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3 years ago

5

Diana is painting statues.She has 7/8 of a gallon remaining.Each statue requires 1/16 of a gallon of paint. How many statues can

she paint?

1 answer:

Irina-Kira [14]3 years ago

3 0

The answer for the problem is 7/2

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$\\ \sf\longmapsto \dfrac{1}{x-1}>4$

Multiply x-1 on both sides

$\\ \sf\longmapsto \dfrac{1}{x-1}\times (x-1)> 4(x-1)$

$\\ \sf\longmapsto 1>4(x-1)$

$\\ \sf\longmapsto 1> 4x-4$

Add 4 on both sides

$\\ \sf\longmapsto 1+4> 4x$

$\\ \sf\longmapsto 5> 4x$

Divide both sides by 4

$\\ \sf\longmapsto \dfrac{5}{4}>x$

$\\ \sf\longmapsto x< \dfrac{5}{4}$

Now

ATQ to the equation $\bf \dfrac{1}{x-1}$ x should be greater than 1 .Because if it becomes 1 then the denominator will be 0 which is impossible.

Hence x>1

Thus

$\\ \sf{:}\!\implies 1$

Now

$\\ \therefore\boxed{\bf x\epsilon \left(1,\dfrac{5}{4}\right)}$

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