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Taya2010 [7]
3 years ago
14

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

ll take him 5 hours. How long long it take Rachel if she works alone?
a. 3 hours
b. 7 hours
c. 10/3 hours
d. none of these​
Mathematics
1 answer:
GuDViN [60]3 years ago
4 0

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

The 1 field represents that they covered the whole field.

The rate is found by dividing field space covered by amount of hours it took for them to cover it.

There rates individually should add up to the "together" rate.

\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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If LM = 7 and LN 7 and LN = 18, what is MN?​
Lena [83]

Answer:

There are two possible values: MN=5 or MN=19

Step-by-step explanation:

The points L and N are collinear, so we can visualize them on a right line as in Figure 1.  

First suppose that M is between L and N as in Figure 2. Then we can compute the distance between L and N as LN=LM+MN. Substracting LM from both sides, we obtain that MN=LN-LM=12-7=5.

For the other possibility, suppose that M is not between L and N as in Figure 3. Because LM<LN, it's impossible that M is located further to the right than N. Then M isn't at the right of L. Therefore, M is at the left of L, so L is between M and N, so the distance between M and N is given by MN=ML+LN=LM+LN=7+12=19.

--------------------------------------------------------------------------------------------------------------

I hope this helps

6 0
2 years ago
What is-simplify 3ab x 2ac x 5b?
Pie
Being simplified the answer is 30a^2b^3x^2.
7 0
3 years ago
Find the ratio a:b, if 2a−b/6 = b/3
Tom [10]

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

7 0
4 years ago
Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards
Art [367]

Answer:

11

Step-by-step explanation:

you just divide it

6 0
3 years ago
Read 2 more answers
Which planet is an inner planet, and which one is an outer planet? Explain your answer.
Paraphin [41]

Answer:

Planet A is an outer planet, and planet B is an inner planet. Inner planets rotate slowly, so they take more time to complete a rotation. Outer planets rotate faster, so they take less time to complete a rotation.

your welcome !!!

5 0
3 years ago
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