Answer:
this is the correct graph
Answer:
No solution
Step-by-step explanation:
Step 1: Write equation
-6(3 + x) + 2(3x + 5) = 0
Step 2: Solve for <em>x</em>
<u>Distribute:</u> -18 - 6x + 6x + 10 = 0
<u>Combine like terms:</u> -8 ≠ 0
∴ No solution
Let a, b, and c be the times each pump will fill the tank when working alone.
Therefore, in 1 hour;
1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)
From equation (1)
1/a = 5/6-1/b
Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)
Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2
This means, in 1 hour and with all the pumps working together, the tank will be filled to;
1/a+1/b+1/c = 1/2+1/3+1/6 = 1 (filled fully).
Therefore, it will take 1 hour to fill the tank when all pumps are working together.
Answer:
5417/10000
Step-by-step explanation:
Solution for what is .5417 in fraction in simplest form?
.5417 =
.5417:1 =
5417:10000 =
0.5417 in fraction = 5417/10000
I’m pretty sure it’s, D, if not, it’s C, I haven’t done this in a few years so correct me if I’m wrong, but I’m more sure it’s D.