You Have $8. 80 In Pennies And Nickels. You Have Twice As Many Nickels As Pennies. Write A System Of (2024)

Mathematics High School

Answers

Answer 1

Let x represent the number of pennies and y represent the number of nickels. The system of linear equations is: x + y = 8.80 and 2x = y. Solving these equations algebraically yields x = 4 and y = 8. Therefore, you have 4 pennies and 8 nickels.

Let x represent the number of pennies and y represent the number of nickels. The system of linear equations is: x + y = 8.80 and 2x = y. This means that the total number of coins is 8.80, and that there are twice as many nickels as pennies. To solve these equations algebraically, we first add the equations together to get 3x = 8.80. By dividing both sides by 3, we get x = 2.67. We can then substitute this value of x into the second equation to get 2(2.67) = y, which simplifies to y = 5.34. This means that there are 2.67 pennies and 5.34 nickels. Since coins come in whole numbers, we can round these values down to 4 pennies and 8 nickels. Therefore, you have 4 pennies and 8 nickels.

x + y = 8.80

2x = y

3x = 8.80

3x / 3 = 8.80 / 3

x = 2.67

2(2.67) = y

2.67 * 2 = y

y = 5.34

x = 4

y = 8

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Related Questions

A circular plate has circumference 33.9 inches. what is the area of this plate? use 3.14 for it.
the area of this plate is about square inches.
(round the final answer to the nearest whole number as needed. round all intermediate values to the nearest
thousandth as needed.)
the area of the plate is about
inches squared

Answers

If circular plate has circumference 33.9 inches, then area of this plate is 91.223 square inches.

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that circumference of a circular plate is 33.9 inches.

We need to find the area.

Circumference =2πr

33.9=2×3.14×r

33.9=6.28r

Divide both sides by 6.28 to find r

5.39=r

Now let us find the area=πr²

Area of plate=3.14×(5.39)²

=3.14×29.05

=91.223 square inches.

Hence, the area of the plate is 91.223 square inches.

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Please help if you can!!

the gateway arch was designed by eero saarinen and was constructed using the equation
y=211.49-20.6cosh(0.03291765x)
for the central curve of the arch, where x and y are in meters and the absolute value of x is less than or equal to 91.20

if the height is 60 m at the points (-81, 60) and (81, 60), what is the slope of the arch at these points?

Answers

The equation for the central curve of the arch is y=211.49-20.6cosh(0.03291765x). Therefore, the slope of the arch at (-81, 60) and (81,60) is given by the derivative of the equation, which is 0.

The equation for the central curve of the arch is

y=211.49-20.6cosh(0.03291765x).

Taking the derivative of the equation with respect to x gives:

dy/dx = -0.2060*(sinh(0.03291765x)*(0.03291765))

Substituting x=-81 and x=81 into the equation gives:

dy/dx = 0

Therefore, the slope of the arch at

(-81,60) and (81,60) is 0.

The equation for the central curve of the arch is

y=211.49-20.6cosh(0.03291765x).

Taking the derivative of this equation with respect to x gives the slope of the arch at any point. Substituting

x=-81 and x=81

into the equation gives a result of 0, meaning that the arch has a flat top and bottom at these points, with a slope of 0. Therefore, the slope of the arch at (-81, 60) and (81,60) is 0.

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You bought a laptop computer for $525 on the "12 months is the same as cash" plan. the terms of the plan on the contract stated that if
not paid within 12 months, you would be assessed 15.5 percent apr for the amount on the first day of the plan
if you pay the laptop in 11 months, how much will you have paid?
a. $525
b. $540.50
c. $595.50
d. $606.38

Answers

By using Percentages , Only $525 is required from you.

What in math is a percentage?

In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage.

For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).

You spent $525 on a twin refrigerator and freezer using the same payment plan as cash over 12 months.

According to the contract's conditions, you would be charged 15.5 percent annual percentage rate (APR) for the amount if it wasn't paid within 12 months.

You paid for the appliance in 11 months, thus there are no more fees due. There will be no extra interest.

The contract simply specifies a $525 payment from you.

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Find the measure of the arc or angle indicated. Question 25

Answers

Applying the inscribed angle theorem, the measure of the indicated arcs and angles are:

22. m∠CAB = 45°

23. Measure of arc DC = 120°

24. Measure of arc QR = 88°

25. m∠NWY = 46°

What is the Inscribed Angle Theorem?

The Inscribed Angle Theorem states that if an angle is inscribed in a circle (that is, if the angle's vertex is on the circle and its sides are chords of the circle), then the measure of the inscribed angle is half the measure of the measure of its intercepted arc.

Also, the measure of two inscribed angles that intercepts the same arc, have equal angle measure.

22. m∠CAB = 1/2(90)

m∠CAB = 45°

23. Measure of arc DC = 2(measure of inscribed angle DBC)

Measure of arc DC = 2(60)

Measure of arc DC = 120°

24. Measure of arc AS = 2(46) = 92°

Measure of arc QR = 180 - 92 = 88°

25. Measure of arc NT = 180 - 88 = 92°

m∠NWY = 1/2(92) = 46°

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the number of content changes to a web site follows a poisson distribution with a mean of 0.25 per day. a) what is the probability of two or more changes in a day? b) what is the probability of no content changes in five days?

Answers

The likelihood of at least two changes every day is 0.0263, according to the Poisson probability law. As a result, 0.0263% of changes occurring twice or more per day.

What is probability ?

The probability calculation mathematical formula, which it describes, calculates all the odds for a thing to happen in the context of particular random events. It is possible to feel less confident in the outcome the closer a probability is near the unit value or, conversely, the closer it is to zero. The probability value, which is derived using a number between 0 and 1, determines the degree of confidence by how close it is.

calculation

The average number of times the event occurs during a certain time span makes up the probability distribution function for X.

The experiment entails counting how frequently an event occurs during a given period, or x.

For each period, there is an equal chance that the event will occur.

The quantity of occurrences in one interval does not depend on the quantity of occurrences in other intervals.

Step: 1 (a)Set the number of content updates to a website as the discrete random variable X.

Per day, let there be an average of x number of content updates.

The likelihood of at least two changes every day is 0.0263, according to the Poisson probability law.

As a result, 0.0263% of changes occurring twice or more per day.

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How far would pete walk if he went from a to b to c? yards the direct distance from a to c is more than yards. the inequality w < represents the distance, w, that pete might save by taking the direct path.

Answers

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

or

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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The complete question is :

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?How far would Pete walk if he went from A to B to C ........... yards

The direct distance from A to C is more than yards.

The inequality w < represents the distance, w, that Pete might save by taking the direct path.

Which expression is a prime polynomial? A. x 3 − 27 ⁢ y 6 B. x 4 + 20 ⁢ x 2 − 100 C. 10 ⁢ x 4 − 5 ⁢ x 3 + 70 ⁢ x 2 + 3 ⁢ x D.

Answers

The expression that is a prime polynomial in the given expression is x^4 + 20x^2 − 100

What are prime polynomials?

It's important to note that prime polynomials are different from prime numbers. Prime numbers are numbers that are divisible only by 1 and themselves, while prime polynomials are polynomials that cannot be factored into the product of two polynomials with integer coefficients.

From the information given:

a) [tex]x^ 3 -27 y^6[/tex]

Since both terms are perfect cubes, factor using the difference of cubes formula,

[tex](x- (3y^2))(x^2+x(3y^2)+(3y^2)^2)[/tex]

[tex](x-3y^2)(x^2+3xy^2+9y^4)[/tex]

b) [tex]x^4 + 20x^2 - 100[/tex] ...The expression is not factorable, hence it is a prime polynomial.

c) [tex]10x^4-5x^3+70x^2+3x[/tex]

[tex]x(10x^3-5x^2+70x+3)[/tex]

Therefore, we conclude that the expression that is a prime polynomial is [tex]x^4 + 20x^2 - 100[/tex]

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which of the relation symbol is to be placed on the blank to make the numerical semtence correct

Answers

The relation symbol that is to be placed on the blank to make the numerical sentence correct is "<". (Option B) Thus, the correct numerical statement is: -75 < 4.

What is the interpretation of the above statement?

The above statement is suggestive of the fact that -75 is less than 4. Note that the relational symbol for "less than" is "<".

Relational symbols are mathematical symbols that are used to represent relationships between two or more quantities. Some common examples include "=", "≠", ">", "≥", "<", and "≤". These symbols are used to express equality, inequality, and relative magnitude in mathematical statements and equations.

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Full Question:

Which of the relation symbol is to be placed on the blank to make the numerical sentence correct? -75 ___ 4

A >

B <

C =

D all o the above

In a certain community, there are 3 families consisting of a single parent and 1 child, 3 families consisting of a single parent and 2 children, 5 families consisting of 2 parents and a single child, 7 families consisting of 2 parents and 2 children, and 6 families consisting of 2 parents and 3 children. if a parent and child from the same family are to be chosen, how many possible choices are there

Answers

If from a certain community , if a parent and child from the same family are to be chosen , then the number of possible choices are 83 .

In the given Community , there are

3 families ⇒ 1 parent and 1 child ;

3 families ⇒ 1 parent and 2 children ;

5 families ⇒ 2 parent and 1 child ;

7 families ⇒ 2 parent and 2 children ,

6 families ⇒ 2 parent and 3 children .

total number of families is = 24 families ,

The total number of ways to select a parent and child from same family is computed as :

= (number of families) × (number of parent) × (number of children) for each case ,

= 1×1×3 + 1×2×3 + 2×1×5 + 2×2×7 + 2×3×6

= 3 + 6 + 10 + 28 + 36

= 83

Therefore , the total number of ways to make the required selection is 83 ways .

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Choose the linear equation that is parallel to the equation y=2x+5

Answers

The linear equation that is parallel to y = 2x + 5 is the one in the third option:

y = 2x - 4

Which linear equation is parallel to y = 2x + 5?

The general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Particularly, two linear equations are parallel if both lines have the same slope and different y-intercept.

So a line will be parallel to y = 2x + 5 if and only if that line is written as:

y = 2x + c

Where c is different than 5.

By looking at the options there is only one with this form, which is the third option:

y = 2x - 4

That is the parallel line.

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During the romanesque period, stone sculpture began to be produced again in greater numbers. What was most likely the cause of this increase in stone sculpture production?.

Answers

The correct option C. Funeral masks became very popular due to the Black Plague, so common people were buying sculptural masks for their dying relatives.

Describe the term romanesque period?

Romanesque buildings are noted for their soaring round arches, substantial stone and brickwork, tiny windows, sturdy walls, and inclination to house works of art and sculpture that reflect biblical scenes.

Between the Roman and Gothic styles, the romanesque period about or relating to the a style of architecture established in Italy and western Europe. This style's development after 1000 is characterized by the usage of the round arch as well as vault, the replacement of piers for columns, the decorative utilisation arcades, and a profusion of ornament.The majority all Romanesque sculpture has a biblical theme and is depictive. Building capitals depict a variety of topics, including the Life of Christ, the Creation & Fall of Man,

As a result, the Black Plague made funeral masks highly popular, which led to a rise in the manufacture of stone sculptures as regular people bought sculptural masks for their dying relatives.

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The complete question is-

During the Romanesque period, stone sculpture began to be produced again in greater numbers. What was MOST LIKELY the cause of this increase in stone sculpture production?

A. Most people commissioned busts of their entire families because individualism was strong during this time period.

B. Most Romanesque sculpture is religious in nature, either in its use or subject matter, and the spread and fervor of religion was strong at the time.

C. Funeral masks became very popular due to the Black Plague, so common people were buying sculptural masks for their dying relatives.

D. Sculpture of this time was completely pleasant and welcoming, so more people wanted these optimistic pieces in their homes.

Answer:

Most Romanesque sculpture is religious in nature, either in its use or subject matter, and the spread and fervor of religion was strong at the time.

Step-by-step explanation:

Sculpture also reappeared in the Romanesque period in a big way. Stone sculpture had languished in Europe since the works of the ancient societies. Freestanding sculptures, for example, were largely absent from the artwork produced after the fifth century. Some stone relief was still produced, generally as ornaments for architecture. During the Romanesque period, stone sculpture began to be produced again in greater numbers, prompted by the spread and fervor of religion at the time. In addition, metalwork sculpture increased, often drawing inspiration from manuscript illustrations to create intricate and detailed patterns

a = 42 correct to 2 significant figures. b = 24 correct to 2 significant figures. c = 14 correct to 2 significant figures. C Work out the lower bound for the value of y. Give your answer correct to 2 significant figures.

y = 2a /b-c​

Answers

Work out the theoretical limit for such value of the y to be 8.4 based on the above statement.

Why are these numbers relevant, exactly?

Significant figures are now the quantity of digits that add to the correctness of a value, frequently a measurement. That the very first non-zero digit is where we keep tracking measured values. After the numeral, all the zeros to the correct of the previous non-zero digit are important. Consider the five important digits in the equation 0.0079800. If the zeros immediately following the last non-zero digit are applied to represent something, they are all significant.

Calculation:

y = 2a/b-c

a = 42,

b = 24,

c = 14

y = 2(42)/24-14

y = 84/10

y = 8.4

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Anastasia is ordering party hats for an upcoming celebration

and wants to spend a maximum of $45. If she orders from

Party Pros, write an inequality to represent the number of

hats she can purchase and stay within her

budget.

Answers

An inequality to represent the number of hats she can purchase and stay within her budget 45 ≥ hx, where h is number of hats and x is the price of hats.

What is inequality?

Inequality, A declaration of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Equations and theorems are both forms of posing inequality problems as either questions or statements of fact. For instance, the triangle inequality states that the length of the remaining side of a triangle is greater than or equal to the sum of the lengths of any two of its sides.

Many of these inequalities, including the Cauchy-Schwarz inequality, are used in the proofs of some of mathematical analysis' most significant theorems.

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Enter your answer with dollars and cents only. For

example 25. 00 or 25. 16

Marty wants to use a coupon to buy a jacket that

cost $72. His coupon is for 20% off. He also needs

to calculate a 5% sales tax.

Part A: What is the discounted price BEFORE tax?

Part B: What is the total cost of the jacket, after tax

is included?

Answers

Part A: the discounted price BEFORE tax = $14.4

Part B: the total cost of the jacket, after tax is included = $60.48

In this question we have been given Marty wants to use a coupon to buy a jacket that cost $72. His coupon is for 20% off. He also needs to calculate a 5% sales tax.

We need to find the discounted price BEFORE tax and the total cost of the jacket, after tax is included.

A jacket costs $72.

Marty's coupon is for 20% off.

To find the discounted price we need to find the 20 percent of $72

72 * (20/100) = $14.4

After applying the discount coupon, the price of the jacket would be,

72 - 14.4 = $57.6

Now we find 5 percent of 57.6

57.6 * (5/100) = 2.88

The total cost of the jacket, after tax is included would be,

57.6 + 2.88 = $60.48

Therefore, the discounted price = $14.4 and the total cost of the jacket, after tax is included = $60.48

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What improves digestion and absorption of nutrients?

Answers

Combining the ideal nutrients (such as iron and vitamin C), taking probiotics and prebiotics, controlling stress, and thoroughly chewing food these helps to improve absorption of nutrients .

What is meant by absorption of nutrients ?

When nutrients are absorbed into your bloodstream and sent to your body's cells, absorption takes place in the small intestine. 1st slide of 1. Food must be digested in order to be broken down into nutrients that the body may use for energy, development, and cell repair.

Food molecules, water, and dietary minerals are stored in the hollow of the upper small intestine.

Following digestion, food is broken down into nutrients such proteins, lipids, carbs, vitamins, and minerals. All of these nutrients are taken up by the small intestine and absorbed into the blood, where they are then transported to various body organs.

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Sandy has a garden in her backyard. the drawing shows the dimensions of her garden. a bag of fertilizer covers 3 square feet.

a triangle has a base of 4 feet and height of 6 feet.

how many bags of fertilizer will sandy need to cover her garden?

the area of the garden is
feet2.

sandy will need
bags of fertilizer to cover her garden.

Answers

1) The area of the garden is 12 square feet.

2) Sandy will need 4 bags of fertilizer to cover her garden.

In this question we have been given that Sandy has a garden in her backyard.

From given figure we can see that the dimensions of her triangular garden:

base = 4 ft. and height = 6 ft.

We need to find the area of her garden.

Using the formula of area of triangle,

A = 1/2 * base * height

A = 1/2 * 4 * 6

A = 2 * 6

A = 12 square feet

Given that a bag of fertilizer covers 3 square feet.

We need to find the number of bags of fertilizer Sandy will need to cover her garden.

1 bag of fertilizer covers 3 square feet.

Let x bags of fertilizer covers 12 square feet.

By unitary method,

x = 12/3

x = 4

So, 4 bags will need to cover her garden.

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Answer:

Answer is below

Step-by-step explanation:

How many bags of fertilizer will Sandy need to cover her garden?

The area of the garden is

✔ 12

feet2.

Sandy will need

✔ 4

bags of fertilizer to cover her garden.

Bolin is taking classes to learn tai chi a chinese martial art. the constant of proportionality between to cost and number of classes is 16. what is the unit rate for dollars per class?

Answers

The unit rate for the classes is $16.

Given data:

The unit rate represents the cost per class, which is the cost divided by the number of classes.

In this case, the constant of proportionality between the cost and the number of classes is given as 16.

So, divide the cost (in dollars) by the number of classes.

Unit rate = Cost / Number of classes

On simplifying the equation:

A = 16

Hence, the unit rate for dollars per class is $16.

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Based on the number line and the fact that XW = YZ, evaluate the statement "W must be at –3. "

Answers

Given statement W must be at -3 is not correct W must be over -3 is a correct statement.

let's first understand what is the number line.

Number lines are horizontal straight lines with integers placed at equal intervals in mathematics. A number line can represent all of the numbers in a sequence. At both ends, this line continues indefinitely.

A number line is a diagram that depicts numbers on a straight line. It is a tool for comparing and ordering numbers. It can represent any real number, including whole numbers and natural numbers. To recap, the whole number is a set of numbers that includes all counting numbers (1, 2, 3,4,5,6.......) and zero (0), whereas the natural number is the set of all counting numbers (1, 2, 3, 4, 5, 6........).

It is easier to compare numbers when they are written on a number line. The integers on the left side are smaller than the integers on the right side, as shown in the above figure.

The W should go above the -3. The statement states unequivocally that W should be -3. As a result, simply enter a W greater than -3.

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1/ Expliquer brièvement la nécessité du dévloppement des énergies renouvelables.
2/ Le dispositif contient un alternateur qui rend possible la conversion réalisée. Nommer et expliquer brièvement le phénomène physique permettant cette conversion

Answers

Answer:

1. Ce qui fait des énergies renouvelables une raison de se développer, c'est parce qu'elles utilisent une source qui peut être éternelle. Les combustibles fossiles sont notre principale énergie, mais cela ne durera pas éternellement.

2) Le courant alternatif rend cela possible.

Si vous recherchez un phénomène naturel, il peut s'agir du solaire, de l'hydroélectricité, du vent, de la biomasse, etc. Selon le contexte.

Calculate the size of the label to fit around the tin of soup assuming it's glued
on with no overlap.
remember- the label is not on the top or bottom of the can!

the campbell soup can is 12.5 cm in height and 7.5 cm in width

Answers

So, the label should be at least 23.5 cm in length to fit around the can with no overlap. It should also be at least 12.5 cm in height to cover the entire height of the can.

Exactly what is a math area?

Area is the quantity that describes how much space a flat (2-D) surface or an object's shape occupy. Use a pencil to mark a square on the paper. Specifically, a 2-D figure. A shape's area on paper is referred to as its "Area" in this sentence. Imagine that your square is made out of more compact unit squares.

To calculate the size of the label to fit around the tin of soup, you will need to know the circumference of the can. To find the circumference, you can use the formula for the circumference of a circle, which is C = 2 * pi * r, where C is the circumference, pi is approximately 3.14, and r is the radius of the can.

The radius of the can is half of the width, or 7.5 cm / 2 = 3.75 cm. Using this value for the radius, we can calculate the circumference of the can as follows:

C = 2 * 3.14 * 3.75 cm = 23.5 cm

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Find values of a and b that make the following equality into identity:

2x+5/(x-8)(2x+1)=a/x-8 + b/2x+1 !!!

please help!! giving 50 points

Answers

The value of a on that expression is 2[tex]\frac{1}{3}[/tex] or 2,33. The value of b on that expression is 2[tex]\frac{2}{3}[/tex] or 2,67.

How to find the value a and b?

the first step you have to do is to simplify the expression as follow:

[tex]\frac{2x+5}{(x-8)(2x+1)} = \frac{a}{x-8} + \frac{b}{2x+1}[/tex] .

[tex]\frac{2x+5}{(x-8)(2x+1)} = \frac{a(2x+1)}{(x-8)(2x+1)} + \frac{b(x-8)}{(2x+1)(x-8)}[/tex]

[tex]\frac{2x+5}{(x-8)(2x+1)} = \frac{a(2x+1)+b(x-8)}{(x-8)(2x+1)}[/tex]

2x + 5 = a(2x+1) + b(x-8)

2x + 5 = 2ax + a + bx - 8b

2x + 5 = (2a+b)x + (a - b)

Based on constant x, we can find out that:

2 = 2a+b

5 = a - b

Eliminate b, then

2 + 5 = 2a + a + b + (-b)

7 = 3a

a = 2[tex]\frac{1}{3}[/tex] = 2.33

After getting a value then substitute a to 5 = a - b or 2 = 2a + b, then

5 = a - b

5 = 2[tex]\frac{1}{3}[/tex] - b

b = 2[tex]\frac{1}{3}[/tex] - 5

b = - 2[tex]\frac{2}{3}[/tex] = -2.67

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An object is thrown upward from the top of a 200 foot cliff with a velocity of 12 feet per second. The height h in feet of the object after t second is h= -16t + 12t + 200.
How long after the object is thrown will it strike the ground?

Answers

The time It takes the object to strike the ground after it is thrown is 3.93 s

How to find how long after the object is thrown will it strike the ground?

Since an object is thrown upward from the top of a 200 foot cliff with a velocity of 12 feet per second. The height h in feet of the object after t second is h= -16t² + 12t + 200.

Since the object is a parabola, the time it takes to strike the ground is when it strikes the ground at h = 0.

So, h = 0

⇒ -16t² + 12t + 200 = 0

Dividing through by -4, we have that

-16t²/-4 + 12t/-4 + 200/-4 = 0/-4

4t² - 3t - 50 = 0

Using the quadratic formula, we find t

[tex]t = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]where

a = 4, b = -3 and c = -50

So, substituting the values of the variables into the equation, we have that

[tex]t = \frac{-(-3) +/- \sqrt{(-3)^{2} - 4\times4\times(-50)} }{2\times4}\\= \frac{3 +/- \sqrt{9 + 800} }{8}\\= \frac{3 +/- \sqrt{809} }{8}\\= \frac{3 +/- 28.443}{8}\\= \frac{3 + 28.443}{8} or t = \frac{3 - 28.443}{8}\\= \frac{31.443}{8} or t = \frac{- 25.443}{8}\\t = 3.93 s or t = -3.18 s[/tex]

Since t cannot be negative, t = 3.93 s

So, it takes 3.93 s to strike the ground

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Rewrite in simplest terms: -(-9q-q+3)-10q−(−9q−q+3)−10q

Answers

Answer:

-9 -18q

Step-by-step explanation:

-(9q-q+3)-10q-(-9q-q+3)-10q

-9q + q -3 -10q +9q +q -3 -10q Combine like terms

-9 - 29q + 11q

-9 -18q

Lane put together 32 red cubes and 32 white 1 x1 x1 cubes to make a 4 x 4 x 4 cube. What is the largest number of red 1 x 1 squares that could be on the surface of the large cube

Answers

The largest number of 96 red squares is on the surface of the large cube because there are only 32 red cubes available to use.

What is the cube?

A cube is a solid shape with six square faces. Each square face has the same side length and thus all the faces have the same size. A cube has 12 edges and 8 vertices. Each vertex refers to a corner where three edges of a cube meet.

To find the largest number of red 1 x 1 squares that could be on the surface of the large cube, we can consider all of the possible arrangements of the red and white cubes that form the large cube.

Since each face of the large cube is a 4 x 4 grid, there are a total of 6 faces, and each face has 16 squares. Therefore, the maximum number of red squares on the surface of the large cube is 6 x 16 = 96.

To achieve this maximum, we would need to arrange the cubes so that each face of the large cube has all 16 red cubes. This would give us a total of 16 red squares on each face, for a total of 96 red squares on the surface of the large cube.

It is not possible to have more than 96 red squares on the surface of the large cube, because there are only 32 red cubes available to use.

Hence, the largest number of 96 red squares is on the surface of the large cube, because there are only 32 red cubes available to use.

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Answer:

Step-by-step explanation:

72 squares

Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. (fill in the spots that say select and imagine the part that says 7/48 is a [select])

Answers

Answer:

D [tex]\frac{6}{25}[/tex]

C has the lower unit rate.

Step-by-step explanation:

Unit rate for D

[tex]\frac{1}{5}[/tex] ÷[tex]\frac{5}{6}[/tex]

[tex]\frac{1}{5}[/tex] x [tex]\frac{6}{5}[/tex] = [tex]\frac{6}{25}[/tex]

Compare for the lowest unit rate

C [tex]\frac{7}{48}[/tex]

D[tex]\frac{6}{25}[/tex]

Common denominator of 1200

[tex]\frac{7}{48}[/tex] x [tex]\frac{25}{25}[/tex] = [tex]\frac{175}{1200}[/tex]

[tex]\frac{6}{25}[/tex] x [tex]\frac{48}{48}[/tex] = [tex]\frac{288}{1200}[/tex]

Ella set up 210 chairs at 15 tables for the sports banquet. She put the same number of chairs at each table. How many chairs per 1 table?

Answers

Ella set up 14 chairs in each table using simple division.

What is Word Problem ?

A word problem is a type of mathematics exercise where the majority of the issue's context is supplied in spoken language as opposed to mathematical notation.

A math word problem is a question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Word issues, also known as narrative problems, may be found in both daily life and the Common Core State Standards for every school level, from K to 12. For everything from counting pennies to calculating a gratuity, you can utilize the three primary forms of word problems: part-part whole, separate and join, and multiply and divide.

Total number of Chairs = 210

Total number of Tables = 15

Number of Chairs in each Table is = 210/15 = 14

There are 14 chairs in each table.

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Carmen estimated that she would pay $19 to park in a downtown parking garage for a 3-hour event. After spending 5

hours downtown she paid $25 for parking.

2 questions:

1. What is the y-intercept in coordinate form?

2. What does the y-intercept represent in this problem situation?

Answers

In coordinate form, y-intercept is (0,10)

This is fixed cost or entry fee

What is slope?

A line's steepness is determined by its slope. In mathematics, the slope is determined by "rise over run" (change in y divided by change in x).

Let x is the hours and y is the amount

write them in (x,y) form:

(x1,y1)=(3,19)

(x2,y2)=(5,25)

slope m= (y2-y1)/(x2-x1) = (25-19)/(5-3) = 6/2 = 3

point slope form:

y-y1=m(x-x1)

y-19 = 3(x-3)

y-19 = 3x-9

y= 3x-9 +19

y=3x+10 which is in y=mx+b form

Here, y-intercept is b = 10

In coordinate form it is (0,10)

This is fixed cost or entry fee

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suppose that i have $6$ different books, $2$ of which are math books. in how many ways can i stack my $6$ books on a shelf if i do not want the math books to be next to each other?

Answers

There are 678 ways to stack the 6 books on the shelf if the math books cannot be next to each other.

To solve this problem, we can use the principle of inclusion-exclusion. We start by considering the total number of ways to arrange the 6 books on the shelf, which is 6! = 720. However, this includes arrangements where the math books are next to each other, so we need to subtract these cases.

There are 2 ways to choose which math book will be on the left, and 4! = 24 ways to arrange the remaining 4 books, for a total of 224 = 48 arrangements where the math books are next to each other. However, this overcounts arrangements where the math books are next to each other and there is another math book on either side, so we need to add these cases back in.

There is only 1 way to arrange the 3 math books in this case, and 3! = 6 ways to arrange the remaining 3 books, for a total of 16 = 6 arrangements where the math books are next to each other and there is another math book on either side.

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Heather took part in a dance marathon. she received each donation as either a one-time amount or an amount for each hour she danced. heather received $956 in one-time donations and danced for a total of 12 hours. she raised a total of $1,452.80. which equation represents this situation, where x is the amount heather received for each hour she danced?

Answers

The equation which represents this situation, where x is the amount heather received for each hour she danced will be

The equation that represents this situation is:

x = (1452.80 - 956) / 12

An equation is a declaration of the equality of the values of two mathematical expressions. Two items are equal according to the results of a mathematical formula. It is denoted by the equals symbol ('=').

For instance, 8+2=12-2 is the equation.

Where x is the amount Heather received per hour of dancing, 12 is the number of hours she danced, 956 is the total one-time donation and 1452.80 is the total amount raised by Heather.

This equation can be used to find the value of x which represents the amount Heather received per hour of dancing by isolating x on one side of the equation by dividing both sides by 12.

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List the sides of AFGH in order from least to greatest if mZF = (5x + 6), mZG = (12x - 4y, and

mZH = (4x + 31)

Answers

The order of the sides of ΔFGH from least to greatest is GH, FG, and FH.

First, solve for the value of x.

The sum of the interior angles of a triangle is 180°. Hence,

m∠F + m∠G + m∠H = 180°

(5x + 6) + (12x - 4) + (4x + 31) = 180°

21x = 180° - 33°

21x = 147°

x = 7°

Determine the measure of each angle.

m∠F = (5x + 6) = 5(7) + 6 = 41°

m∠G = (12x - 4) = 12(7) - 4 = 80°

m∠H = (4x + 31) = 4(7) + 31 = 59°

Note that the side of a triangle corresponds to its opposite angle, such that m∠F, m∠G, and m∠H corresponds to side GH, FH, and FG, respectively. The longest side of a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

m∠F < m∠H < m∠G

GH < FG < FH

Hence, the sides of AFGH in order from least to greatest is GH, FG, and FH.

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You Have $8. 80 In Pennies And Nickels. You Have Twice As Many Nickels As Pennies. Write A System Of (2024)

FAQs

How many pennies equal 2 nickels? ›

A dime is worth 10 cents and is equal to 2 nickels or 10 pennies. A penny is worth 1 cent. Five pennies have the same value as 1 nickel.

What is the value of my coins if I have p pennies and nickels and twice as many quarters as pennies? ›

Calculate the total value of the pennies: p pennies × 1 cent = p cents. Calculate the total value of the nickels: n nickels × 5 cents = 5n cents. Calculate the total value of the quarters: 2p quarters × 25 cents = 50p cents. Add up the total value of all coins: p + 5n + 50p = (p + 5n + 50p) cents.

How many cents do you have if you have 2 nickels? ›

Conversion of Nickels into Dimes

As 10 cents form a dime, and 1 nickel equals 5 cents, we can say that 2 nickels make up a dime.

How much is 2 in nickels? ›

A: A standard roll of nickels contains 40 coins, which equals $2.

What does 2 pennies make? ›

Here are two pennies. Its value is two cents or 0.02 dollars. Here are four pennies. Its value is four cents or 0.04 dollars.

How many pennies make a nickel? ›

A nickel is worth 5 pennies. A dime is worth 10 pennies. A quarter is worth 25 pennies. Multiply the number of a type of coin times its value in pennies.

How much is nickels pennies? ›

A penny is worth 1 cent. A nickel is worth 5 cents. A dime is worth 10 cents. A quarter is worth 25 cents.

How do you value pennies? ›

Values fluctuate based on mintage, condition, and demand. From the prized 1859 to wheat pennies and beyond, explore which old Lincoln cents are most valuable. Key factors like mintmarks, strike quality, and if they are uncirculated mint state or well-worn all impact a penny's worth.

Why are 2 coins rare? ›

It is therefore not surprising that amongst all of these circulating coins there are some rare 2 pound coin examples to be found. They may be rare because only a small number were initially minted, or due to errors during minting.

How much is 1 cent worth? ›

The cent, the United States of America one-cent coin (symbol: ¢), often called the "penny", is a unit of currency equaling one-hundredth of a United States of America dollar.

How many dimes is 2 nickels? ›

Relationship between Dime and Nickel

A nickel is worth 5 cents, and a dime is worth 10 cents. So, one dime is worth the same as two nickels. Accordingly, we can say that the value of a nickel is half the value of a dime.

Which isn't a lot but it's strange that it happened twice? ›

Dr. Heinz Doofenshmirtz : Wow, if I had a nickel for every time I was doomed by a puppet, I'd have two nickels - which isn't a lot, but it's weird that it happened twice. Dr.

How much is a nickel in pennies? ›

US currency nickname conversion: a penny = 1 cent, a nickel = 5 cents, a dime = 10 cents and a quarter = 25 cents.

Which has the same value as 2 nickels? ›

A nickel is worth 5 cents, and a dime is worth 10 cents. So, one dime is worth the same as two nickels.

What does 22000 pennies equal? ›

(With a processing fee, that comes to $222.60.)

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