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marishachu [46]

3 years ago

6

On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car"s actual length, from bumper to bumper, is

16 feet. On the scale drawing, the height of a window is 3/4\ inch. What is the actual height of this window? Explain or show your reasoning.
thanks

1 answer:

I am Lyosha [343]3 years ago

6 0

Cross multiply and solve for x

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Given:

Consider the equation is

$\dfrac{h^{16}}{h^x}=\dfrac{1}{h^{24}}$

To find:

The value of x.

Solution:

We have,

$\dfrac{h^{-16}}{h^x}=\dfrac{1}{h^{24}}$

Using properties of exponents, we get

$h^{-16-x}=h^{-24}$ $[\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]$

On comparing both sides, we get

$-16-x=-24$

Add 16 on both sides.

$-x=-24+16$

$-x=-8$

Multiply both sides by -1.

$x=8$

Therefore, the value of x is 8.

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