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
There are three concerts at lakeside one has 953 as attendance and the other 2 have 1100 as the attendance what is the average o
Vilka [71]
You have to add all three concerts 953+1100+1100 =3,163
And the answer you have divided by 3
The average of people at the concerts were 1,054
3 0
3 years ago
Ft?
VARVARA [1.3K]

Answer:

15 5/8 ft^3

Step-by-step explanation:

Volume of a cube = l x b x h

Given the Length of sides is

2 1/2

Change 2 1/2 to an improper fraction.

It becomes 5/2

Volume = 5/2 x 5/2 x 5/2

Multiply through

= 125/8

= 15 5/8 ft^3

5 0
3 years ago
Me. Watson is making 34.6 fluid once's of red paint and 18.6 fluid ounces of yellow paint to make orange paint. How many 3.5- fl
forsale [732]

Answer: She can fill about 15 3.5- fluid once jars.

Step-by-step explanation:

Given:

Quantity of red paint = 34.6 fluid ounces

Quantity of yellow paint = 18.6 fluid ounces

Total quantity of orange color = (Quantity of red paint )+(Quantity of yellow paint )

= (34.6+18.6) fluid ounces

= 53.2 fluid ounces

Number of 3.5- fluid ounce jars she can fill = (Total quantity of orange color) ÷ 3.5

= 53.2÷3.5 = 15 (approx)

Hence, She can fill about 15 3.5- fluid once jars.

7 0
3 years ago
How do I solve this?​
ziro4ka [17]

Answer:

YZ= 2.8

Step-by-step explanation:

3n+5=8n-9

-3n -3n

5=5n-9

+9. +9

14=5n

14÷5

2.8=n

8 0
3 years ago
Some of the students three scores is 231. If the first is 20 points more than the second, and the sum of the first two is 6 more
Aleks [24]

Answer:

The first score is 109

Step-by-step explanation:

I am assuming that in the first sentence of the question, you meant:

Sum of the students three scores is 231...

First, let the scores of the first second and third student be a, b and c respectively. We are told that:

a + b + c = 231 . . . . . . . .(1)         (sum of students three scores is 231)

a = b + 20 . . . . . . . . . . . (2)        (the first is 20 points more than the second)

a + b = 6c . . . . . . . . . . . .(3)        (sum of the first two is 6 more times the third)

required, find a.

substituting the value of (a + b) in equation (3) into equation (1), we will have the following:

since a + b = 6c . . . (3)

a + b + c = 231 . . . . . (1), becomes,

(a + b) + c = 231

(6c)  + c = 231

7c = 231 (divide both sides by 7)

c = 231 ÷ 7 = 33

∴ c = 33

Next, from equation (2), we know that a = b + 20; this can also be written as:

a - 20 = b

∴ b = a - 20 . . . . . . . (4)

Finally, putting the value of b in equation (4) and the value of c calculated above into equation 1, ( a + b + c = 231), we have the following:

a + (a - 20) + 33 = 231

(a + a) - 20 + 33 = 231

2a + 13 = 231

2a = 231 - 13 = 218

a = 218 ÷ 2 = 109

∴ a = 109

we can also calculate for 'b' by substituting for the value of 'a' in equation 4

b = a - 20 = 109 - 20 = 89.

and to test if the values of a, b and c are correct:

a + b + c = 231

109 + 89 + 33 = 231

4 0
3 years ago
Other questions:
  • What is 76.8/100 in grading. For instance is it an A,B,C,D,E etc.
    6·2 answers
  • After seeing this video, another dog owner trained his dog, Lightning, to try to break Tillman’s skateboarding record.
    11·1 answer
  • if ama has discount of 5% for cash payment .how much discount will be allowed on bill of 56000.00 for cash payment.
    9·1 answer
  • Find the length of side x in simplest radical form with a rational denominator.
    9·1 answer
  • Hiii please help i’ll give brainliest if you give a correct please please thank youuuuu
    12·1 answer
  • Systems of equations with different slopes and different y-intercepts have one solution?​
    9·1 answer
  • I need helpppppp.....
    9·1 answer
  • Can some help me with this problem
    5·2 answers
  • Helppppppppppppppppp​
    8·1 answer
  • 15
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!