Pete and Marsha are going to buy a swimming pool. Mike wants a rectangular one that is 18 feet wide, 20 feet long, and 6 feet deep, and Marsha wants a circle shaped pool that is 20 feet across and 6 feet deep. They decide to buy the pool that cost less to fill. If the price of water is 25 cents per cubic foot, which pool do they buy and how much does it cost?

Answers

Answer 1

Answer:

The pool that they buy is the circular pool which Marsha wants

The cost of the circular pool is $471.25

Step-by-step explanation:

The parameters of the swimming pools which each of Pete and Marsha wants to buy is given as follows;

The dimensions of the pool Pete wants = 18 feet wide, 20 feet long and 6 feet deep

The dimensions of the circle shaped pool Marsha wants = 20 feet across and 6 feet deep

The price of water, P = 25 cents per cubic foot

The pool they decide to buy = The pool that costs less to fill

The volume of water to fill the pool Pete wants, V₁ = 18 ft. × 20 ft. × 6 ft. = 2,160 ft.³

The cost of filling the pool Pete wants, C₁ = V₁ × P

∴ C₁ = 2,160 ft.³ × 25cents/ft.³ = 54,000 cents = 540 Dollars

The volume of water to fill the pool Marsha wants, V₂ = π·(20 ft.)²/4 × 6 ft. ≈ 1,884.96 ft.³

The cost of filling the pool Marsha wants, C₁ = V₁ × P

∴ C₁ ≈ 1,884.96 ft.³ × 25 cents/ft.³ ≈ 47,124 cents = 471.24 Dollars

The pool that they buy is the circular pool that Marsha wants and it costs $471.24 to fill


Related Questions

Work out the volume of the cone, giving your answer
to 3 significant figures.

Answers

Answer:

V =  1010 sq cm.  to 3 significant figures

Step-by-step explanation:

V = [tex]\frac{1}{3} pi 8^{2} (15)[/tex]

   = [tex]\frac{\pi 64(15)}{3}[/tex]

   =  1005.309649,,,

V =  1010 sq cm.  to 3 significant figures

write an expression to show the sum of x and y.

Answers

Answer:

[tex] \boxed{ \tt{x + y}}[/tex]

A ticket to the state fair cost $15. The equation y=15x relates the total cost of tickets (y) to the number of tickets purchased (x). Identify the unit rate in the equation.

Answers

Answer:

15

.

Step-by-step explanation:

Ticket cost = $15

Cost equation :

y = 15x

x = number of tickets purchased

y = total cost of x tickets

The unit rate in the equation is the Coefficient of x ; which is the sales price of one ticket.

Hence, the unit rate is $15

1. What is the slope of the graph below?

Answers

Answer:

Step-by-step explanation:

2/3

During a sprint, a basketball player is traveling at +3 m/s. Four seconds later, the player is traveling at –5 m/s. The average acceleration of the basketball player over the last 4 seconds is:

Answers

Answer:

the average acceleration of the basketball player over the last 4 seconds is 0.5 m/sec^2

Step-by-step explanation:

The computation of the average acceleration is shown below:

= Change in velocity ÷ change in time

= 5 - 3 ÷ 4

= 2 ÷ 4

= 0.5 m/sec ^2

Hence, the average acceleration of the basketball player over the last 4 seconds is 0.5 m/sec^2

What is m D?
mZD =
PLZZZ help

Answers

Answer:

Angle D is 63

Step-by-step explanation:

oAngle B is congruent and correponding to angle D

Angle B is 63 degrees

so therefore, angle D is also 63 degrees

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D

-Lil G

1/4 of 6 feet is how many inches​

Answers

Answer:

18 inches

Step-by-step explanation:

1 ft = 12 in

6 ft = ? in

Set up an equation to convert 6 feet into inches

Variable x = number of inches

1 ft/12 in = 6ft/x in

Cross multiply (feel free to ignore units for now so it doesn't get in the way of your calculations)

1 × x = 12 × 6

1x = 72

x = 72 inches

6 feet = 72 inches so replace 6 feet with 72 inches

Now let's find 1/4 of 72 inches

Set up another equation to solve

Variable y = a fourth of seventy two inches

1/4 = y/72

Cross multiply

1 × 72 = 4 × y

72 = 4y

Divide both sides by 4 to isolate variable y

72 ÷ 4 = 4y ÷ 4

18 = 1y

18 = y

Answer:

I know I already said this but

18 inches

Step-by-step explanation:

:)) have a great day!

HELP PLEASE I WILL
MARK BRAINLIEST

Answers

X=2
X=-6
The answer is A

Answer:

a).  2 and -6

your welcome!!!

Solve each of these equations.

1. 2(x+5)=3x+1

2. 3y−4=6−2y

3. 3(n+2)=9(6−n)

Answers

Answer:

1. x=9

2. y=2

3. n=4

hello just helping out!

PLEASE EXPLAIN THIS 6th GRADE MATH

Answers

Answer:

[tex]b = l\times w[/tex] to guarantee that both formulas are the same.

Step-by-step explanation:

Dimensionally speaking, the volume is the cube of length. By direct comparison, we find that [tex]l,w,h[/tex] have length units, whereas [tex]b[/tex] have area unit, that is, the square of length.

Hence, [tex]b = l\times w[/tex] to guarantee that both formulas are the same.

If BE=9cm, find GE
What is the answer

Answers

Answer:

GE = 3 cm

Step-by-step explanation:

BE = 9 cm

Since G is the centroid, therefore:

[tex] GE = \frac{1}{3}(BE) [/tex] => Centroid theorem

Plug in the value

[tex] GE = \frac{1}{3}(9) [/tex]

GE = 3 cm

Please do a step by step so that i can show work.

Answers

Answer:

See this attachment...

A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?

Answers

A= 50. 2.5+10= 12.5/2= 6.25x8= 50

Answer: 50 inches

Step-by-step explanation:

The population of a town was 489 in 1970. The population has been growing at a rate of 23 percent each year. What is the population of the town in the year 1995

Answers

Answer:

86,484

Step-by-step explanation:

The population growth can de determined by using this formula

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value = 489  

R = interest rate 23

N = number of years =1995 - 1970 = 25

489 x ( 1.23)^25 = 86,484

What is the simplified form of this expression? `sqrt(8x^3 + 24x^2 + 18x)` A. ±(2x + 3)`sqrt(2x)` B. ±(4x + 6) `sqrt(2x)` C. ±(2x + 3)`sqrt(x)` D. ±(4x + 6)`sqrt(x)`

Answers

Answer: B

`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`

please help i cant seem to figure this out

Answers

Answer:

117649

Step-by-step explanation:

7 to the power of 2 is 49 then bc its in () do 49 to the power of 3 = 117649

Find the value of x in the rectangle ABCD.

Answers

Answer:

52°

Step-by-step explanation:

here's your solution

=> we know that the measure of angle of rectangle is 90°

=> 38° + X = 90°

=> X = 90° - 38°

=> X = 52°

hope it helps

Answer:

52 because D is a right angle,so 90 - 38 will give you 32

another interesting thing that can help you in math, the opposite sides if a quad are always equal, in this case D and B is equal,and C and A is equal.If you add C and a it will give you 180 degrees and if you add d and b it will give you 180 degrees

so 180 + 180

Please help me with this. (show work.)

Answers

GCF: greatest common factor of any two (or more) numbers

Top left:

GCF of 24 and 60: 12

Top right:

GCF of 12 and 18: 6

Bottom left:

GCF of 18 and 42: 6

Right left:

GCF of 30 and 72: 6

what dose -0.1c = -10 equal

Answers

C=100

-10/-0.1= 100
C=100

Milo wants to make guacamole for a party. Avocados are on sale for 89 cents each.
How many avocados can Milo buy
he has $3.74?

Answers

Answer:

4 avocados

Step-by-step explanation:

$3.74/$0.89 = 4.2, but you can't have 4.2 avocados so you round down to 4

4 avocados it is a step by step equation

q/19 < 4

pls be correct if you type it !!!!

Answers

Answer:

q<76

Step-by-step explanation:

hope this is the answer you were looking for!

Ximena just accepted a job at a new company where she will make an annual salary

of $50000. Ximena was told that for each year she stays with the company, she will

be given a salary raise of $3000. How much would Ximena make as a salary after 5

years working for the company? What would be her salary after t years?

Answers

Answer:

65,000

Step-by-step explanation:

3000 x 5 = $15,000

15,000 + 50,000 = 65,000

Answer:

$65000

50,000 + 3,000t

Step-by-step explanation:

Daniel purchases a cell phone plan from Best Mobile. She pays $50 plus $0.10 for each text message she sends. Danielle's bill was $70 for the first month. Which equation shows how to find m, the number of text messages Danielle sent in the first month?

Answers

Answer:

h is the correct answer

Step-by-step explanation:

please mark me brainliest

A total of 629 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult
tickets. How many adult tickets were sold?

Answers

Answer:

350 adult tickets were sold.

Step-by-step explanation:

let x = number of adult tickets

number of student tickets -> x-71

x - 71 + x = 629

2x - 71 = 629

2x = 700

x = 350

Apply the distributive property to factor out the greatest common factor.
24 + 18+ =

Answers

Answer:

42

Step-by-step explanation:

there is no parenthesis so all that is left is to add the 2 numbers together

Answer:

That's wrong this is the answer Factor 6 out of 24 + 18 t .

the answer would be : 6 ( 4 + 3 t )

Step-by-step explanation:

help, please!!! I will mark brainlisit

Answers

Answer:

I beleve the answer is 112/350  and x/100

I'm not sure how to find the percent (sorry) but I hope this helps :)

A store advertises 15% off an item that regularly sells for $300. what is the sale item? how is a 15% discount similar to a 15% decrease? Explain.

Answers

Answer: $255

Step-by-step explanation:

A store advertises 15% off an item which sells for $300. The sale item will then be calculated as:

= $300 - (15% × $300)

= $300 - (0.15 × $300)

= $300 - $45

= $255

The sales price is $255.

A 15% discount is similar to a 15% decrease because in both cases, one has to subtract the value of 15% from the selling price.

Find the missing length to each problem.... (please help me triangle inequality theorem *geometry*)

Answers

Answer:

ML=6,CD=7,AC=12,UW=22

Step-by-step explanation:

21.(2x+20):(x+19)=1:2 // x+19=4x+40 // 3x=-21 // x=-7// ML=2x+20=20-14=6

22.(x-3):(4+x)=1:2 // 4+x=2x-6 // x=10 // CD=x-3=10-3=7

23.(x-1):(x+5)=1:2 // x+5=2x-2 // x=7 // AC=x+5=7+5=12

24.(20+x):(x+31)=1:2 // x+31=40+2x // x=-9 // UW=x+31=-9+31=22

Expand and simplify


(x+4)(2x-1)

Answers

Answer:

2x^2+7x−4

Step-by-step explanation:

View Picture

Mark me Brainliest?

A sugar cone for ice cream is shaped like a cone. If a sugar cone has a slant height of 4 inches and a diameter of 2 inches, what is the lateral surface area of the cone? Use 3.14 for pi. [Hint: Exclude the base.]
A. 18.8 square inches
B. 15.7 square inches
C. 37.7 square inches
D. 12.6 square inches

Answers

Answer:

12.6 sq. inches.

Step-by-step explanation:

I got this right on a test.

Answer:

12.6

Step-by-step explanation:

I got it right on the test

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