14/x+3-1=5/x+1 solve for x

Mathematics

1 answer:

Ierofanga [76]3 years ago

7 0

The correct answer is: X=9

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$\rm{\green{Answer \: is:-}}$

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Step-by-step explanation:

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*Write An inequality then solve for the width.* The length of a rectangle is 12 more than its width. what values of the width wi

Sonbull [250]

Let $x$ be the width of the rectangle, so the length will be $12+x$ .
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula: $P=2(w+l)$
where
$P$ is the perimeter
$w$ is the width
$l$ is the length

We know that $w=x$ and $l=12+x$ , so lets replace those values in our formula:
$P=2(x+12+x)$
$P=2(2x+12)$
$P=4x+24$

We want <span>values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:
</span> $4x+24\ \textless \ 96$
$4x\ \textless \ 72$
$x\ \textless \ \frac{72}{4}$
$x\ \textless \ 18$
<span>
Since the width can't be zero, we can conclude that the values </span>of the width that will make the perimeter less than 96 feet are: $0\ \textless \ x\ \textless \ 18$ or in interval notation: (0,18)