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ANSWER
Paul and Matt will take
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
Next, calculate Matt's rate, which is,
Let us assume that, Paul and Matt took
to do the work together.
Then, the rate of working together is,
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
Simplify the left hand side
We reciprocate both sides to get (You could have also done cross multiplication).
Paul and Matt will take
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
Next, calculate Matt's rate, which is,
Let us assume that, Paul and Matt took
to do the work together.
Then, the rate of working together is,
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
Simplify the left hand side
We reciprocate both sides to get (You could have also done cross multiplication).
The volume of the rectangular prism:
![60x^3 + 145x^2 + 70x=5x(12x^2+29x+14)\\\\=5x(12x^2+21x+8x+14)=5x[3x(4x+7)+2(4x+7)]\\\\=5x(4x+7)(3x+2)\\\\Answer:\\length=5x\\width=4x+7\\height=3x+2](https://tex.z-dn.net/?f=60x%5E3%20%2B%20145x%5E2%20%2B%2070x%3D5x%2812x%5E2%2B29x%2B14%29%5C%5C%5C%5C%3D5x%2812x%5E2%2B21x%2B8x%2B14%29%3D5x%5B3x%284x%2B7%29%2B2%284x%2B7%29%5D%5C%5C%5C%5C%3D5x%284x%2B7%29%283x%2B2%29%5C%5C%5C%5CAnswer%3A%5C%5Clength%3D5x%5C%5Cwidth%3D4x%2B7%5C%5Cheight%3D3x%2B2)