<span>30 hours
For this problem, going to assume that the actual flow rate for both pipes is constant for the entire duration of either filling or emptying the pool. The pipe to fill the pool I'll consider to have a value of 1/12 while the drain that empties the pool will have a value of 1/20. With those values, the equation that expresses how many hour it will take to fill the pool while the drain is open becomes:
X(1/12 - 1/20) = 1
Now solve for X
X(5/60 - 3/60) = 1
X(2/60) = 1
X(1/30) = 1
X/30 = 1
X = 30
To check the answer, let's see how much water would have been added over 30 hours.
30/12 = 2.5
So 2 and a half pools worth of water would have been added. Now how much would be removed?
30/20 = 1.5
And 1 and half pools worth would have been removed. So the amount left in the pool is
2.5 - 1.5 = 1
And that's exactly the amount needed.</span>
Answer:
11
Step-by-step explanation:
the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.
I hope this helps
Answer: (a) 6760000
(b) 5760000
Step-by-step explanation:
Total letters in English alphabet = 26
Total digits = 10
Given: Each automobile license plate number consists of two letters followed by a four-digit.
(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10
= 6760000
(b) if the letters O and I are not used, total letters can be used ]= 26-2=24
Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10
=5760000
Answer:
-3x+12-9x+8=-3(4x-7)
-3x+12-9x+8=-12x+21
-12x+21=-12x+21
21=21
infinitely many solutions
hope this helps
have a good day :)
Step-by-step explanation:
Check the picture below.
make sure your calculator is in Degree mode.
