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Answer:
15 days
Step-by-step explanation:
Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.
In 1 day,
- A completes
of all work; - B completes
of all work.
Hence, in 1 day both A and B complete
of all work. A and B working together can do a work in 6 days. Then

Solve this equation:

If
then
that is impossible. So, B needs 15 days to complete the work alone.
32=16x2=2x2x2x2x2=2^5
48=24*2=6x4x2=2x3x2x2x2
Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:
2^4=2x2x2x2=16
The Greatest Common Factor (GCF) of 32 and 48 is 16.
Answer:
C. 1.75
Step-by-step explanation:
7 paved over 4 unpaved
7 divided by 4
1.75
Answer:
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<em>The last option matches the correct solution</em>
Step-by-step explanation:
<u>Equation Solving</u>
We have the following equation:

And it's required to solve it for r.
Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.
It can be done by conveniently operating on both sides as follows:
Eliminate the denominator by multiplying by 3:

Move
to the other side by dividing by
:

Swapping sides to have r at the left side:

Finally, take the cubic root and leave r alone:
![\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
The last option matches the correct solution