Answer:

Step-by-step explanation:
<h3>First let's write our equation</h3><h3 /><h3>

</h3><h3 /><h3>Reduce</h3>
<em>Definition - </em><em>reduction refers to the rewriting of an expression into a simpler form</em>
<h3 />
We can reduce
to 
Our equation is now 
Now we can cross multiply
<em>Definition - </em><em>given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.</em>

<h3>Add</h3>
We are adding because we want our variable to be on one side of the equation

<h3>To check we can show our equation but instead of d we have 18</h3><h3 />

Subtract and we get

Which makes it true
<h3><em>Have a good day!</em></h3>
680/17=40. Therefore the height of the rectangle is 40 and the width is 17. so 40+40+17+17= c) 114 feet
Answer:
738
Step-by-step explanation:
The line does not represent a direct variation because it does not go through the origin.
Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.
The polynomial is;. 3w³ + 22w + 24w = 5440ft³.
From the question;
- <em>Let the width = w</em>
- <em>length,</em><em> </em><em>l</em><em> = 3w + 4</em>
- <em>height,</em><em> </em><em>h</em><em> = w + 6</em>
<em>The </em><em>volume </em><em>of </em><em>a </em><em>rectangular</em><em> </em><em>prism </em><em>is </em><em>given </em><em>by </em><em>the </em><em>product </em><em>of </em><em>its </em><em>length,</em><em> </em><em>width </em><em>and </em><em>height.</em><em> </em><em>Thus</em><em>;</em>
Volume = l × w × h
Therefore, Volume, V = (3w +4) × w × (w +6)
To obtain the required polynomial, we expand the expression for Volume above;
<em>V = (3w² + 4w) × (w + 6)</em>
<em>V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.</em>
However, the volume of the rectangular prism has been given to be 5440 cubic feet.
Therefore, the polynomial is;
3w³ + 22w + 24w = 5440ft³.
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