You have 64 coins, consisting of pennies, nickels, and quarters. The value of the coins is $4.60. You also know that you have three times as many nickels as quarters. Find the quantity of each type of coins


Number of pennies =


Number of nickels =


Number of quarters =

Answers

Answer 1

Answer:

There are 20 pennies, 33 nickels and 11 quarts.

Step-by-step explanation:

Total number of coins = 64 Amount of money = $4.60 = 460 cents

x = pennies   y = nickels   x = quarters

y x 3 = x

x + y + z = 64 coins

x + 5y + 25z

x + 4z = 64

x + 40z = 460

x = 20  z = 11

y = 3z = 33


Related Questions

LeAnnne has $4 in dimes and nickels. She has 10 more dimes than nickels. How many nickels does she have?

Answers

Answer:

21 she has 21 nickels

Step-by-step explanation:

Googel

The number of nickels LeAnne has 20 and the number of dimes LeAnne has 30.

Given that, LeAnnne has $4 in dimes and nickels.

Let the number of dimes be d and the number of nickels be n.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

She has 10 more dimes than nickels.

That is, d=n+10

So, 0.05n+0.10d=4

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

5n+10(n+10)=400

5n+10n+100=400

15n=300

n=20

d=n+10

d=30

Therefore, the number of nickels LeAnne has 20.

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Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms

Answers

Answer:

A

Step-by-step explanation:

Answer:

conversion from gram to kilogram

u divide the gram by 1000

which is 722/ 1000

=0.722kilograms

i.e answer is A

6th Grade End-of-Module Review Part-xwhole Name Adam Robertson Date 1/12/21 1. Jazzlyn is applying for a job online. She has completed 12 questions. Throughout the application, a bar shows up to represent what percentage of questions she's completed. The progress bar currently shows 25%How many questions are there for the job application? Use a table, diagram, or equation to justify your answer.​

Answers

Answer:

48 questions.

Step-by-step explanation:

x is for the unknown variable, the number you are trying to figure out.

12= 25%x

if you convert to a fraction, 12 is 1/4 of x. if you then multiply your answer by 4, 12 is 25% of 48.

to figure this out you can also ask, 12 is 25% of what number?

A family needs to build fencing around their rectangular home and square swimming pool, depicted below

Answers

Answer:

160

Step-by-step explanation:

A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice. How much sparkling water would you need to mix with 9 quarts of grape juice?

Answers

Answer:

The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.

Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .

In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:

( × 9) ÷  

( × 9) ×  = 18 quarts

To learn more about ratios, please check: brainly.com/question/17995727

Step-by-step explanation:

18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that recipe for sparkling grape juice calls for [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quart of grape juice

Let us convert  [tex]1\frac{1}{2}[/tex] to improper fraction as 3/2

We need to find the amount of sparkling water would you need to mix with 9 quarts of grape juice

Let x be the sparkling water would you need to mix with 9 quarts of grape juice

Let us form a proportional equation.

3/2/(3/4)=x/9

3/2×4/3=x/9

2=x/9

18=x

Hence, 18 quarts of sparkling water would you need to mix with 9 quarts of grape juice.

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Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.

Answers

Answer:

  change = 100y -np

Step-by-step explanation:

The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.

The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.

Her change will be the difference between what she offered in payment and what she owes.

  change = 100y -np

x- (2x + 1) = 8- (3x + 3)

Answers

Answer:

x = 3

Step-by-step explanation:

x- (2x + 1) = 8- (3x + 3)

x - 2x - 1 = 8 - 3x - 3

x - 2x + 3x = 8 - 3 + 1

2x = 6

x = 6/2 = 3

in a class there are 48 students the number of the girls is 3 times how many boys and girls are in class​

Answers

Answer:

There are 12 boys and 36 girls.

Step-by-step explanation:

This equation should help explain it.

x + 3x = 48

Let's say that there are an x number of boys. Then there would be 3 times x of girls. So x (the boys) plus 3x (the girls) equal 48 (the total amount of students).

To solve this equation, first add x and 3x to get 4x. Then divide that by 48, and we get x = 2.

The amount of boys = x, so there are 12 boys.

The amount of girls = 3x, so there are 3 times 12, or 36 girls.

Someone plz help me I’m begging

Answers

Answer:

answer is D

pls I don't confirm sorry

Help with this and explain please

Answers

Answer:

Step-by-step explanation:

-6x + y  = -6                     Add 6x to both sides

y = 6x - 6                         So the slope of the new line is 6

The point the new line has to go through is (-4,0) That will determine b.

y = 6x - 6

x  = - 4

y = 0

0 = 6*(-4) + b                    Combine

0 = - 24 + b                      add 24 to both sides

24 = b  

Answer:  y = 6x + 24

Help me on this mathwork please

Answers

Answer:

m∠I = 56°

m∠1 = 30°

Step-by-step explanation:

The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?

Answers

Answer:

34

Step-by-step explanation:

634 - 600 = 34

Salem is a diver. Today he descended to a depth of 50 feet below sea level. Then he swam up 8 feet and descended another 4 feet. How far below sea level is Salem now?

Answers

Answer:

46 feet below sea level

Step-by-step explanation:

First, we start at -50 feet, which is 50 feet below sea level. If he swims 8 feet up, we should add the 8 feet. -50 + 8 feet which would give us -42. If he descends another 4 feet from the point where he is at right now (-42 feet), it would leave us with the point where he would be which is -46 feet. This is because we are adding the -4 feet, he descends to the -46 feet which he is already at.

Determine the number of solutions the system of 6(x+2)=y and y=3(2x+3) will have.

Answers

Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

__

The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

divide: 994.14 ÷ 18.9

Answers

Answer:

52.6?

Step-by-step explanation:

Step-by-step explanation:

[tex] \\ 994.14 \div 18.9[/tex]

[tex] \\ = \frac{99414}{100} \div \frac{189}{10} [/tex]

[tex] \\ = \frac{49707}{50} \div \frac{189}{10} [/tex]

[tex] \\ = \frac{49707}{50} \times \frac{10}{189} [/tex]

[tex] \\ = \frac{263}{5} [/tex]

[tex] \\ = 52.6[/tex]

given: AE and BD bisect each other.
prove: triangle ACB - triangle ECD

Answers

The Triangles are congruent by SAS Criteria.

The step by step explanation is there in the image I attached.

Hope it helps you....

Please mark as brainlliest!!!

do anybody know the answer to dis

53.9 - 5.07

Answers

Answer:

48.83

Step-by-step explanation

Graph the function f(x)=1/2x+1

Answers

Answer:

See attached graph.

Step-by-step explanation:

What is the area of the following triangle in square meters? Do not round your answer. A =

WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST

Answers

Answer:

0.324 m²

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)

and we apply the formula

1.2 * 0.54 : 2 =

0.324 m²

Answer:

32.4? or 0.324 m²

Step-by-step explanation:

Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options.

Answers

Answer:

Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.

Step-by-step explanation:

The best option will be option A which will be chosen by Demarco and Tanya.

What is finance?

Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.

The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.

Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.

Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.

So, The best option will be option A which will be chosen by Demarco and Tanya.

Learn more about finances;

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The center of an inscribed circle is
formed by the construction of which
three segments?

Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters

Answers

Answer:

Angle bisectors, Perpendicular bisectors, and Circumcenters

Assume you invest $5,000 in an account paying 8% interest compounded annually. How much money will be in the account after 5 years?

Answers

Answer:

$7346.64

Step-by-step explanation:

Amount after 5years=P(1+r/100)^t

let A = amount after 5years

A=$5000(1+8/100)^5

A=$7346.64 to 2 decimal places

I NEED HELP WITH ANOTHER ONE FIND THE MEASURE OF X

Answers

Answer:

x ≈ 3.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )

3.7 × cos29° = x , then

x ≈ 3.2 ( to the nearest tenth )

Answer:

3.2

Step-by-step explanation:

we have two angles, 29 and 90.

we need one more angle to make the total sum of the angles 180.

the angle to do this is 61.

the area of this triangle so far is 2.90244.

using the area, we can find that the x side is 3.23609.

round 3.23609 to the tenth, we get 3.2

Complete the table using the equation y = 8x + 8 ( helppp plsss)

Answers

Answer:

0, 8, 16, 24, 32

Step-by-step explanation:

plug in the values given for x into the 8x+8 equation

Example:

8(-1)+8

8(0)+8

Answer:

(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)

Step-by-step explanation:

To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,

y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)

simpllefie this ansewer 10c–7c

Answers

Answer:

3c

Step-by-step explanation:

10c - 7c = 3c

write an equation in slope-intercept form of the line (-10,-4) and (5,6)

Answers

Answer:

y = 2/3x + 8/3

Step-by-step explanation:

The coefficient in the formula above tells us that there are?

Answers

Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)

Step-by-step explanation:

Willa is building birdhouses . Each side of the birdhouse needs 9 nails . How many nails does Willa need for each birdhouse . There are 7 sides on the birdhouse

Answers

Answer:

63

Step-by-step explanation:

I side=9 nails*1= 9nails

7 sides= 9*7 nails= 63 nails

Each birdhouse requires 63 nail.

Hope this helps!

ggraph this function

Answers

Answer:

The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.

Using the formula find the slope of a line with the points (10,20) and (30,50).

Answers

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

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