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3 years ago

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John can type 2/3 of a manuscript in 12 hours. If he is joined by Laura, they can complete the typing in 2 hours. How many hours

would Laura take to type the manuscript working alone?
A. 4.5 hours
B. 2 hours
C. 2.25 hours

2 answers:

Alchen [17]3 years ago

8 0

John will take 18 hours to type the thing by himself. Laura does 8/9 of the work and John does 1/9. Laura can do it alone in 2 hours 15 minutes. which is 2 1/4 hours. So the answer would be C.) 2.25 hours.

hope this helps :)

Sonja [21]3 years ago

6 0

Hello there,

1/18 + 1/x = 1/2
<span>1/x = 9/18 - 1/18 </span>
<span>1/x = 8/18 = 4/9 </span>
<span>x = 9/4 or 2.25
</span>
Glad to help!

-HotTwizzlers

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Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

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$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

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For the second inequality

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First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

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Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

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For the third inequality,

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First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

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iren2701 [21]

Answer:

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