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zlopas [31]
3 years ago
15

18.

Mathematics
1 answer:
Katena32 [7]3 years ago
5 0

Answer:

y = 10

Step-by-step explanation:

y= 2x + 1 \\  x = 5 \:  \\ substitude \: 5 \: to \: the \: value \: of \: x \\ y = 5 \times 2 + 1 = 10 \\

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5x + 3y = -6

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Aaron and Rachel can clear the weeds out of their vegetable garden in 2 hours if they work together. If Aaron works alone, it wi
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Answer:

c. 10/3 hours

Step-by-step explanation:

Let's make a table.  

Names:| Times completed in:|  Field Space Covered:| Rate the field was                                                                                                                                                                  .                                                                                                  covered:

Aaron   |       5 hours               |           1  field                 |  1/5 field space/hour

Rachel  |      x   hours              |           1   field                |   1/x field space/hour

Together|       2 hours             |           1   field               |    1/2 field space/hour

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\frac{1}{5}+\frac{1}{x}=\frac{1}{2}

Clear fractions by multiplying both sides by 5 \cdot 2 \cdot x=10x on both sides:

10x \cdot \frac{1}{5}+10x \cdot \frac{1}{x}=10x \cdot \frac{1}{2}

2x+10=5x

Subtract 2x on both sides:

10=3x

Divide both sides by 3:

\frac{10}{3}=

x represented the amount of time it took Rachel alone to cover 1 field.

10/3 hours is the answer.

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3 years ago
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