First find all of the factors of 7 and 4:
7: 1, 7
4: 1, 2, 4
They don't have any other factors except for 1.
So the greatest common factor of 7 and 4 is 1.
Hope this helps :)
Step-by-step explanation:
working together, Sasha and Lorenzo can wash the dishes and 18 minutes. Washing the dishes alone, it will take Sasha 15 minutes more than the amount of time it would take Lorenzo to wash the dishes alone. How long will it take Lorenzo to wash the dishes alone?
Sasha finishes the job alone in 18+15=33 minutes
L = time it takes Lorenzo alone
S = time it takes Sasha alone
Every minute,
Lorenzo will finish 1/L of the job
Sasha will finish 1/S of the job = 1/33
Together, they will finish 1/S+1/L of the job.
We know that it takes them 18 minutes to finish the job together, so we have
1/L + 1/S = 1/18
1/L + 1/33 = 1/18
1/L = 1/18 - 1/33 = 5/198
So
L = 198/5 = 39 3/5 minutes = 39.6 minutes
Answer: it will take Lorenzo 39.6 minutes to finish the dish-washing.
<h3>
Answer: 2z^3</h3>
====================================================
Explanation:
The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.
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For the variable portions, we can
- write z^5 as z^3*z^2
- write z^4 as z^3*z^1
- write z^3 as z^3*1
Each time we see z^3 show up, so this is the largest common factor among the three variable terms.
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The two results we got were 2 and z^3
Putting the two results together, we end up with the overall GCF of 2z^3
The volume is V=LxWxH. The length x Width is just the area, A, of the bottom (also of the top) So you could also write V=AxH, that is volume is
area x height. Since we know V equals 972 and A equals 81 we can solve for H:
V=AxH
972=81H
972/81=H
H=12cm
Answer:
x = 
Step-by-step explanation:
5x + 2(x + 1) = 4
5x + 2x + 2 = 4 (here we got rid of the parenthesis)
7x + 2 = 4 (here we summed both of our x values)
7x = 4 - 2 (here we took #2 to the other side of the equation)
7x = 2 (we subtracted 4 - 2)
x = 2 / 7
x =
Hope it helped,
BiologiaMagister
