Based on the problem Carl will complete...
1/6 of the job per minute.
Fred will complete 1/8 of the job per minute.
Together they will complete... 1/6+1/8 of the job per minute.
That would be 7/24.
How long will that take?
1/(7/24)=24/7=3 3/7
It will take 3 and 3/7 minutes to finish washing the car.
8 x 5 = 32 is the expression. Since Sergei caught 4 striped fish that all weigh the same, we know that we can multiple the weight of one fish by the amount of fish he caught.
Since he also caught another fish that would make the total of fish 5.
3/12
5/12
9/24 or aka 3/8
7/24
13/36
11/36
So first we write out their respective charges
A=65+30x (x=hours of A)
B=30+47.5y (x= hours of B)
we want to know when A and B are equal so just set them to be equal
65+30x=30+47.5x
subtract 30 from both sides
35+30x=47.5x
multiplyboth sides by 2 to get rid of the nasty decimal
70+60x=95x
subtract 60x from both sides
70=35x
divide both sides by 35
2=x
they must work 2 hours for them to be equal
❀ 
To solve, use the algebraic identity ➺
- <u>(x + a)( x + b) = x² + (a + b)x + ab</u>
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