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Lilit [14]
3 years ago
11

Gracie can iron 3 shirts in 13 minutes. At this rate, how long will it take her to iron 10 shirts? Which proportion shows how to

solve the problem?
Mathematics
1 answer:
ankoles [38]3 years ago
3 0

Answer:

43 1/3 minutes to iron 10 shirts

Step-by-step explanation:

Number of shirts : Time taken

3 shirts : 13 minutes

10 shirts : x minutes

3 / 13 = 10 / x

Cross product

3 * x = 13 * 10

3x = 130

Divide both sides by 3

3x / 3 = 130 / 3

x = 43 1/3 minutes

x = 43 minutes 20 seconds

It will take 43 minutes 20 seconds to iron 10 shirts

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Answer:

<h2>\frac{(x + 5)(x + 2)}{ {x}^{3} - 9x }</h2>

First option is the correct option.

Step-by-step explanation:

\frac{2x + 5}{ {x}^{2} - 3x }  -  \frac{3x + 5}{ {x}^{3} - 9x }  -  \frac{x + 1}{ {x}^{2} - 9 }

Factor out X from the expression

\frac{2x + 5}{x(x - 3)}  -  \frac{3x + 5}{x( {x}^{2}  - 9)}  -  \frac{x + 1}{ {x}^{2}  - 9}

Using {a}^{2}  -  {b}^{2}  = (a - b)(a + b) , factor the expression

\frac{2x + 5}{x(x - 3)}  -  \frac{3x + 5}{x(x - 3)(x + 3) }  -  \frac{x + 1}{(x - 3)(x + 3)}

Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )

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Multiply the parentheses

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When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

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Using {a}^{2}  -  {b}^{2}  = (a + b)(a - b) , simplify the product

\frac{2 {x}^{2}  + 5x + 6x + 15 - 3x - 5 -  {x}^{2}  - x}{x( {x}^{2}  - 9)}

Collect like terms

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Subtract the numbers

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Distribute x through the parentheses

\frac{ {x}^{2}  + 7x + 10}{ {x}^{3}  - 9x}

Write 7x as a sum

\frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x }

Factor out X from the expression

\frac{x(x + 5) + 2x + 10}{ {x}^{3}  - 9x}

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Factor out x + 5 from the expression

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Hope this helps...

Best regards!!

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