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loris [4]
3 years ago
8

Sasha has 3.20 in U.S. coins. She has the same number of quarters and nickels. What is the greatest number of quarters she could

have?
Mathematics
2 answers:
RSB [31]3 years ago
8 0

Answer:

10 quarters = $2.50

10 nickels = $0.50

that leaves $0.20 for other coins (dimes / pennies)

Step-by-step explanation:

First, suppose she has only quarters and nickels and no other coins.  Then if C is the identical number of coins of each type, then 5C + 25C = 320, so 30C = 320 and 3C = 32, but there is no integer solution to this.  So she must have at least one other type of coin.

Assume she has only quarters, nickels, and dimes.  Then if D is the number of dimes, 5C +  25C + 10D = 320, which means 30C + 10D = 320, or 3C + D = 32.  The smallest D can be is 2, leaving 3C = 30 and thus C = 10.  So in this scenario she would have 10 quarters, 10 nickels, and two dimes to make $2.50 + $0.50 + $0.20 = $3.20.

This has to be the highest number, because if she had 11 quarters and 11 nickels, that alone would add up to 11(0.25) + 11(0.05) = $3.30, which would already be too much.

Nataly_w [17]3 years ago
3 0

Answer:

2.50 coins

Step-by-step explanation:

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I think that should answer yor question.


8 0
3 years ago
Two classmates got together over the weekend to do their assigned History reading. Savannah can read 1 page per minute, while Li
Gemiola [76]

Answer:

The had read the books for 12 minutes.

Step-by-step explanation:

Let the number of minutes be x.

Tess = 51 + 1x

Ronald = 15 + 4x

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51 + 1x = 15 + 4x

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5 0
3 years ago
What is the slope of the line that passes through the points (– 6, 2) and (22, 16)?
Igoryamba

Answer:

y = 1/2x + 5

Step-by-step explanation:

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5 0
3 years ago
The center of circle q has coordinates (-2, 1). if circle q passes through r (6, 7), what is the length of its diameter?
Oksana_A [137]
<h2>Diameter of a Circle</h2>

There are multiple strategies we can use to find the diameter of a circle. For this question, we must calculate the length of the radius first and multiply by 2 to find the diameter.

<h2>Solving the Question</h2>

We're given the centre and a point on the circumference: (-2,1),(6,7).

Find the distance between them using the distance equation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plug in the given points:

d=\sqrt{(-2-x_1)^2+(1-y_1)^2}\\d=\sqrt{(-2-6)^2+(1-7)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10

Therefore, the radius of the circle is 10 units.

Multiply the radius by 2 to find the length of the diameter:

10 × 2

= 20

Therefore, the length of the diameter is 20 units.

<h2>Answer</h2>

20 units

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Answer:

C: investigation

Step-by-step explanation:

Based on empirical data, experiment and logical rational reasoning...

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3 years ago
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