Shelley has a collection of dimes, nickels and quarters that is worth $5.25. There are a total of 48 coins. If there are 7 more nickels than quarters, how many dimes are there?

Answers

Answer 1

Answer:

25 dimes

Step-by-step explanation:

Given

Coins: Nickels (N), Quarters (Q) , and Dimes (D)

$0.05 = 1 nickel, $0.10 = 1 dime  and $0.25 = 1 quarter

So, the amount implies:

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

The number of coin implies:

[tex]N + D + Q = 48[/tex]

and

[tex]N = 7 + Q[/tex]

Required

Determine the number of Dimes

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

[tex]N + D + Q = 48[/tex]

[tex]N = 7 + Q[/tex]

Substitute 7 + Q for N in the first and second equation

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

[tex]0.05(7 + Q) + 0.10D + 0.25Q = 5.25[/tex]

[tex]0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25[/tex]

Collect Like Terms

[tex]0.10D + 0.25Q+0.05Q = 5.25 - 0.35[/tex]

[tex]0.10D + 0.30Q = 4.90[/tex] ----- (1)

[tex]N + D + Q = 48[/tex]

[tex]7 + Q + D + Q = 48[/tex]

Collect Like Terms

[tex]D + Q + Q= 48 - 7[/tex]

[tex]D + 2Q= 41[/tex]

Make Q the subject

[tex]2Q = 41 - D[/tex]

[tex]Q = \frac{41}{2} - \frac{D}{2}[/tex]

[tex]Q = 20.5 - 0.50D[/tex]

Substitute 20.5 - 0.50D for Q in  (1)

[tex]0.10D + 0.30Q = 4.90[/tex]

[tex]0.10D + 0.30(20.5 - 0.50D) = 4.90[/tex]

[tex]0.10D + 0.30*20.5 - 0.30*0.50D = 4.90[/tex]

[tex]0.10D + 6.15 - 0.15D = 4.90[/tex]

[tex]0.10D - 0.15D = 4.90 - 6.15[/tex]

[tex]-0.05D = -1.25[/tex]

Solve for D

[tex]D = \frac{-1.25}{-0.05}[/tex]

[tex]D = 25[/tex]

Hence, there are 25 Dimes


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step 1: Simplify both sides of the equation.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

or 216 months 0 days

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or 157,800 hours

or 9,468,000 minutes

or 568,080,000 seconds

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Answer:

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Step-by-step explanation:

This the answer to the equation.

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

The answer is rotation

The transformation that was used to create the pattern is rotation. The correct option is A, rotation.

What is the transformation in logic?

If two formulae are logically identical, either one may replace the other in any well-formed context without changing anything's truth value or inferential qualities. This is a fundamental property of logic.

The given figure in the top is needed to be transformed such that the pattern given below is produced. Therefore, if we observe the figure at the top and the pattern, then it can be seen that the given figure is rotated by 90° to create the given pattern. The pattern will be formed.

Hence, the transformation that was used to create the pattern is rotation.

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A

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Answers

Answer:

-13/7

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Answer:

26/-14

Step-by-step explanation:

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Answers

Answer:

0.9 of an inch

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

y=x-1

Step-by-step explanation:

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Let's solve for y.

x−y=1

Step 1: Add -x to both sides.

x−y=1+−x

−x

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Answer:

y=x−1

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D) 67/10

Answers

Answer:

C

Step-by-step explanation:

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Answer: 5/9

Step-by-step explanation:

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Answers

Answer:

8

Step-by-step explanation:

1/2 of 48 marbles is 24

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Answers

Answer:

6

Step-by-step explanation:

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Answers

Answer:

5a^2+7a

Step-by-step explanation:

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The answer to your question is 5a^2+7a

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Answers

Answer:B

Step-by-step explanation:

27 < AB < 81 expresses all possible lengths of segment AB

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27+54>AB

81>AB

AB<81

27+AB>54

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AB>27

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Answers

Answer:

Each eraser costed 5 dollars

Step-by-step explanation:

25.00 - 5.00= 20.00 and 20.00 ÷ 4=5 and 5x4=20

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0.31
3.1
31
310

Answers

Answer:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 62 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 62 is 100%, so we can write it down as 62=100%.

4. We know, that x is 50% of the output value, so we can write it down as x=50%.

5. Now we have two simple equations:

1) 62=100%

2) x=50%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

62/x=100%/50%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 50% of 62

62/x=100/50

(62/x)*x=(100/50)*x       - we multiply both sides of the equation by x

62=2*x       - we divide both sides of the equation by (2) to get x

62/2=x

31=x

x=31

now we have:

50% of 62=31

50 percent of 62 is equal to 31.  the correct answer is option C) 31.

To convert a number to a percentage, you typically multiply the number by 100 and add the percentage symbol (%).

To find 50 percent of 62, we can calculate it by multiplying 62 by 0.50 (which is equivalent to 50 divided by 100).

62 * 0.50 = 31

Therefore, 50 percent of 62 is equal to 31.

So, the correct answer is option C) 31.

Options A) 0.31, B) 3.1, and D) 310 are not correct as they either incorrectly place the decimal point or exaggerate the value by orders of magnitude. The accurate value is 31.

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Answers

Answer:

Step-by-step explanation:

44.5

Answer:

42 units²

Step-by-step explanation:

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Shelila had $4.75 to buy pencils for an art class and each pencil costs 89c. How much pencils will she have?

Answers

Answer:

5 pencils

Step-by-step explanation:

4.75 / 0.89 = 5.33

Since you can't buy 1/3 of a pencil, Shelila can only buy up to 5 pencils

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