1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8_murik_8 [283]
3 years ago
11

One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 20 hours. How long will it take the pipe to

fill the pool if the drain is left open?
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0
<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>
You might be interested in
AC = 64,<br> AB = 7x + 8, and<br> BC = 3x + 6,<br> Find BC.
iVinArrow [24]

Answer:

21

Step-by-step explanation:

  • AC = 64
  • AB = 7x + 8
  • BC = 3x + 6

<u>Since AC = AB + BC</u>

  • 7x + 8 + 3x + 6 = 64
  • 10x + 14 = 64
  • 10x = 50
  • x = 50/10
  • x = 5

------------------

BC = 3x + 6 = 3*5 + 6 = 21

6 0
3 years ago
julia spends 2.25 on gas for her lawn mower.she earns 15.00 mowing her neighbors yard.what is julias profit?
Eduardwww [97]
This one is easy all you have to do is subtract the 2.25 by the 15 to get 12.75.
8 0
3 years ago
Read 2 more answers
Use linear regression to find the equation of the line that best fits the data. Predict the average retail price of a car that i
Dafna11 [192]

Answer:

never

Step-by-step explanation:

if it still works then it is not worthless if its super old then it can be a collectors item

5 0
3 years ago
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some
velikii [3]

Answer:

Step-by-step explanation:

Frequency table for the height of the seedlings,

Height (in inches)        Number of seedlings

          \frac{1}{2}                                      2              

          \frac{3}{4}                                      4

          \frac{5}{8}                                      2

          \frac{7}{8}                                      2

Now we can draw the line plot as attached.

Average height of the seedlings = \frac{2(\frac{1}{2})+4(\frac{3}{4})+2(\frac{5}{8})+2(\frac{7}{8})}{2+4+2+2}

                                                      = \frac{1+3+1.25+1.75}{10}

                                                      = \frac{7}{10}

3 0
2 years ago
Pls answer this i need help
Vitek1552 [10]

Step-by-step explanation:

your don't see what went wrong ?

Tyrell worked on

16 - 2(4 + 3x)

what do brackets mean ? they mean that this operation has to be done before everything else in the expression.

as this contains a variable, we cannot fully calculate it, true, but we need to keep this in mind and always treat the content of the brackets as one package.

so, whatever I do from the outside with one part of that package, I have to do also with all the other parts of that package.

so, the multiplication with -2 has to happen with both : 4 and 3x. not just with 4.

therefore, the correct simplification looks like

16 - 8 - 6x

8 - 6x or -6x + 8

Amelia multiplied correctly, but then made a mistake summing things up

10x - 3(4x + 1)

10x - 12x - 3

10x - 12x = -2x

I can't mix the pure constant -3 into the factors of x. that would be like the famous mixing of apples and oranges.

so, the result is

-2x - 3

6 0
2 years ago
Other questions:
  • How to you calculate the area of regular octagon? ​
    5·1 answer
  • when two fractions refer to the same whole and have the same denominators, explain why you can compare only the numerators
    10·2 answers
  • What is the point slope point form of the line with slope -3/7 that passes through the point (5,8)
    15·1 answer
  • Find the area of a triangle whose vertices have the coordinates (-1,1) (-1,5) (4,1)
    5·1 answer
  • Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the n
    13·1 answer
  • Add the two expressions. 2n−3 and −7n+2
    15·2 answers
  • The temperature outside dropped 13 degrees Fahrenheit in 7 hours. The final temperature was -2 degrees Fahrenheit. What was the
    12·1 answer
  • How to show steps of distributive property with 8 * 34
    10·1 answer
  • If these two shapes are similar, what is the measure of the missing length z?
    6·1 answer
  • There are 24 skittles in a bowl and 75% of them are red. How many skittles are red?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!