a homeowner has just installed a swimming pool with a capacity of 3.5 x 10⁴ gallons.of the pool is initially empty, how many hours will it take to fill it using only a garden hose that delivers 630 gallons of water per hour

Answers

Answer 1

Using proportions, it is found that it will take 55.6 hours to fill the poll.

What is a proportion?

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, in one hour, 630 gallons of water are delivered. How many hours are going to take to deliver 3.5 x 10⁴ gallons = 35000 gallons?

The rule of three is:

1 hour - 630 gallons

x hours - 35000 gallons

Applying cross multiplication:

[tex]630x = 35000[/tex]

[tex]x = \frac{35000}{630}[/tex]

[tex]x = 55.5[/tex]

It will take 55.6 hours to fill the poll.

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Answer 2

The hours it would take to fill the swimming pool is 55.6 hours.

What does division mean?

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

How many hours would it take to fill the swimming pool?

Number of hours = capacity of the swimming pool / capacity of the hose

3.5 x 10^4 / 630

35,000 / 650 = 55.6 hours

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Related Questions

Which of the following is an advantage to refinancing?
A. It is a time-consuming process.
B. There are prepayment penalties.
C. It offers lower interest rates.
D. There are additional closing costs.

Answers

Answer:

c it offers lower interest rates

A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle

Answers

Answer:

12 inches

Step-by-step explanation:

1. The diagonal is the hypotenuse of the right triangle.  so since we know one side length, we can figure out the other side length

1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12

Simplify the rational Expression

Answers

Answer:

[tex]\frac{x^2+2x}{x-3}[/tex]

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling  common factors.

Numerator :  x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

[tex]\frac{x^2+2x}{x-3}[/tex]

PLEASE HELP! 15 POINTS!! WILL MARK BRAINLIEST!!!!!! HELP IN MATH!!!!!! PLEASE I AM BEGGING U!!!!!!!!

Answers

Answer:

6 inches high

Step-by-step explanation:

Answer: I can help you....

Step-by-step explanation:

Just copy and pase the question into the go og le sea rc h e ng in e, theres like a 50% chance u will find a similar question just with the words changed up or u will find the exact one. Hope this will help you!

Which term completes the product so that it is the difference of squares?
(-5x-3)(-5x+____)

A. -9
B. -3
C. 3
D. 9

Answers

Answer:

3

: The term that completes the product so that it is the difference of squares is 3.

Find the value of x in the equation below.
9.5 = x/5

Answers

Answer:

47.5

Step-by-step explanation:

you would do 5 x 9.5 to find the answer for x

Help me out please :)

Answers

Answer:

2$ I think

Step-by-step explanation:

It’s 2 dollars for this



Select three ratios that are equivalent to 6:16

Answers

Answer:

12:38

3:8

24:44

Step-by-step explanation:

al the numbers are multiples equally

Answer:

3:8

Step-by-step explanation:

i dont know how

how i just know

1 meter convert to centimetres​

Answers

Step-by-step explanation:

converting 1 meter to centimeters

1 m = 100 cm

How to find distance on a triangle like the diagonal part with the Phyhagorean Theorem?​

Answers

H2+P2+B2 is the answer of this question

Consider the numbers z= 2 + 5i, w = -3- 2i, and u=-1+2i.
z+w is equal to -1+vi
w-u is equal to - 4i
u + w is equal to -4 -

Answers

Answer:

3, 2, 0

Step-by-step explanation:

trust me

The resultant value of vectors are:

1. z + w = -1 + 3i.

2. w - u= -4 - 4i

3. u + w = -4.

Given:

z = 2 + 5i

w = -3 - 2i

u = -1 + 2i

1. z + w:

Adding the real and imaginary parts separately gives

(2 + 5i) + (-3 - 2i) = (2 - 3) + (5 - 2)i

                          = -1 + 3i

Therefore, z + w is equal to -1 + 3i.

2. w - u:

Subtracting the real and imaginary parts separately gives

(-3 - 2i) - (-1 + 2i) = (-3 + 1) + (-2 - 2)i

                          = -4 - 4i

Therefore, w - u is equal to -4 - 4i.

3. u + w:

Adding the real and imaginary parts separately gives

(-1 + 2i) + (-3 - 2i) = (-1 - 3) + (2 - 2)i

                           = -4

Therefore, u + w is equal to -4.

Learn more about Vector addition here:

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kate buys 10 ticket to show. She also pays a 5$ parking fee. she spent $35 to see the show. What equation is this

Answers

Answer:

35 = 5 + 10x

Step-by-step explanation:

x = the ticket price.

Each ticket was $3

hope this helps :)

(35 - 5)/10 = 3 because She paid 35 all together + 5$ was for parking, we can subtract that. Then 30/10 is equal to 3 so she spent 3 dollars for each ticket

(9,18)(4,3) find the slope

Answers

Answer:

m (slope) = 3

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m= 3-(18) / 4-(9)

simplify

m=3

Answer:

3

Step-by-step explanation:

HELP ME PLEASE FAST!!!!!!!!!!!!!!!1

Answers

Answer:

B.

Step-by-step explanation:

B. is the answer

Which of the following is an example of a reserved power?

A. raising and maintaining a navy

B. declaring war and governing combat

C. establishing and funding a system of public education

D.coining money and fixing the standards of weights and measures

Answers

Answer:

B

Step-by-step explanation:

What the answer please!!!!

Answers

Answer:

a

Step-by-step explanation:

Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
%?

Answers

-16.2! Hope it’s right sorry if it’s not!!!
9%. 180000x9%=196200

The figures are similar. Find x.

Answers

6/9=x/21
x=21*6/9
=126/9
x=14

Alexander read 12 books in 3 months what was her rate of reading and months per book ​

Answers

Answer: 4 books every month

4:1

Tobias bought four video games for $34. 10, $25.50, $13.25, and $9.99,
dileTobias spend?
How much money
A. $172.75
B. $99.40
C. $82.84
OD. $61.74

Answers

Answer:

C. 82.84

Step-by-step explanation:

In what way does the power of judicial review act as a check?


A. Courts can review acts of other courts


B. Courts can impeach the president


C. Courts can declare congressional acts unconstitutional


D. Courts can check on other courts to make sure they are acting constitutionally

Answers

Answer:

a

Step-by-step explanation:

Pls help I need it now pls

Answers

Answer:

it would be D because x is based off of the x axis so when it moves left to right. And y is y axis so it moves up and down.

Step-by-step explanation:

There are 23 students in ms day”s class. Only 17 students are present today use the model to find A the number of students that are absent

Answers

Answer:

6 students are absent.

pls help!
I need help.
If you don't know please don't answer a guess or a silly answer.
If you know for sure please put the answer below and you will get 20 points.
Thank you!

Answers

Answer:

3.

Step-by-step explanation:

Divide the day price by the week and round down.

You get like 3.45, so 3.

hope this helps :)

Step-by-step explanation:

Answer is 3 or 3.45 i think also are you on a quiz on savvas realize or this just work

Can you help me put these in order please

Answers

Step-by-step explanation:

8.4 - 8.41 - 8.485 - 8.538 - 8.55 - 8.566

Answer: least to greatest

8.4, 8.41, 8.485, 8.538, 8.55, 8.566

least to greatest

.Given the assignment categories and weights listed below, what overall grade should the student get in the class? Round your answer to one decimal place. please show me how you got this and what steps u did please hurry
Weight. Average
Homework30%. 95
Projects 15%. 80
Tests 50% 77
Attendance 5% 50

Answers

Answer: The answer of your over all grade is 81

Step-by-step explanation:

You do the % then you add them together.

like in this picture  

determine the simple interest when:
principal is $890, interest rate is 4.25% and the time is over 2 years​

Answers

Answer:

$75.65

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 890 × 0.0425 × 2 = 75.65

I = $ 75.65

The simple interest accumulated

on a principal of $ 890.00

at a rate of 4.25% per year

for 2 years is $ 75.65.

3 kitchen assistants can prepare 10kg of vegetables in 30 minutes. How long would it take 30 assistants to prepare the same amount?​

Answers

Answer:

It will take  4.5  minutes.

Step-by-step explanation:

Clark typed 720 words in 18 minutes. How many words can he type in one minute?​

Answers

Answer:

Clark can type 40 words in one minute

Step-by-step explanation:

Set up a proportion: [tex]\frac{720}{18} = \frac{x}{1}[/tex]  Cross multiply, then divide: 720 × 1 = 720, 720 ÷ 18 = 40So, x = 40

I hope this helps!

720/18 = 40

He can type 40 words a minute

Which expressions are equivalent to the perimeter of the shape? How do you know?

a. x + 3 + 3x + 1
b. 2x + 4 + x
c. 4x + 4
d. 2x + 2 + 2x + 2

Answers

x+1+1+x+x+1+x+1
4x+4

The answer is c.

The expressions are equivalent to the perimeter of the shape is c. 4x + 4

What is perimeter?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Perimeter of the rectangle = 2(length+width)

Given the paramters are;

length  = x + 1

W = x + 1

Perimeter of the shape= x+1+1+x+x+1+x+1

Perimeter = x+1+1+x+x+1+x+1

= 4x + 4

This is the expression equivalent to the perimeter of the shape

The answer is c.

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