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3 years ago

3(x - 5) = 15 Unknown variable

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

3 0

Answer: x = 20/3 = 6.667

Step-by-step explanation:

Solve : 3x-20 = 0

Add 20 to both sides of the equation :

3x = 20

Divide both sides of the equation by 3:

x = 20/3 = 6.667

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The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is $l$ by $h$ , the width of the strip of floor is $w$ .

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

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$l= 32-2w$

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Therefore,

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We expand this equation and get:

$4w^2-102w+608=420\\\\4w^2-102w+188=0$

using the quadratic equation we get two solutions:

$w=2\\w=23.5$

since the second solution, namely $w=23.5$ , is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take $w=2$ to be our solution.