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elixir [45]
3 years ago
14

30w^3 -6w --------------- 6w

Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0
\frac{30w^3-6w}{6w} = \frac{6w(5w^2-1)}{6w}  =5w^2-1
OLga [1]3 years ago
6 0
First simplify the numerator by dividing by the greatest common factor 3w^3-6w= 6w(5w^2-1) _________________________ 6w the 6w can be divided in the numerator and denominator and cancel out= 5w^2-1 hope this helps
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Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao work
Sergio039 [100]
1) we calculate the portion of pool cleaned by Anita in a hour.
1 pool cleaned-----------------8 hour
x-----------------------------------1 hour

x=(1 pool cleaned * 1 hour) / 8 hour=1/8 portion cleaned.

2) we calculate the portion of pool cleaned by Chao  in a hour.
1 pool cleaned-----------------6 hour
x-----------------------------------1 hour

x=(1 pool cleaned * 1 hour) / 6 hour=1/6 portion cleaned.

3) we can suggest this equation:
x=number of hour

x(1/8+1/6)=1

(number of hour)*(portion of pool cleaned by Anita in a hour + portion of pool cleaned by Chao in a hour)=1 pool cleaned.

4) we solve this equation:
x(1/8 + 1/6 )=1

1/8+1/6=(3+4)/24=7/24
least common multiple (8,6)=24

x(7/24)=1
x=(1*24)/7
x=24/7≈3.43     (3 hours,  25 minutes, 43 seconds)

Answer:together they cleaned the pool in 3 hours, 25 minutes and 43 seconds. 


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