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kozerog [31]
2 years ago
14

Alison has three times as many dimes as quarters in her purse. She has $9.35 altogether. How many coins of each type does she ha

ve?
Mathematics
1 answer:
azamat2 years ago
5 0
<h3>Answers:  17 quarters and 51 dimes</h3>

========================================================

Work Shown:

x = number of quarters

3x = number of dimes

0.25x = value of just the quarters, in dollars

0.10(3x) = 0.30x = value of just the dimes, in dollars

0.25x+0.30x = 0.55x = total value in dollars

0.55x = 9.35

x = (9.35)/(0.55)

x = 17

Alison has <u>17 quarters</u> and 3x = 3*17 = <u>51 dimes</u>

17 quarters = 17*0.25 = $4.25

51 dimes = 51*0.10 = $5.10

17 quarters + 51 dimes = $4.25 + $5.10 = $9.35

The answers are confirmed.

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Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

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Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

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                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

                   b = 4

5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

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                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

3 0
3 years ago
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Answer:

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3 years ago
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Rudiy27

Answer:

3/24 = 7/x

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Step-by-step explanation:

A percent proportion is just basically a ratio, I could also write this as         3:24 = 7:x, it really doesn't matter. What does matter is that this is considered a percent proportion. Now, to solve a percent proportion, we have this formula.

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Say b is the unknown value, we would do (a*d)/c, say a was the unknown value, we would do (b*c)/d, Basically, A and D are linked together and B and C are linked together so you take the two values that are linked together first, multiply them together, and divide by the pair that has a partner that is unknown.

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Step-by-step explanation:

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