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Fynjy0 [20]
4 years ago
12

8. Suppose y varies directly as x. If y = -4 when x = 32, find x when ys -0.​

Mathematics
1 answer:
Nata [24]4 years ago
4 0

Answer:

x=0

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

in this problem

For x=32, y=-4

Find the value of the constant of proportionality k

k=y/x

substitute

k=-\frac{4}{32}

simplify

k=-\frac{1}{8}

so

The linear equation is

y=-\frac{1}{8}x

Find x when the value of y=0

Remember that

In a proportional relationship <u><em>the line passes through the origin</em></u>

so

If y=0

then

the value of x must be equal to zero

therefore

x=0

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Step-by-step explanation:

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How could we know how many camels actually correspond to each brother?

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The question is incomplete without the background information.

Based on the question, It has to do with sharing an inheritance of 35 camels among 3 brothers.

"The man who calculated", by Malba Tahan.

Since the complete question isn't available, we are going to look at the following question to understand how to do the calculation.

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How can an inheritance of 35 camels be divided among three brothers in such a way that the eldest brother gets half of them, the second one gets 1/3 of the total and the youngest brother gets 1/9 of the total camels?

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3rd brother = 1/9 of 35 (gives a fraction)

Since we can't have a camel in fraction except in whole number, we would look for the closest number to 35 that would be divided by 2, 3 and 9 respectively without giving a fraction.

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