One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours. How long will it take the pipe to fill the pool if the drain is left open?

Answers

Answer 1

Answer:

48 hours

Step-by-step explanation:

So one Pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours.

So let's just say that x is the value for how much the pool was filled, and y is the time taken.

So which means :

X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]

[tex]\frac{1}{12}[/tex] represents the volume of the tank being filled up in one hour while [tex]\frac{1}{16}[/tex] represents the volume of the tank being drained in one hour. By subtracting, we get to know the volume of the tank being filled up in one hour.

So, we solve the equation.

To find X, we make the denominator of the two fractions the same.

X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]

= [tex]\frac{1(4)}{12(4)}y[/tex] - [tex]\frac{1(3)}{16(3)}y[/tex]

= [tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex]

Then, we subtract.

[tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex] = [tex]\frac{1}{48}y[/tex]

[tex]\frac{1}{48}[/tex] is the volume of the pool that is filled in one hour

Finally, we find the time taken for the pipe to fill the pool.

If one hour fills [tex]\frac{1}{48}y[/tex] of the pool, then :

1 = [tex]\frac{1}{48}y[/tex]

y = 48 hours.

So, the time taken for the pipe to fill the pool with the drain left open is 48 hours.

HOPE THIS ANSWER HELPED :)


Related Questions

Plz HURRY!!!
Which multiplication expression can be used to check this division problem: 2/5 divided by 4/15 = 3/2

O 2/5 times 4/15
O 3/2 times 4/15
O 3/2 times 15/4
O 5/2 times 15/4

Answers

Answer:

I'm pretty sure it's B

Step-by-step explanation:

Answer:

3/2 times 4/15

Step-by-step explanation:

In division, the quotient times the divisor equals the dividend. This multiplication can be used to check if the math was correct.

Here's an example:

6 / 3 = 2

6 is the dividend, 3 is the divisor, and 2 is the quotient.

2 times 3 is 6, which proves that the quotient times the divisor is the dividend , and it also means that the quotient was correct.

(This example was used because the numbers are nice and easy, so they are good examples for this kind of thing)

Which of the following statements is true?

The value π is a rational number.
The number 0 is a natural number.
The number 1/2 is an integer.
The number -5 is a real number.

Answers

Answer:

The value π is a rational number.

Step-by-step explanation:

Please Help! 66 points and Brainliest!
Two scientists are running experiments testing the effects of a vaccine on different control groups. The results are shown in the graph using the functions f(x) and g(x):
Which statement best describes the graph of f(x) and g(x)?

The graph of g(x) will eventually exceed the graph of f(x).
The graph of f(x) will eventually exceed the graph of g(x).
The graphs will both have their y-intercept equal to 5.
The graphs will both have their y-intercept equal to 2.

Answers

Answer:

The graph of g(x) will eventually exceed the graph of f(x).

Step-by-step explanation:

Since f(x) is linear and g(x) is exponential, g(x) will eventually exceed f(x). You can see it start to do so at the top of your graph.

Hope I help :)

Answer:

The graph of f(x) will eventually exceed the graph of g(x)

Step-by-step explanation:

Because g(x) has a steady growth rate, and f(x) is exponential (changes rapidly), f(x) will exceed the graph of g(x). This is can be seen happening at the top of the graph, where f(x) grows higher than g(x) at a faster rate.

Please someone please help, will mark you Brainliest


Read the problem carefully and write the required information:


Community Gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will that amount be?


What are you looking for?


Define a variable:


Write the equation:



Solve the equation:


What will the amount of money be when the total amount of money paid to both gyms is the same?

Answers

Answer:

Step-by-step explanation:

Community gym

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

On the 15th month, community gym and workout gym will both get the same amount of $875.

Answer: what are you looking for? after how many months will the total amoung of money paid to both gyms be the same? Define a variable: I'm not sure. Write the equation, community Gym 50 + 55(x), workout gym 200 + 45(x), solve the equation. on the 15th month, community gym and workout gym will both get the same amount of $875.

Step-by-step explanation:

Differentiate between a fixed and movable pulley.

Answers

Answer:

Step-by-step explanation:

A fixed pulley consists of a wheel fixed to a shaft and is used in conjunction with a belt to transfer energy to another fixed pulley. A movable pulley consists of a shell, a movable wheel and a rope. Movable pulleys are also know as block and tackle.

You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.

Answers

Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

Step-by-step explanation:

A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .

So , length of one pair of opposite is represented by 'l'  [l= length]

Such that sum of these two sides = l+l=2l

The other pair of opposite sides s represented by 'w'  [w= width]

Such that sum of these two sides = w+w=2w

Perimeter is the sum of sides.

So, perimeter of rectangle = 2l+2w.

The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.

PLZ HELP AND CAN U PLZ EXPLAIN

Answers

P is biggest and M is smallest. The opposite side length tells you the answer. For example, opposite of angle m is 6 which is the smallest side length therefore the smallest angle. angle p is across from 10 which is the largest number so it’s going to be the largest angle

please help me solve this

Answers

The answer is C) all real numbers greater than or equal to one.

Hope this helps!

NEED HELP ASAP NEXT QUATER IS TODAY
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 14.06 ounces, the other weighs 20.15 ounces. How much does the box weigh? (2 points)
15.79 ounces
15.22 ounces
15.25 ounces
14.89 ounces

Answers

Answer:

15.79 ounces

Step-by-step explanation:

50−(14.06+20.15)

please help!!!
I don’t understand

Answers

Answer:

y = -2/5x - 6

Step-by-step explanation:

Slope intercept follows the y = mx + b, which m is the slope, and b is the y intercept.

1. Find the slope:

The formula for slope is the change in y/ over the change in x. Or you can say rise/run.

In other words you can take any of those 2 dots, first count them to the other dot, which is -2, then count horizontally, which is 5, so the slope is -2/5

Another way:

Another way is to take any two points, like (-10, -2), and (-5, -4).

Then we can do -4 -(-2)/-5 -(-10), which is -2/5.

So the equation we have so far is y = -2/5x + b

2.Find the y intercept

Based on the graph, the y intercept is -6, so we get

y = -2/5x - 6

PLEASE HELP QUICKLY
What is the value of y

Answers

Answer:

y= 8

Step-by-step explanation:

In a Triangle we know,

W+Y+X=180 degree

then,

(180-52)+(4y-4)+3y=180

or, 128+4y-4+3y= 180

or, 7y= 180- 124

or, y= 56/7

or, y= 8

hope you got it.

Solve for X in this parallelogram

Answers

Answer: 7

360 = 2(80) + 2(14x+2)
360 = 160 + 28x +4
360 - 160 - 4 = 28x
196 = 28x
7 = x

Find the slope of the line that goes through the given points. (-10, -3) and (-7, -9)​

Answers

Answer:

-2

Step-by-step explanation:

rise over run or, y2-y1/x2-x1

Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?

Answers

Answer:

Ari will think that Feeze Zone makes milkshakes with too much caramel.

Step-by-step explanation:

First off I took 3 ounces of caramel to 5 scoops of ice cream, which makes a ratio of 3/5.

Freeze Zone makes milkshakes with 6 ounces of caramel, so I multiplied the 3 and the 5 by two to get 6 ounces of caramel for the ratio.

once you multiply the ratio by two it becomes 6/10 and the milkshakes that Freeze Zone makes are 6/8, so they have more caramel than Ari likes.

Sorry if the explanation is a little confusing, I hope it helped :)

On Wednesday a local hamburger shop sold a combined total of 304 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Will mark if it is an actual correct answer with an actual explanation

Answers

Answer:

It would be 76 hamburgers were sold on Wednesday

Step-by-step explanation:

I divided the total 304 by 4 and got 76. Then when you multiply that out you get a total of 304

Yesterdays afternoon temperature was 21 °F. It plunged overnight to -3 °F. How many degrees did the temperature drop?

A. 3°
B. 18°
C. 21°
D. 24°

Answers

Answer:

the answer is b. 18

the answer is d 24 degrees

a person has 80 followers on social media. The number of followers tripled each year. How many followers will she have after 4 years. Explain your answer

Answers

I was wrong sorry:(

the second one is correct

Answer:

6,480 followers

Step-by-step explanation:

1 year = 80(3) = 240

2 years = 240(3) = 720

3 years = 720(3) = 2,160

4 years = 2,160(3) = 6,480

Consider the equations shown: ax + by = ab & 2ax + 3by = 3b Which of these is the value of y in terms of a? Option 1 : y = 3a – 35 Option 2 : y = 2ab – 3b Option 3 : y = 9a – 35 Option 4: y = 3 – 2a

Answers

Answer:

Option 4: y = 3 – 2a

Step-by-step explanation:

Given the simultaneous equation;

ax + by = ab  ......... 1

2ax + 3by = 3b .....2

Required

Express y in terms of a

Using elimination method to eliminate x variable.

eqn 1 * 2 and eqn 2 *1 will give;

2ax + 2by = 2ab

2ax + 3by = 3b

Subtract

2by - 3by = 2ab - 3b

-by = 2ab - 3b

-by = b(2a-3)

-y = 2a-3

multiply through by -1

y = -2a + 3

y = 3-2a

Hence the value of y in terms of a is y = 3-2a

Evaluate the exponential expression using the order of operations.



(6+3)4

Answers

Answer:

36.

Step-by-step explanation:

6 plus 3 is 9 and 9 times 4 is 36, hope this helps.

THIS IS DUE SOON!!! PLEASE HELP MEEEE!

Answers

your answers are correct!!
andwers ar eright :) good job

Whats 200×47280 ? Thank you!

Answers

Answer:

9456000

Hope this helps!!!1!

Answer:

I got 9456000

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x= 53 and y= 143

Step-by-step explanation:

x= 90-37

x= 53

y= 53+90

y= 143

-7(a – 9) 2-77
Answer please

Answers

the answer should be
-7(2a-7)

Answer:

-7 x (2a - 7)

a rectangle length is 3 times its width. The area is 27 square inches

Answers

the length would be 9 and the width would be 3

I need help on this question

Answers

Answer : I’ll say it’s B.
If it’s wrong sorry. I tried.
The correct answer would be B. If you divide by three on triangle A’B’C’ you would get triangle ABC

Pls help me I have no idea

Answers

Answer:

130 degrees

Step-by-step explanation:

ABF and BFE are alternate angles. So BFE is 65

BG=FG so FBG is 65. x the exterior angle is 65+65=130 degrees

What is the formula for calculating the efficiency of a heat engine?

Answers

Answer:

StartFraction T Subscript h Baseline minus T Subscript C Baseline over T Subscript h Baseline EndFraction times 100

Step-by-step explanation:

could i have brainliest plz i so close to next rank

Answer:

its a

Step-by-step explanation:


En Faiz deposits a sum of Rm 18000 in a bank with interest rate of 4.5% per annum and compounded
once every 4 months. Find En Faiz's total savings at the end of the year.​

Answers

Answer:

4.5 divide 100 x RM18000

4.5% is 810

810 x 3 = RM2430

RM 2430 is the total savings at the end of the year

Find the measure of ∠Z.




45°


75°


105°

Answers

Answer:

75

Step-by-step explanation:

X and Y are the same so Y would be 105 as well. The trapezoid as a whole equals 360 degrees. Take 360 and subrtract 105 twice and you'll get 150. Divide 150 by 2 and you'll get 75. W and Z will both equal 75.

Will give Brainlyest answer!

Answers

Answer:

c

Step-by-step explanation:

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