You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?

Answers

Answer 1

Answer:

$5089.38

Step-by-step explanation:

Given cylinder with:

d = 24 ft, h = 6 ft

We need to fill it up to:

h = 6 ft * 3/4 = 4.5 ft

The volume is:

V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)

You need to spend:

2035.75 * $2.50 = $5089.38  (rounded)

Related Questions

5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Answer:

One solution

Step-by-step explanation:

First, organize the equations by moving y to the left hand side:

5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x

3y = 2x + 9 is already done

Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:

2y=6-5x multiply both sides by 3, 6y = 18-15x

3y=2x+9 multiply both sides by 2, 6y = 4x+18

Substitute y on both sides and we get 18-15x=4x+18

Simplify that and you get 19x=0, x equals 0, so there is one solution

Which are the intercepts of the equation y+2=4(x+1) ?

Answers

Answer:

y=2×5

Step-by-step explanation:

sorry if im wrong

It believe is Y=4x+2

A machine takes 15 minutes to scan 1,125 pages. At this rate, how many pages can the machine in a hour?

Answers

Answer:

4500 pages

Step-by-step explanation:

an hour has 60 minutes. This means in 1 hour the machine will scan 60/15 more pages. 60/15 =4.

1125*4 =4500 pages/hour

In one hour the machine will scan 4500 pages.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that a machine takes 15 minutes to scan 1,125 pages.

The machine takes 15 minutes to scan 1,125 pages.

Then, in 1 minute, it will scan (1125/15) = 75 pages.

So, in 1 hour, it will scan -

x = 75 x 60

x = 4500

Therefore, in one hour the machine will scan 4500 pages.

To solve more questions on algebraic expressions, visit the link below -

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#SPJ2

3927283+8093
Help pls

Answers

Answer: 3935376

Step-by-step explanation: 3927283+8093

3935376

The answer when added correctly is 3,935,376

A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 membership fee and $5 for each class. The second program does not have a membership fee, but charges $10 for each class. For how many classes will the programs cost the same? If the variable c represents the number of classes, what is the other variable for the scenario? d, representing the number of dogs in each class h, representing the number of hours p, representing the number of programs t, representing the total cost.

Answers

Answer:

7?

Step-by-step explanation:

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say [tex]t_{1}[/tex], for first program can be written in equation form as,

[tex]t_{1} =35+5c[/tex],  here c is the no. of classes.

Similarly, the total cost say [tex]t_{2}[/tex] , for second program can be written in equation form as,

[tex]t_{2} =10c[/tex].

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

[tex]t_{1} =t_{2}[/tex]

[tex]35+5c=10c\\10c-5c=35\\5c=35\\c=7[/tex]

Hence for 7 of classes the programs cost the same.

For more details follow the link:

https://brainly.com/question/4042361

What is the image point of
(1,4)
(1,4) after a translation left 5 units and down 5 units?

Answers

Answer: (-4, -1)
When solving this equation I took the point given (1,4) and subtracted five units from one and five units from four. The reason being because they are asking you what the translation would be if 1 were to be moved 5 units the left causing it to be negative and moving 4, 5 units down causing it also to be negative because of its direction being moved.
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning from them:)

How many floors have exactly 24 offices?

Answers

Answer:  2

=============================================================

Explanation:

Focus on the first row only. This involves the stem 2 and various leaves. The stem 2 refers to having a tens digit of 2. So it involves the numbers 20 through 29.

More narrowly, we're involving the values: 20, 22, 24, 24, 27, 29. Each value corresponds to exactly one leaf in that first row. For example, a stem of 2 and a leaf of 7 combine to form the number 27. Often, there will be a key at the bottom of the stem-and-leaf plot to indicate this in shorthand (eg: 2|7 means 27).

In that first row, we see the value 24 shows up twice. This means that there are 2 floors where there are 24 offices on those floors.

4x+3y = 22 (slope intercept forma

Answers

Answer:

I am pretty sure it is y=22-4x/3

Step-by-step explanation:

4x+3y=22

(you need to put it in y=mx+b format)

-subtract 4x on both sides-

3y=22-4x

-divide by 3 on both sides-

y=22-4x/3

Not sure if this is correct, but I hope this helps!

Question is on the pic!

Answers

Answer:

C

Step-by-step explanation:

C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.

Answer:

C

Step-by-step explanation:

If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function

X       1        1             2                   3      4

________________________________________________________      

Y      0       3              4              2           6  

this would not be a function because the one is at two different heights.

if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function

What two numbers add to -6 and multiple to 6

Answers

-3 x -3
-3 + -3

there’s ur answer!

Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.


Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
He did not make any errors.
Step 1: He wrote −4.4 incorrectly as + 4.4.
Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.

Answers

Step-by-step explanation: First, you use the PEMDAS method which is parenthese, exponent, multiplication division, addition and subtraction.

So,  there is parenthese, exponent, multiplaction or division.

Now, first you add -8.3 + 9.2= 0.9, then subtract 0.9 by 4.4= -3.5, now add -3.5 + 3.7= 0.2

Use the original problem and use the PEMDAS method.

Hope this helps!!

Pls help will give brainly

Answers

Answer:

y = - 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line

m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = - 2x - 4 ← equation of line

Please Help I will vote Brainliest!
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
StartFraction 25 times 6 Over 100 times 6 EndFraction = StartFraction 150 Over 600 EndFraction
StartFraction 100 times 4 Over 25 times 4 EndFraction = StartFraction 400 Over 100 EndFraction
StartFraction 25 divided by 1 Over 150 divided by 1 EndFraction = StartFraction 25 Over 150 EndFraction
StartFraction 150 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 75 Over 50 EndFraction

Answers

Answer:

x = 600 pages

Step-by-step explanation:

Let the total books pages be x

Given that

Hank had read = 25% of x

25% of x = 150

=>  

Multiplying both sides by 4

=> x = 150 * 4

=> x = 600 pages

Step-by-step explanation:

There you go.

Answer:

C

Step-by-step explanation:

Can someone explain and answer this question please... I'm very unsure. please and thankyou

Answers

Answer:

Step-by-step explanation:

Solve.

−1.3=x−(−13.2)

What is the solution to the equation?

Enter your answer in the box.

x =

Answers

x= -14.5

Step-by-step explanation:

-1.3=x-(-13.2)

the two - signs cross eachother out, making it a +.

making the equation -1.3=x-(-13.2) turn into -1.3=x+13.2.

so you should automatically know your x is going to have to be negative.

What I did:

13.2+1.3=14.5,

but since the 1.3 was actually negative, (-1.3) the 14.5 will turn negative, making it -14.5


Write an equation of the line that passes through (4, -5) and is perpendicular to
the line y = 2x +3

Answers

Hello there!

We are given the equation of the line

y=2x+3

What's the equation of the line perpendicular to it?

Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, make it negative, and flop it over.The slope of the line perpendicular to the given line is -1/2.Now that we have the slope of the line and a point that the line passes through, we can find the equation of the line.Write it in Point-Slope form:y-y1=m(x-x1)y-(-5)=-1/2(x-4)y+5=-1/2(x-4)y+5=-1/2x+2y=-1/2x+2-5y=-1/2x-3

Therefore, this is the equation. Hope it helps. Good luck.

To clarify any doubts, use the comment section.

Answered by

~A lonely teen who helps others joyfully

-Grace

r÷st r = 180, s = 5, t = 4

Answers

Answer:

[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]

Step by step solution:

r ÷ st 180 ÷ 5 × 4180 ÷ 209

g(x) = 3x + 1; Find g(7)

Answers

Answer:

22

Step-by-step explanation:

g(x) = 3x + 1

g(7) = 3(7) + 1

= 21 + 1

= 22

hope this helps! :D

have a miraculous day!! <3

-1.3x=3.9

Solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

The equation is : -1.3x=3.9

We can divide both sides by -1.3

-1.3x/-1.3=-3.9/-1.3

We get

x=-3

Answer:

x =-3

Step-by-step explanation:

divide -1.3 to both sides

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.

Answers

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Recall:

The slope of a line passing across through two points can be calculated using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given two points:

(5,−10) and ( 11 , − 12 )

Let,

[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]

Substitute

[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

https://brainly.com/question/3493733

You have to multiply 7 by 19. Which equation uses the Distributive Property to take this problem apan
A. 7(10 + 9) = 70 + 16
CB B. 7(10 + 9) = 70 + 9
c. 7(10 + 9) = 70 +63
D. 7(10 + 9) = 17 +63

Answers

C) 7(10 + 9) = 70 + 63
Hope this helps!

The graph of a proportional relationship passes through the given point and (1, y). Find y.
Given point: (19, 342)

Answers

Answer: 4/3

Step-by-step explanation:

ASAPPPP HELPPPP PLEASEEEE

Answers

Answer:

27.6

Step-by-step explanation:

sin29=x/57

0.48480962=x/57

x≈27.6

the sum of -7x and 4x+2
pls help

Answers

I think it’s 8 sorry if the answer is wrong

Please answer this question step by step!

No links please.

Whoever gives correct answer will get a thank you aswell.

Answers

Answer:

[tex]x = \frac{3}{2} [/tex]

Step-by-step explanation:

first distribute

[tex] \frac{36x - 9}{2x} = 15[/tex]

next multiply both sides by 2x

[tex]36x - 9 = 15(2x) \\ 36x - 9 = 30x[/tex]

simplify

[tex] - 9 = - 6x[/tex]

divide both sides by -6

[tex] \frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x[/tex]

Write all permutations of the letters E, F, G, and H if the letters F and G must remain between the letters E and H. (Enter your answers as a comma-separated list of four letter combinations. For example, the combination "C,D,E,F" should be entered as CDEF.)

Answers

Answer:

EFGH, HFGE, EGFH, HGFE

Step-by-step explanation:

Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?

Answers

Answer: Start off and multiply 12x30=360

Step-by-step explanation: He will recieve 360$

Juno is taking a taxi. The table represents a linear function and shows the amount she owed after various numbers of miles traveled. Is the rate of change 2. 25? Amount Juno Owed for a Taxi Miles Amount Owed (dollars) 1 2. 5 2 2004. 75 3 7 4 9. 25 5 11. 5 Yes, because the amount owed changes by 1 every time the miles change by 2. 25. Yes, because the amount owed changes by 2. 25 every time the miles change by 1. No, because the amount owed does not change by 1 every time the miles change by 2. 25. No, because the amount owed does not change by 2. 25 every time the miles change by 1.

Answers

Linear functions are represented by constant rates.

The true statement is (d) No, because the amount owed does not change by 2.25 every time the miles change by 1.

From the table, we can see that:

As the number of miles increase by 1, the amount owed increases, but it does not increase at a constant rate of 2.25.

This means that, the table does not represent a linear function.

Represent the linear functions at:

https://brainly.com/question/15602982

If A=2x+10 and B=2x+2 what is the measurement of A

Answers

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

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indentify the range, y=2x + 6

Answers

Because
x
can take any value, the Domain of this equation is the set of all Real Numbers:
{
R
}

Because this is a simple linear transformation, the Range of this equation is also the set of all Real Numbers:
{
R
}
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