Answer:you
Step-by-step explanation:
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: Choice A
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Explanation:
One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.
Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
However, we can rule out choice D since the inequality
would have the boundary line
, and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.
Answer:
(x, y) -> (-x,-y)
180
Step-by-step explanation:
Answer:
-8
Step-by-step explanation: since it says Times, (for me times is multiplication) you would multiply -2 and 4. negative 2 would be from that person losing 2 points. and 4 since it is your total amount of times you have forgotten to write your name. so, -2 x 4 = -8.
how i got -8. both signs from -2 and 4 are different, and when they are different the answer will always be negative.