A pool has two inlet pumps A and B. If pump A alone is open, it takes 12 hours to fill the pool with water. If pump B alone is open, it takes 18 hours to fill the pool with water. If the pool needs to be filled in 10 hours, what is the least amount of time (in hours) both pumps need to be open?

Answers

Answer 1

Answer:

The least amount of time (in hours) both pumps need to be open is 3 hours.

Step-by-step explanation:

According to the Question,

Given That, A pool has two inlet pumps A and B. If pump A alone is open, it takes 12 hours to fill the pool with water. If pump B alone is open, it takes 18 hours to fill the pool with water.

Let the Capacity of the Pool is 36Litre.

Thus, If pump A alone is open, it takes 12 hours to fill the pool with water. thus the Efficiency of Pipe A is 3 ltr/hour.And, If pump B alone is open, it takes 18 hours to fill the pool with water. thus the Efficiency of Pipe B is 2 ltr/hour.

If the pool needs to be filled in 10 hours the least amount of time (in hours) both pumps need to be open is 3 hours.

Note:- if 3 hour both pipe open so 3 x (5) = 15 ltr Pool is Filled.

Now For Remaining 7 hour Pipe A with Efficiency 3 ltr/hour is open alone to fill the pool Remaining 7 x 3 = 21 ltr . Total 21+15 = 36ltr .


Related Questions

Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?

Answers

Answer:

6

Step-by-step explanation:

An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:

32 x 1 = 32

2 x 16 = 32

4 x 8 = 32

8 x 4 = 32

16 x 2 = 32

1 x 32 = 32

There are 6 ways for Evan to create a array of 32 miniature cars.

~

Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.

How many quarts of fertilizer are left?

Answers

Joseph would have 81 quarts of fertilizer left

The solution is:

48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

The directions say to use 4/5 of a quart of fertilizer for each acre of land.

Alan has two fields,

Field 1

22 1/2 acre of land

1 acre of land = 4/5 quart

22 1/2 acre of land = x

Cross Multiply

x = 22 1/2 × 4/5

x = 45/2 × 4/5

x = 18 quart of fertilizer

Field 2

38 1/4 acres of land

1 acre of land = 4/5 quart

38 1/4 acre of land = x

Cross Multiply

x = 38 1/4 × 4/5

x = 153/4 × 4/5

x = 30.6 quart of fertilizer

The total fertilizer that Alan will need for his two fields is calculated as:

18 quart of fertilizer + 30.6 quart of fertilizer

= 48.6 quart of fertilizer

Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.

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complete question :

alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?

A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?

Answers

Answer:

10 people can go to the amusement park

Step-by-step explanation:

363 - 5.50 = 357.5

357.5 / 35.75 = 10

Select ALL the functions whose graphs include the point (16, 4).

Answers

Answer:

D

Step-by-step explanation:

x=16

y=4

4=16-12

4=4

Answer:

D

Step-by-step explanation:

If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?

Answers

Answer:

8 Months to read 24 Books

Answer:

240

Step-by-step explanation:

a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?

Answers

Answer:

32

Step-by-step explanation:

area of rectangle: 6*4=24

area of top triangle: 4*2=8

24+8=32 total area

Stephanie earns $4,000 a month, plus a 10% commission on everything she sells. If during one month, she sold $50,000 worth of product, what was her salary for that month?

$9,000

$4,000

$5,000

$6,500

Answers

It would be 9,000
She got 4 thousand a month and added from the 10% so it’s 9,00 for the month I hope this helped

cual es el perimetro de 12 cm de ancho y 22 de largo



es para hoy

Answers

Answer:

Perimeter of figure = 68 centimeter

Step-by-step explanation:

Given information:

Width of side = 12 centimeter

Length of side =  22 centimeter

Find:

Perimeter of figure

Computation:

Perimeter of rectangle = 2[l + b]

Perimeter of figure = 2[Width of side + Length of side ]

Perimeter of figure = 2[12 + 22]

Perimeter of figure = 2[34]

Perimeter of figure = 68 centimeter

What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p ​

Answers

Answer:

p=1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

Multiply each side by 5 to clear the fractions

5(2/5 + p) = 5(4/5 + 3/5p)

2 +5p = 4 + 3p

Subtract 3p from each side

2+5p-3p = 4+3p-3p

2+2p = 4

Subtract 2 from each side

2+2p -2 = 4-2

2p =2

Divide by 2

2p/2 = 2/2

p=1

[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5}   }[/tex] 

[tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5}   }[/tex] 

[tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] 

[tex]\sf{ 2+5p=4+3p  }[/tex] 

[tex]\sf{5p-3p=4-2   }[/tex] 

[tex]\sf{ 2p=2  }[/tex] 

[tex]\sf{p=\dfrac{2}{2}   }[/tex] 

[tex]\bold{p=1   }[/tex] 

Find the area of the shaded sector

Answers

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

How many solutions exist for the system of equations below? ​

Answers

Answer:

No solution or none

Step-by-step explanation:

3x+y=18 equation 1

3x+y=16 equation 2

-3x-y=-18 multiply equation 1 by -1

0=-2 add above 2 equations

no solution or none

CAN SOMEONE HELPPPPPP PLEASE?!??!!!!?

Answers

If AM=10, then AC=10 because both are radii. TC is a diameter so that’ll just be the radius doubled. TC=20!

What is the solution to the system of equations graphed below

Answers

Answer:

A

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 1 ) ← solution → A

The solution is A i’m sure like the other guy said

PLS ANSWER ASAP DUE 9:35

Answers

Answer:

c) 72

hope this helps!

please give brainiest<3

Answer:

72

Step-by-step explanation:

Substitution:

4^3 + 4 x 6 - 16

64+24-16=72

a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth

Answers

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]

Can anyone help me on this I would appreciate it

Answers

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

Insee its finna be 14

Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35

Answers

Answer:

its 10 because chu papi munenu

write the expression in expanded form
3h^3(k+3)^2

Answers

Answer:

3h³k² + 18h³k + 27h³

Step-by-step explanation:

Given

3h³(k + 3)² ← expand factor using FOIL

= 3h³(k² + 6k + 9) ← distribute parenthesis

= 3h³k² + 18h³k + 27h³

Which equation represents "the sum of eight times a number and seven is twice the number"?

8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N

Answers

The answer is 8N+7=2N
A - 8n + 7 = 2N - due to the question

A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answers

Answer:

.094

Step-by-step explanation:

5/11 is .455

11 total marbles 5 are green

but thats the probability of just one draw

so .455 x .455 x .455 is .094 for three separate draws

what is the solution to x^2 + 6x + 7

Answers

Answer:

x2+6x+7

Step-by-step explanation:

there are no like terms

i think you are missing something in your question (like the equal sign?)

reply in comment so i can help:)

4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?

Answers

Answer:

936 girls at the school

Step-by-step explanation:

4/7 of 2184 = 1248

2184-1248 = 936

Happy learning! Please mark brainliest!

--Applepi101

The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?

Answers

Given:

The area of a flower garden is 60 m².

One third of it was used for growing roses and the remaining area was divided into two equal parts.

To find:

The area of each remaining part.

Solution:

It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:

[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]

[tex]\text{Remaining}=60-20[/tex]

[tex]\text{Remaining}=40[/tex]

The remaining area was divided into two equal parts. So, the area of each remaining part is:

[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]

[tex]\text{Area of each remaining part}=20[/tex]

Therefore, the area of each remaining part is 20 m².

SOMEONE PLEASE HELP MEEEE

Answers

Answer:

[tex]-180^{\circ}[/tex]

Step-by-step explanation:

Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.

Answer:

-180 because its through 0

hope this helps!

Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).

Answers

Answer:

y = -2/3x - 11/3

Step-by-step explanation:

What is the product of 7x-4 and 8x+5?​

Answers

Answer:

15x+1

have a nice day

Answer:

5x+1 is the answer for your question

if a dice is rolled 240 times how many times do you think it will land on each number?​

Answers

Answer:

being they all have the same amount of chances to be rolled on the same amount  i would say 40

Step-by-step explanation:

The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals

Answers

Answer:

2x+6

Step-by-step explanation:

answer is in the photo above

Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).

Answers

Answer:

[tex]y=-x+16[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-1x+b\\y=-x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-x+b[/tex]

Plug in the given point (7,9) and solve for b

[tex]9=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]9+7=-7+b+7\\16=b[/tex]

Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:

[tex]y=-x+16[/tex]

I hope this helps!

5. A gallon of paint covers 300 square feet.
How many gallons must be bought to cover a room with two 25' by 12' walls and
two 20' by 12' walls?

Answers

Step-by-step explanation:

wall 25×12=300

2 walls = 600

wall2 20×12=240

2 wall2= 480

600+480= 1080 sq ft

The number of gallons that must be bought to cover a room with two 25' by 12' walls and two 20' by 12' walls is 3.6 gallon

What is area of rectangle ?

"Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides."

Given,

A gallon of paints covers 300 square feet.

Area of the first two walls is [tex]2*25*12[/tex] = 600 square feet

Area of the second two walls is [tex]2*20*12[/tex] = 480 square feet

Total area of the room is = 480+600 = 1080 square feet

The paint required for 1 feet is = 1/300

So, the paint required for 1080 feet is = 1080/300 =3.6

Hence, the paint required to cover the entire room is = 3.6 gallon

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