A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

A. 0.10q+0.25d=2.85
q+d=18

B. 0.10q+0.25d=18
q+d=2.85

C. 0.25q+0.10d=2.85
q+d=18

D. 0.25q+0.10d=18
q+d=2.85

Answers

Answer 1

Answer: A. 0.10q+0.25d=2.85

q+d=18

Step-by-step explanation:

Answer 2

The system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag is q+d=18 and 0.25q+0.10d=2.85.

Given that, a bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85.

We need to find which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag.

What is the system of equations?

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

The number of quarters, q, and the number of dimes, d, in the bag.

Now, the number of quarters + the number of dimes=18

⇒q+d=18

The total value of the coins is $2.85.

So, 0.25q+0.10d=2.85

Therefore, the system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag is q+d=18 and 0.25q+0.10d=2.85.

To learn more about the system of equations visit:

https://brainly.com/question/21620502.

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Related Questions

Match the Mixed Number to the Improper Fraction

Answers

Answer:

15/4=3 3/4

21/4= 5 1/4

5/4= 1 1/4

28/4=7

Step-by-step explanation:

Divide the numerator by denominator: 15/4=3 r3

After that, use 3 as the whole number part. The remainder goes the the mixed number's numerator. The Divisor is now the denominator.

Use this method for others

15/4 = 3 3/4
21/4 = 5 1/4
5/4 = 1 1/
28/4 = 7


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Answer:

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answer:

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Answers

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Answer:

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Step-by-step explanation:

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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:

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Step-by-step explanation:

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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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Answers

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Answer:

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Answers

Answer:

Step-by-step explanation:

I am going to solve solve your inequality step-by-step.

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Answers

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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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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

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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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Answers

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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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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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