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lubasha [3.4K]
2 years ago
6

Brent has a piece of rope that is 6 5/6 feet long. He uses 4 1/3 feet of the rope to hang a tire swing. How much rope does he ha

ve left?
Mathematics
2 answers:
zhannawk [14.2K]2 years ago
5 0
2 2/3 feet of rope left
Katyanochek1 [597]2 years ago
4 0
Double the 1/3 to 2/6 so they have the same denominator.
So, 6 5/6 - 4 2/6 = 2 3/6 feet left.
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Find the simplified quotient. (2x^2 + 5x +3 / x^2 - 3x -4) / (4x^2 + 2x - 6 / x^2 - 8x + 16)
irinina [24]

ANSWER

\frac{x - 4}{2x - 2}

EXPLANATION

The given expression is;

\frac{2 {x}^{2}  + 5x + 3}{ {x}^{2}  - 3x - 4}  \div  \frac{4 {x}^{2}  + 2x - 6}{ {x}^{2}  - 8x + 16}

We factor to obtain;

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \div  \frac{2(x - 1)(2x + 3)}{(x - 4)(x - 4)}

Multiply by the reciprocal of the second fraction

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \times \frac{(x - 4)(x - 4)}{2(x - 1)(2x + 3)}

Cancel out common factors to get,

\frac{1}{1}  \times \frac{(x - 4)}{2(x - 1)}

\frac{x - 4}{2x - 2}

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2 years ago
Read 2 more answers
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mr_godi [17]

0<x<10

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Raleigh went to a gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in food and drinks, and
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Answer:

Kindly check explanation

Step-by-step explanation:

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andriy [413]

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

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Use these factors to split the x- term

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= (3x - 4)(8x - 3) ← in factored form

5 0
2 years ago
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