A pool i being drained by a pump at a rate of 4 gallon per minute. An identical pump wa added to help drain the pool. How doe the econd pump affect the rate of drainage?

Answers

Answer 1

A pool is being drained by a pump at a rate of 4 gallon per minute, then the second pump affect the rate of drainage = 8 minutes

For two identical pumps in parallel the flow rate doubles compared to single pump,

Single pump flow rate = 4 gallons per minute

When two pump act at same time, drain rate will be double,

Drain rate = 8 gallons per minute

The first pump can drain in 8 minutes, therefore:

Rate of the first pump = 1/8

Working together, they can drain the pool in 4 minutes, therefore:

Rate of both pumps = 1/4

Let the time taken by the second pump =t

Rate of the second pump = 1/t.

So,

We can write,

[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{t}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{t}[/tex] = [tex]\frac{1}{4} -\frac{1}{8}[/tex]

[tex]\frac{1}{t}[/tex] = [tex]\frac{2-1}{8}[/tex]

[tex]\frac{1}{t}[/tex] = [tex]\frac{1}{8}[/tex]

t = 8 minutes

Therefore,

A pool is being drained by a pump at a rate of 4 gallon per minute, then the second pump affect the rate of drainage = 8 minutes

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Related Questions

Find the mean then the mean absolute deviation (MAD) of the following data set Round your answer to two decimal places if necessary
3, 1, 5, 4, 8,6

Answers

Rounded answers (are in parentheses )
Mean-4.5 (5)
Median-4.4 (5)
Mode-3,1,5,4,8,6
Range-7
(MAD)-1.83 (rounded 2)

direction: find the quotiend​

Answers

Answer:

broo this is easy check the comments the on yo tail

Step-by-step explanation:

Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From

Answers

Answer:

41.5

Step-by-step explanation:

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope

Yep here we go again:

In the diagram below, the red angle angle YAK and the blue angle angle OAT are both right angles. If angle YAO=23 then what is the measure of angle KAT

If you don't know the answer or not sure, please don't answer it!
Whoever answers it correctly gets brainliest!!

Answers

Answer:

23 degrees

Step-by-step explanation:

90+23-90=23

9514 1404 393

Answer:

  23°

Step-by-step explanation:

Both angles YAO and KAT are complementary to angle OAK, so are congruent.

  ∠YAO = ∠KAT = 23°

Find the product.
5
----
8

of

2
----
4

Answers

Answer:

5/16

Step-by-step explanation:

10/32=5/16

Last year, Diane opened an investment account with S6400. At the end of the year, the amount in the account had increased by 26%.
(a) Fill in the blank to write the year-end amount in terms of the original amount. Write
your answer as a decimal.
Year-end amount =. XOriginal amount
(1) Use your answer in part (ə) to determine the year-end amount in Diane's account
Year-end amount: $

Answers

Answer:

Your answer is.....

8064$

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Find the slope when given (2,3) (3,5) plz

Answers

(y2-y1)/(x2-x1)
=(5-3)/(3-2)
=2/1
=2

so the slope is 2
hope this helps !
Answer:

The slope is 2.

What do you notice about the equation y=12?

Answers

Answer:

X=0

Step-by-step explanation:

If you look at the graph and follow, the x axis to match up with y=12, then you will see that x is 0

Answer:

M=0

Step-by-step explanation:

I got it right on I-Ready and because there is no change in y

A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 16.5% and 25.5% of the residents supports the plan. What is the margin of error on the survey? Do not write \pm± on the margin of error.

Answers

Answer:

9

Step-by-step explanation:

The confidence interval is related to margin of error ; according to the relation :

Confidence interval = mean ± margin of error

Margin of Error = (upper boundary value - lower boundary value)

Confidence interval = 16.5% and 25.5%

Margin of Error = (25.5% - 16.5%)

Margin of Error = ±9

The margin of error on the survey is 9.

We know that

Confidence interval = mean ± margin of error

And,

Margin of Error = (upper boundary value - lower boundary value)

We have Confidence interval between 16.5% and 25.5%.

upper boundary value = 25.5%

lower boundary value = 16.5%

So, Margin of Error

= 25.5% - 16.5%

=9

Therefore, Margin of Error is 9.

Lean more:https://brainly.com/question/14396648

help me please will mark you brainliests ​

Answers

Answer:

tommorow what time exam you have you help me with answers iil help you back

Step-by-step explanation:

your answer is 180-2x hope it helps u

If the temperature outside is 60 degrees at 6 pm and then drops by 15% at 10 pm, what is the temperature at 10 pm?

Answers

Answer:

51 degrees

Step-by-step explanation:=Given data

Temperature at 6pm = 60 degrees

percent drop= 15%

= 15/100*60

=0.15*60

=9 degrees

Hence the temperature at 10 pm is 60-9= 51 degrees

ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.

Answers

Answer:

third angle =180-two congruent angles. is expression.

I don’t really understand could you help

Answers

Answer:

M: (-7, -3)

A: (0, -3)

T: (0, -8)

Step-by-step explanation:

each of the points are associated with a letter. you can find the points by looking at the points it matches up with in the formatting of (x,y)

for example, for M, you can see that the dot on the x axis seems to be hovering below -7, on the y axis, it seems to be hovering next to -3. therefore, its (-7,-3)

Add. (15w - 6x) and (6x + 20w)​

Answers

Answer:

35w

Step-by-step explanation:

15w-6x+6x+20w

collect like terms

15w+20w-6x+6x

=35w

Evaluate the expression when a=3 and b=-6.
-a +6b

Answers

Answer:

Step-by-step explanation:

-a + 6b = -3 + 6 * (-6) = -3 - 36 = -39

Substitute the values in:

-a + 6b

-(3) + 6(-6)

-3 + (-36)

= -39

What is the domain of the function graphed below?

Answers

Answer:

Positive infinite to negative infinite

Step-by-step explanation:

Please help me with this

Answers

Answer:

1/5

Step-by-step explanation:

Hi there!

To find the answer, use inverse operations to solve.

Multiply 7/15 by 3/7 to isolate the unknown number.

7/15 * 3/7 is equal to 0.2, which can be simplified into fraction form as 1/5.

I hope this helps!

:)

Expand and combine like terms.
(765 – 46)(765 + 46)

Answers

Answer:

587,341

Step-by-step explanation:

(I'm hoping this is what you mean by expand)

(765 – 46)(765 + 46)

First, multiply 765 by 765 = 585,225

Second, multiply 765 by 46 = 35,190

Third, multiply -46 by 765 = -35,190

Fourth, multiply -46 by 46 = -2,116

The second and third answers (35,190 and -35, 190) will cancel each other out. Then, just subtract -2,116 from 585,225.

585,225 - (-2,116) = 585,225 + 2,116 = 587,341

El perímetro de un rombo es igual al de un pentagono regular más 9, y la medida del lado del rombo es el doble de lo que mide un lado del pentagono. ¿Cuánto miden los lados de cada figura?

Answers

Answer:

Rombo es 6

Pentágono es 3

Step-by-step explanation:

Formula del perímetro de un rhombus es 4a

Formula del perímetro de un pentágono es 5b

La pregunta dice

4a = 5b + 9

Otra vez, la pregunta dice la medida del lado del rombo es el doble de lo que mide un lado del pentagono. Entonces,

a = 2b

Si

4a = 5b + 9 y

a = 2b, entonces que

4(2b) = 5b + 9

8b = 5b + 9

8b - 5b = 9

3b = 9

b = 9/3

b = 3

si, b = 3, tan

a = 2(3)

a = 6

Entonces, la medida del lado del rombo es 6 y la medida del lado del pentágono es 3

If the Federal Reserve buys $40,000 in Treasury bonds from a bank at 6%
interest, what is the immediate effect on the money supply?
A. It is decreased by $40,000
B. It is increased by $40,000
C. It is decreased by $2400
D.it is increased by $2400

Answers

Answer:

The answer would be it would increase by 40,000

The answer would be B it is increased by 40,000

find the value for x and y (no decimals

Answers

Answer:

x=6

y=3r3

Step-by-step explanation:

[tex]\frac{x}{sin90} =\frac{x}{sin60} =\frac{3}{sin3}\\x=6\\y=3\sqrt{3}=3r3[/tex]

in parallelogram
abcd if b=50 find the other angles​

Answers

Answer:

a is 130 c is 50 and d is 130 opposite angles are equal and corresponding angles sum equals 180

The area of triangle ABC is?

Answers

Answer:

[tex] A(\triangle ABC) =17.5 \: {units}^{2} [/tex]

Step-by-step explanation:

AB = 4 - (-3) = 4 + 3 = 7 units

BC = 3 - (-2) = 3 + 2 = 5 units

[tex]A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\ \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\ \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\ \\ A(\triangle ABC) =17.5 \: {units}^{2} [/tex]

HELP PELASE ASAPppppp

Answers

Answer:

(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]

(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]

(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]

Step-by-step explanation:

All right triangles are similar

When two triangles are similar then the ratio  of their corresponding sides are equal.

Using the property

[tex]\triangle ABC\sim \triangle DBA[/tex]

[tex]\frac{BC}{AB}=\frac{AB}{BD}[/tex]

[tex]\frac{e}{c}=\frac{c}{f}[/tex]

[tex]\triangle ACD\sim\triangle BAD[/tex]

[tex]\frac{CD}{AD}=\frac{AD}{BD}[/tex]

[tex]\frac{d}{a}=\frac{a}{f}[/tex]

[tex]\triangle ACD\sim \triangle BCA[/tex]

[tex]\frac{CD}{AC}=\frac{AC}{BC}[/tex]

[tex]\frac{d}{b}=\frac{b}{e}[/tex]

Correct options are

(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]

(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]

(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]

Question 2 (1 point)
Use the vertical line test to determine whether the relation is a function.
{(3,0), (2,-1). (-1,4). (1,-2)
}

Answers

Answer:

The relation is a function.

There were 60 students enrolled in Grade 5 last year. If 66 students are enrolled in the same grade level this year, what is the percentage increase in the number of Students?

Answers

There is a 10% increase

There are 6 more students this year than there were last year.

If you find what 10% of 60 is and add that to 60, you'll find that it'll equal 66.

//

[tex]60 \times 0.10 = 6[/tex]

[tex]10\% \: of \: 60 \: is \: 6[/tex]

[tex]60 + 6 = 66[/tex]

x varies directly with
y. If x = 60 when
y = 75. find x when
y = 32.

Answers

Answer:

x=17

Step-by-step explanation:

Answer:

25.6

Step-by-step explanation:

find constant of variation ('k'):

y = kx

75 = 60k

k = 75/60 or 5/4

32 = 5/4x

cross-multiply:

5x = 128

x = 25.6

what is the distance between 0,4 and -1,-5

Answers

Answer:

y  =  −x + 4

Step-by-step explanation:


Plz help ASAP with the correct answer plz

Answers

Taking over his thoughts is the answer

Answer:

3rd one

Step-by-step explanation:

its an idiom you are welcome

Having trouble solving this:

Answers

Answer:

The answer is 24*(1/5)........

Answer:

the answer is D) 121/500

Step-by-step explanation:

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