Theresa has a rectangular pool 30 ft long, 15 ft wide, and 4 ft deep. Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water.


Nancy has a circular pool with a diameter of 24 ft and a depth of 4 ft. Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.


If Theresa and Nancy both fill their pools 6 inches from the top of the pool, determine and state who paid more to fill her pool. [ 1 ft3 water = 7.48 gallons]

Answers

Answer 1

Answer:

Step-by-step explanation:

Both pools were filled 6 inches from the top.

12 inches = 1 feet

6 inches = 6/12 = 0.5 foot

Considering Theresa's pool, it is rectangular. The formula for determining the volume if the rectangular pool is

Volume = length × width × height

Height filled is 4 - 0.5 = 3.5 feet

Volume = 30 × 15 × 3.5 = 1575 ft³

Recall, 1 cubic feet = 7.48 Us gallons

Therefore,

1800 cubic feet = 1575 × 7.48 = 11781 gallons of water

Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water. It means that the amount she paid to fill her pool is

3.95 × 11781/100 = $465.35

Considering Nancy's pool, it is cylindrical. The formula for determining the volume if the cylindrical pool is

Volume = πr²h

Diameter = 24

Radius = diameter/2 = 24/2 = 12 ft

Volume = 3.14 × 12² × 3.5 = 1582.56 ft³. Converting to gallons, it becomes

1582.56 × 7.48 = 11837.55 gallons of water.

Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.

It means that the amount she paid to fill her pool is

200 × 11837.55/6000 = $394.59

Therefore, Theresa paid more to fill her pool.


Related Questions

what is the y-intercept of the equation y=-x?

Answers

Answer:

0,0

Step-by-step explanation:

X+2y>10

1.(1,3)
2.(2,0)
3.(1,1)
4.(5,3)

Answers

Answer:

very easy just compensate using the first number for x and the other for y

let's try 5 for x and 3 for y

5+2*3=11>10 so it's the answer

4.(5,3)

Factoring expressions: 17x-34xy

Answers

17x(1-2y)

17x-34xy

because both expressions have a x, it would be easier to factor out the x first. but because 17 is a factor of 34 you can simply divide 34 by 17 and get 2. so you put it together to this,

17x(1-2y)

Because, 17x times 1 is 17x but 17x times -2y would be -32xy.

Answer:

17x(1-2y)

Step-by-step explanation:

1) so "x" is common in this expression so lets take that out first:

x(17-34y)

2) but 17 is also common since 17*2=34 so lets take "17" out:

17x(1-2y)

What is the 14th term in the sequence 6n + 1

Answers

Answer:

85

Step-by-step explanation:

6(14)+1=

84+1=

85

Hope this helps! please mark brainliest :)

was da answer people?

Answers

Answer:

39 homes

Step-by-step explanation:

The fraction of people having computers is

13/20

Multiply by the number of homes

13/20 * 60

13 * 60/20

13*3

39

39 homes

Answer:

39 Computers

Step-by-step explanation:

i never really understood how everyone does these types of question so i just do them my own way:

60/20 = 3  

13*3 = 39

ʕ•ᴥ•ʔ  (dats a bear)

Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 20% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party?

Party Prices
• Food & Drink $300
• Game Tokens $125
• Other $85

Answers

Answer:

408$

Step-by-step explanation:

I have provided 2 pictures. Please help.

Answers

Answer:

Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1

Suzie wants to buy a shirt that costs $30.00. She has $90.00. How many shirts can Suzie buy?

Answers

Answer:

3 shirts

Step-by-step explanation:

90 divided by 30 = 3

Therefore, with $90.00, Suzie can buy 3 shirts.

:)

Answer:

3 shirts

Step-by-step explanation:

$90/$30=3 shirts

Is -20.33 rational or irrational?

Answers

Answer:

No it is irrational (looked at it wrong)

what is the lowest common multiple of 12 and 16

Answers

2 is the lowest common multiple of 12 and 16.

What name is given to quadrilaterals in which the diagnosis are equal in length and bisect each other?

Answers

Answer:

Did you mean the diagonal are equal in length and bisect each other?

In that case, it is parallelogram.

Hope this helps!

:)

Answer:

Rectangles

Step-by-step explanation:

Diagonals bisect each other for all parallelograms.

But they are equal in a few.

Note: square is also a rectangle

What is the circumference of the circle? Use 3.14 for pi r=6.4 cm circle

Answers

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...

a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm

Answers

Answer:

area=250.12. perimeter=3380

Step-by-step explanation:

will mark brainliest answer for fastest answer given

Answers

Answer:1/8

Step-by-step explanation:

there are 8 slices and its asking for the probability of one number. so its 1 out of 8

Answer: 1/4

Step-by-step explanation:

3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.

2/8 = 1/4

Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?

Answers

Answer:

$17.33

Step-by-step explanation:

3.5×4.95

=17.325

= $17.33

Qasim and Alejandra both earn $15 an hour at their job. This week Alejandra worked three hours more than Qasim. If h represents the number of hours Qasim worked, and in total they earned $195, how many hours did each person work?

Answers

Answer:

Alejandra worked 8 hours and Qasim worked 5

Step-by-step explanation:

195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

circumference is diameter x pi

radius + radius = diameter

11+11=22

22 x pi = 69.11503837897545

If you just use 3.14

3.14 x 22 = 69.08

Step-by-step explanation:

Solve for the height (h) of this triangular prism if the volume is 1080. The

volume of a triangular prism is V = (B)(h), where B is the area of the

triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL

BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE

FOR THE TRIANGULAR PRISM. *

h

15

8

Answers

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

HELP!!!!! due in 5 or 10 minutes!!!



Caleb has a cube with an edge length of
3 inches. Emma has a cube whose volume is
27 times as great as the volume of Caleb's
cube.
What is the length of Emma's cube?

Answers

Answer:

The answer is 9.

Step-by-step explanation:

Caleb's cube has a volume of 27 inches cubed.

27 x 27 = 729

729 has a cube root of 9.

How milliliters will there be?

Answers

Answer: Conver 9.7 liters into milliliters!

Me: Ok

                                                                  Can Yo explain: You

Me: multiply the volume value by 1000

Me: is 9700

                                                                 Wow Thanks! Goodbye! :You

Me: I am smarter!

Simplify to create an equivalent expression.
2(3y + 6) -3 (-4 - y)​

Answers

Step-by-step explanation:

6y+12+12+3y

=9y+24

=3(3y+8)

What is the next term in this sequence: 76, 80, 88, 95, 100, 101


I’m stuck

Answers

Answer:

112

Step-by-step explanation:

Given the sequence 76, 80, 88, 95, 100, 101... Before we can get the next term of the sequence, we must first understand the pattern. We are not going to be considering all the terms of the sequence. In the sequence, only the following values forms a pattern as shown;

76, 88, 100... This are the  first, third and fifth term of the sequence. The next term will be the 7th term of the sequence and the 4th term of the extracted sequence which is what we are looking for.

Note that the extracted forms an arithmetic sequence with 76 as its first term and 12 as its common diffidence (i.e 88-76 = 100-88).

Using the nth term of an AP to find the next term of the sequence we have;

[tex]Tn = a + (n-1)d[/tex]

a is the first term = 76

d is the common difference = 12

n is the number of terms = 4 (since we are looking for the 4th term of the extracted sequence)

[tex]T4 = 76+(4-1)*12\\T4 = 76 + (3*12)\\T4 = 76 + 36\\T4 = 112[/tex]

The next term in the sequence is 112

Answer:

105

Step-by-step explanation:

What are opposite numbers

Answers

Answer:

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides/opposite directions

Answer:

Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as −n. For example, −7 is opposite to 7, because with −7+7=0

You can say that the opposite number of a number, is the negative version of the positive number. This is what the opposite of 7 is or the opposite of -7.

does any of yall know the answer to this shat?

Answers

Answer:

s=2

Step-by-step explanation:

subtract 21 from both sides= -3s=-6

divide by -3 to get s alone

s=2

s = 2

Step-by-step explanation:

subtract 21 to both sides

-3s= -6

then divide by -3 both sides to isolate  s variable

s= 2

3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?​

Answers

Answer:grjjrd

Step-by-step explanation:fdfgdjj

Follow the steps to find the value of x.

1. Addition property of equality. One-fifth (x) minus two-thirds = four-thirds. One-fifth (x) minus two-thirds + two-thirds = four-thirds + two-thirds. 2. Multiplicative property of equality. One-fifth (x) (StartFraction 5 over 1 EndFraction) = StartFraction 6 over 3 EndFraction (StartFraction 5 over 1 EndFraction)


The solution is x =
.

Answers

Answer:

x=10

is the solution

..............

Answer:

10

Step-by-step explanation:

It's right in Edgen

if you can help with any of these two or both that would be great ! :)
thanks

Answers

Answer:

hmmm not sure

Step-by-step explanation:

try mulitply the numbers

You want to put $8,000 in a simple interest account. It has a 2% annual interest rate. How long must you invest that money to earn $400 in interest? CLEAR CHECK 2.5 years 5 years 10 years 0 years

Answers

Answer:

2.5 years

Step-by-step explanation:

Interest= P×R×T÷100

T= 100I÷P×R

T= 100×400÷8000×2

T= 40000÷16000

T= 5÷2

T= 2.5 years

Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 72.2 inches. The length of the frame is 20.3 20.3 inches. Write an equation to find the width of the frame, x

Answers

Answer:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in[/tex]

And the width for this case would be 15.8 in

Step-by-step explanation:

For this case we know that the photo is rectangular. Let's define:

x = the width,  y= the length

And we know that the perimeter is given by:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in [/tex]

And the width for this case would be 15.8 in

Which is the best reason why 4 5/6+2 4/6 not equal to eight

Answers

Answer:

I want brainliest >:)

Step-by-step explanation:

4 5/6 + 2 4/6 = 6 9/6 = 7 3/6 = 7 1/2 or 7.5

not 8!!!

Other Questions
which might be an effect of hepatits Putting more effort and time into researching a paper to get a high grade is known asinitiationincentive.intensityinspiration Might a teenager growing up in Kenya in the 1950s have had a different view? Explain Which statement best evaluates the evidence in this excerpt?The author uses verifiable facts and expert testimony to support her argument effectively, but the excerpt would be stronger if she deleted references to a past protest.The author uses specific data, reasons, and quotations to support her argument effectively, but the excerpt would be stronger if she included eyewitness testimony or personal stories. The author uses quotations and data about historical instances to support her argument effectively, but the excerpt would be stronger if she included more verifiable facts.The author uses eyewitness testimony and personal stories to support her argument, but the argument would be stronger if she deleted the quotations from experts. Solve the following:a)3x + 4 /2 = 9.57 + 2x /3 = 5b) Why is fusion not used to generate electrical power ? summary of the battle of gettysburg Eclipses of the sun and moon are best explained by which of the following?The irregular shape of the orbits of Earth and the moonThe rotation of Earth and the moon on their axisThe revolution of Earth and the moon around the sunThe different chemical compositions of the sun and the moon Maria has just completed a watercolor painting. Which action should she avoid?A. Allow the painting to dry for a long time.B. Keep vans of turpentine or chemicals in the same room.C. Set the painting on an easel for display.D. Expose the painting to natural light for a long time. Did Julio verify the solution?O No. He substituted 4 and -2 for the wrongvariables.O No. He did not check the point in the secondequationO No. He simplified the equation incorrectly.Yes. He verified that (4, -2) is a solution to thesystem of equations.ASAP There are two types of artificial intelligence, ANI and AGI. What are the main differences between ani and agi? The Environmental Policy Act of 1969 was instituted as a follow up regulation to major environmental issues that occurred inthe 1960's.Please select the best answer from the choices providedT f Help with this, don't even DARE waste my time just to get the points. (sry im upset bc someone just did that) HELP ME PLEASE!!I don't understand the question...If possible, please explain! meg mixes 3 parts silver paint with 4 parts green paint to get a specific color. Is the ratio 5:6 equivalent to 3:4?Yes, because both ratios show a pair of numbers that have a difference of 1.Yes, because any combination of silver and green will work.No, because the numbers in the given ratio must be multiplied by the same number.No, because there cannot be more than 4 green parts. Which of the following represents a Pythagorean Triple?.3.4.6B. 5, 12, 15C.6.8.10D.12, 18,30 Marta y yo vamos al parque. Choose the correct translation. *A) Marta and you go to the park.B) Marta and I we to the park.C) Marta and I, we go to the park. Favorite bands from the 1990s and songs from them. Why did you enjoy the music? What are your takeaways from this band how much force is needed to accelerate a space shuttle 15 m/s2 with a mass of 2,030,000? Which multimedia and interactive elements do you think would best support your viewpoint on the topic you chose for your blog? Write two to four sentences explaining what multimedia and interactivity you will use and why.