Two large and 1 small pump can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool? Please help me answer I'm in 5th grade and this is so hard.

Answers

Answer 1

Answer:

Let's define.

L = rate at which the large pump fills the pool.

S = rate at which the small pump can fill the pool.

We have two relations:

"Two large and 1 small pump can fill a swimming pool in 4 hours."

(2*L + S)*4h = 1

"One large and 3 small pumps can also fill the same swimming pool in 4 hours."

(L + 3*S)4h = 1

Then we have the system of equations:

(2*L + S)*4h = 1

(L + 3*S)4h = 1

To solve this system, we need to isolate one of the variables in one of the equations, i will isolate S in the first equation:

S = 1/4h - 2*L

Now we can replace that in the second equation:

(L + 3*(1/4h - 2*L))4h = 1

L + (3/4h) - 6*L = 1/4h

-5*L = 1/4h - 3/4h = -2/4h

L = (2/4h)*(1/5) = (2/20h) = 1/10h

This means that one large pump needs 10 hours to fill one pool.

With this, we can find the value of S:

S = 1/4h - 2*L = 1/4h - 2/10h = 5/20h - 4/20h = 1/20h

This means that a small pump needs 20 hours to fill a pool.

Now we can answer:

How many hours will it take 4 large and 4 small pumps to fill the swimming pool?

We need to solve the equation:

(4*(1/10h) + 4*(1/20h))*T = 1

We need to find the value of T.

T = 1/((4*(1/10h) + 4*(1/20h)) = 1.67 hours.

This means that 4 large and 4 small pumps need 1.67 hours to fill a pool.


Related Questions

Can somebody please help me?

Answers

Answer:

576 cm2

Step-by-step explanation:

576 cm2 because there is angles that work along it

Which statements are true regarding the sides and angles of the triangle? Select three options. Line segment X Y is the longest side. Angle X is the largest angle. Angle Z is greater than angle Y. Line segment X Z is opposite the largest angle. Line segment X Z is the shortest side.

Answers

Answer:

B. Angle X is the largest angle.

C. Angle Z is greater than angle Y.

E. Line segment X Z is the shortest side.

Step-by-step explanation:

YZ = 2n, XZ = n - 2, XY = n + 4 and n ≥ 5.

YZ - XZ = 2n - (n - 2) = n + 2. but n ≥ 5, hence YZ - XZ = n + 2 ≥ 7.

YZ > XZ

YZ - XY = 2n - (n + 4) = n - 4. but n ≥ 5, hence YZ - XY = n - 4 ≥ 1

YZ > XY

XY - XZ = n + 4 - (n - 2) = 6: XY > XZ

Therefore:

YZ > XY > XZ

The angles are proportional to their opposite sides, hence:

∠X > ∠Z > ∠Y

A. Line segment XY is the longest side.

This is wrong because YZ is the longest side.

B. Angle X is the largest angle.

This is correct. ∠X is the largest angle because it is opposite to the longest side (YZ)

C. Angle Z is greater than angle Y.

This is correct. ∠Z is opposite to the side XY while ∠Y is opposite to the side XZ

D. Line segment XZ is opposite the largest angle.

This is wrong. ∠X is the largest angle which is opposite to the longest side (YZ)

E. Line segment X Z is the shortest side.

This is correct

Answer:

bce

Step-by-step explanation:

help me plez........

Answers

Answer:

=12

hope that helped you:)

please make my answer brainiest as im trying get 4 brainiest answers

what’s the answer to :
12x+8x+3+x ?

Answers

21x+3
I hope you enjoy the answer

Answer:

[tex]21x+3[/tex]

Step-by-step explanation:

[tex]12x+8x+3+x[/tex]

Collect like terms

[tex](12x+8x+x)+3[/tex]

Simplify

[tex]21x+3[/tex]

PLEASE MARK ME AS BRAINLIEST

write the equation for two less than x PLEASE HELP ASAP!! WILL MARK BRAINILIEST!!

Answers

Answer:

x - 2

Step-by-step explanation:

Have an amazing Christmas break!

Feel free to give brainliest, cuz I really need some right now. I'm getting tired of people deleting them.

Need some help with math pleasee

Answers

Answer:

whats the question? I ca answer it if you tell me :)

Step-by-step explanation:

i need help
this is due today at 4

Answers

Answer:

Hi The Answer is A.

Step-by-step explanation:

The Answer is A Because of the funter travel of the X.

x*y=z

Hope This Helps.

:)

My name is John henry.

C......................... to

a=3/a+2
Answer please ?

Answers

kkakskkskszlkzkzsiksks

-5x + 4y = 3
x = 2y - 15
solve for x and y
I'm failing please send help

Answers

Answer:

Let's solve for x.

−5x + 4y = 3

Step 1: Add -4y to both sides.

−5x + 4y+ −4y =3+ −4y

−5x = −4y +3

Step 2: Divide both sides by -5.

-5x divided by 5 = -4y+3 divided by -5

x=4/5y + −3/5

Step-by-step explanation:

Calculate the average times it took the car to travel 0.25 and 0.50 meters. Record the averages, to two decimal places, in Table C of your Student Guide.

What is the average time it took the car to travel 0.25 meters?

seconds

What is the average time it took the car to travel 0.50 meters?

seconds

Answers

Answer:

What is the average time it took the car to travel 0.25 meters?

2.23  seconds  

What is the average time it took the car to travel 0.50 meters?

3.13 seconds

I hope is work you!!

(1) The first velocity of the car with two washers at the 0.25 meter mark is 0.125 m/s.

(2) The second velocity of the car with two washers at the 0.5 meter mark is 0.25 m/s.

What is velocity?

Velocity is the rate of change of displacement with time. The velocity of the  cars depends on displacement and time of motion.

First velocity of the car at the 0.25 meter mark

The first velocity is calculated as follows;

v1 = 0.25 m / t1

let t₁ = 2 s

v₁ = 0.25/2

v₁ = 0.125 m/s

Second velocity of the car at the 0.5 meter mark

v2 = 0.25 m / (t2 – t1)

let t₂ = 3 s

v₂ = 0.25(3 - 2)

v₂ = 0.25 m/s

The complete question is below:

Calculate the first and second velocities of the car with two washers attached to the pulley, using the formulas

v1 = 0.25 m / t1, and

v2 = 0.25 m / (t2 – t1)

Learn more about velocity here: https://brainly.com/question/6504879

Bob's monthly net income is $3,000. Bob pays $950 for rent, $250 for all
utilities, and $1,850 in other fixed and variable expenses. What is Bob's
cash flow?
A.Negative cash flow, $50
B.Negative cash flow, $3,050
C.ositive cash flow, $3,050
D.Positive cash flow, $50

Answers

Answer:

A: Negative cash flow, $50

Step-by-step explanation:

Bob makes $3000 a month.

Every month he has to pay $950:

3000 - 950 = 2050

Pay an additional $250:

2050 - 250 = 1800

And another additional $1850:

1800 - 1850 = -50

Therefore, he has a negative cash flow of $50 a month.

(Sorry i am not good at math) Write an expression for the operation described below.
multiply 10 by t

Answers

Answer:

Multiplying 10 by t will not work under most circumstances so it would be 10t which means 10*t but if you substitute the t for lets say 4 then you would get 40 but that wasn’t the question so your answer is 10t

Find the missing value if
f(x) = 2.
x=____
NEED HELP ASAP!!!

Answers

Answer:

i think its possibly 4

Step-by-step explanation:

Answer:

I think the answer would be 4

Please anyone help me 38 points

Answers

Answer:

An equation for the parabola would be y²=-19x.

Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis.  This means we will use the standard form

(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.

Beginning with the directrix:

x=h-p=4.75

h-p=4.75

Since the vertex is at (0, 0), this means h=0 and k=0:

0-p=4.75

-p=4.75

p=-4.75

Substituting this into the standard form as well as our values for h and k we have:

(y-0)²=4(-4.75)(x-0)

y²=-19x

Step-by-step explanation:

GOOD LUCK

The relationship between x and y can be modeled by an inverse variation function equation
Table

What is the value of k for the inverse variation function?
k =

Answers

Answer:

2.9

Step-by-step explanation:

you multipli everithing

Answer:

19,800  

for the second the answer is C and third is D on edge

Priya works in a pet hospital. She earned $86.00 for working 10 hours
last week. At this rate, how much would she earn for working 16 hours? *
A) $137.60
B) $134.60
C) $127.60
D) $124.60

Answers

86 divided by 10
Which equals 8.6
8.6 times 16
The answer is 137.6

What is the value of the expression if z=27?
7/9z-18+1/3z
A. 12
B. 30
C. 48
D. 84

Answers

Answer:

12

Step-by-step explanation:

Just put in the value of 27 in all the z's

For the function shown below, find f(1):
f(x) = 2x4 - 8x2 + 5x - 7

Answers

The overall answer is -8 if the function is in the form I’ve written out

f(x)=x^2-5x
f(4)=
Please help.!!
show work also

Answers

F(4)=(4)^2-5(4)
F(4)=16-20
F(4)=-4
-4 is the answer
Hope this helps

Please answer if your good with graphs please!

Answers

Answer:

x = -5

Step-by-step explanation:

f(x)= is another way of saying y=

When y is equal to -3...you are looking for a point on the graph where it is -3 on the y-axis..then x is -5.

Look at (-5,-3).

uhhh if you get all of these correct ill gib banana

Answers

Answer:

For the first one, I believe it's RT and TV - ST and TU

Second one, first and second answer.

And third is SSS I believe

Really hope this helps you out, I struggle a bit in Geometry as well, so I get what you're going through

Enter the value of 56+(−23)−(−3)

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

56-23+3=

=33+3=

=36

im on the last question of my test and I need help. what table represents a linear function??

Answers

Answer:

d is right guy below me is right because this one has a partern

because everytime it was going -2 for y and +1 for x

Answer:

D is the answer

Step-by-step explanation:

For a table to be linear, you can look at the y and x. The equation for slope if ∆y/∆x. Basically, look at the change in y over the change in x. In the last equation, the rule for y cotinues to be -2. X changes as +1. This is a pattern that continues. If you put the y/x, the slope would be -2.

Also, if you look at the other equations, there is no rule. Therefore, the answer is D.

WILL MARK BRAINLIEST TO THE BEST ANSWER. PLEASE SHOW ALL WORK IN FULL SOLUTIONS. THANK YOU. A basketball has a diameter of 7.4 cm, Which expression represents the volume of the basketball?
A) 4pi(3.7)^3
B) 4pi(7.4)^3
C) 4pi(7.4)^3/3
D) 4pi(3.7)^3/3

Answers

i think the answer is A.

the formula to find the volume of a sphere is 4/3 x pi x radius cubed. this means you have to split the diameter in half giving you 3.7 which automatically rules out the answers with 7.4 written in them. now you have to compare A and D but D has 3/3 at the end. this is where you can see that it’s wrong because when you cube you don’t use a fraction.

What is the constant of proportionality for the data represented on the graph?

Answers

Answer:

200 meters per minute

Step-by-step explanation:

each minute goes by 200 meters

1+1??????????????????????????????????????????

Answers

Answer: 2

Step-by-step explanation: 1+1=2

Answer:

1+1=2 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

its being shifted 2 units up​

Answers

Answer: F=1

Step-by-step explanation: Here

F(x)=x

Fx/x=x/x

F=1

What is the slope intercept form of this?

Answers

Answer y=4x-5

Step-by-step explanation: Did this years ago just search up how it is step by step sowwy ;-;

An adult horse can have a mass of as much as 1,250 kilograms. What is 1,250 kilograms in grams?

Answers

Answer:

1250000

Step-by-step explanation:

1250 = kilograms = 1250000 in grams so it would be 1250000

A. 7.6
B.9
C.7.1
D.8 units
HELPP PLEASEE

Answers

Answer:it will be c

Step-by-step explanation:

9514 1404 393

Answer:

  C.  7.1

Step-by-step explanation:

The distance is found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1-(-6))² +(1-2)²) = √(7² +(-1)²) = √50

  d ≈ 7.07107 ≈ 7.1 . . . . . matches choice C

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