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Semenov [28]
3 years ago
6

Kevin is twice as old as his sister Amy their father is five times as old as Amy if the sum of the ages is 64 how old is Amy

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

8 years old

Step-by-step explanation:

Set Amy's age as x.

Kevin's age will be 2x, since he is two times as old as Amy.

Father's age will be 5x, since he is five times as old as Amy.

x + 2x + 5x = Sum of the ages = 64

x + 2x + 5x = 64

Combine like terms: 8x = 64.

Divide 8 on both sides: x = 8.

Amy's age = 8.

Hope this helps!

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The equation in standard form is:

Rx+Py = -PR

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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  • b is the y-intercept

Given

The y-intercept (0, -R)

The x-intercept (−P, 0)

Finding the slope between (0, -R) and  (−P, 0)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:-R\right),\:\left(x_2,\:y_2\right)=\left(-P,\:0\right)

m=\frac{0-\left(-R\right)}{-P-0}

m=-\frac{R}{P}

Thus, the slope between (0, -R) and  (−P, 0) is:

m=-\frac{R}{P}

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We are given the y-intercept point (0, −R).

Thus, y-intercept b = -R

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y = mx+b

y=-\frac{R}{P}x\:+\:\left(-R\right)

y=-\frac{R}{P}x\:-R

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y=-\frac{R}{P}x\:-R

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As we know that the equation in the standard form is

Ax+By=C

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As

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so converting into standard form

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Py = -Rx - PR

Add -Rx to both sides

Rx+Py = -Rx - PR + -Rx

Rx+Py = -PR

Therefore, the equation in standard form is:

Rx+Py = -PR

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