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Nitella [24]
3 years ago
5

an employee of a car wash earns $12 for each car she washes. she always savs $50 of her weekly earnings. this week, she wants to

have at least $100 in spending money. what is the fewest number of cars she must wash?
Mathematics
1 answer:
Nitella [24]3 years ago
8 0

at least 13 cars to be washed

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Y is directly related to x and y is 81 when x is 27 the constant of.variation is
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Answer:

k = 3

Step-by-step explanation:

Given that y and x are directly related then the equation relating them is

y = kx ←  k is the constant of variation

To find k use the condition y = 81 when x = 27

k = \frac{y}{x} = \frac{81}{27} = 3

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Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s hou
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The formula for midpoint is

(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown

^^^Plug in these number into the formula given above...

(\frac{3+x}{2}, \frac{-2 + y}{2})

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation (\frac{3+x}{2}) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

\frac{3+x}{2} = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

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To find what y is (a coordinate of Preston's house) you must take the  y-value part of the midpoint equation(\frac{-2 + y}{2}) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

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The coordinate of Preston's house is:

(-13, 8)

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