The volume of a cylinder is 4,320(pi) ft?. The diameter is 24 ft. What is the height of the cylinder?
30 ft
7.5 ft
12 ft
Answers
ANSWER
the height is 30 ft
Related Questions
Martina is currently 12 years older than her cousin Joey. In 4 years she will be 3 times as old as Joey. Use this information to answer the following questions.
Step 1 out of 6:
Analyze Information
The goal is to find Martina's age and Joey's age.
Formulate a Plan
Use an equation to find Martina's age and Joey's age.
Solve
Write the equation 3(x + 4) = x + _____, where x is Joey's age.
Answers
Joey is 2 years old now and Martina is 16 years old now.
Explanation:
You are comparing the ages of two people and at two different periods of time - the present and in 5 years time.
Let the present age of the younger cousin (Joey) be
x
years.
Martina is 14 years older now. Her age is
(
x
+
14
)
years
In 5 years time , they will both be 5 years older than they are now:
Joey will be
x
+
5
and
Martina will be
(
x
+
14
)
+
5
=
x
+
19
Joey's age, times 3, will be equal to Martina's age....
3
×
(
x
+
5
)
=
x
+
19
←
solve the equation
3
x
+
15
=
x
+
19
2
x
=
19
−
15
2
x
=
4
x
=
2
←
Joey is 2 years old now
Check: Joey is 2 and Martina is 2+14 = 16
In 5 years time: Joey will be 7 and Martina will be 21.
3
×
7
=
21
11. A scuba diver's elevation changed by -123 feet every minute. This was
1½ times the rate of change for a second scuba diver. What was the rate of
change in elevation of the second scuba diver in feet per minute?
Answers
Answer:
The rate of change in elevation for the second scuba diver is -82 feet per minute.
Step-by-step explanation:
-123 feet every minute.
1.5x more than 2nd diver.
-123/1.5 = 2nd diver rate
2nd diver rate = -82
The rate of change in elevation of the second scuba diver in feet per minute is -82 feet per second.
Given that, a scuba diver's elevation changed by -123 feet every minute.
What is constant rate of change?When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.
1½=1.5 times the rate of change for a second scuba diver
Now, rate of change in elevation of the second scuba diver
= -123/1.5
= -82 feet per second
Hence, the rate of change in elevation of the second scuba diver in feet per minute is -82 feet per second.
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How many different variables are in the expression 8r-1+9r-2(q-1)+11 ? Name each variable
Answers
Answer: there is 2 different variables r and q
Step-by-step explanation:
In 2020, Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres. Researchers expect deforestation to cause the area of Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade. In what year do they expect the areas of the forests to be the same?
Answers
Answer:
In about 2073, 3440 acres
Step-by-step explanation:
Determine the equation for each forest. Forest A: y=-105x+4000 Forest B: y=-30x+3600There are a number of ways to solve a system of equations, but for this we are first going to solve for x when -105x+4000=-30x+3600. In this case, x=5 1/3.Then, we are going to plug 5 1/3 in as x into one of our equations. To double check you have this right, you may do both. If our equation is y=-30(5 1/3)+3600, then y=3440.Add 5 1/3 decades or about 53 years to 2020.Therefore, they expect the area of the forests to be the same in about 2073. At this time, both will have an area of about 3440 acres.
In 2073 the areas of the forests to be the same.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres.
If Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade.
let the number of decades occur be x
So, the equation is
4000 - 105x= 3600 - 30x
400 = 75 x
x= 5.33
x= 53.3 years
Hence, In 2073 the areas of the forests to be the same.
Learn more about equation here:
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help me out 5/8 ÷6=
Answers
When you do this equation the answer you receive is 5/48 because of this
GIVING BRAINLIEST FOR BEST ANSWER!
Write a story that could represent this math problem.
Answers
Answer:
Step-by-step explanation:
Mark had a chocolate candy bar his friend amy took 14 peices so now mark only has 6 peices left your welcome
Help!!!!
Mrs. Jones wants to paint the back wall of her classroom light blue. If the dimensions of the wall is 20 feet by 12 feet, how much paint will she need to paint her classroom wall? Round to the nearest tenth if necessary.
Answers
Answer:
The total area of the back classroom wall is (20ft x 12ft) = 240ft²
The paint coverage is usually rated by area coverage. For example, one gallon of paint is expected to cover 400 ft².
Assuming a gallon of paint will cover 400ft², she will need (240ft²/400ft²) = 0.6 gallon of paint to cover the entire wall.
Mrs. Jones will need 0.6 gallon of paint to paint the back classroom wall.
I need help pls. Ill give brainliest (60 points for question)
Answers
Answer:
C
Step-by-step explanation:
the total is 60 answers, and Shane answered 42 correctly so 42 of 60 is C. 70%
Mickey spent 3 1/4 hours practicing his trumpet. He needs to spend 5 1/2 hours to receive an A in band. How many more hours does Mickey need to spend practicing his trumpet?
Please try to give me a step by step explanation ^_^
Answers
Answer:
2 \(\frac{1}{4}\)
Step-by-step explanation:
5 1/2 - 3 1/4
1/2 is the same as 2/4
5 \(\frac{2}{4}\) - 3 \(\frac{1}{4}\) = 2 \(\frac{1}{4}\)
Answer: 2 1/4
Step-by-step explanation: 5 1/2 - 3 1/4
5 1/2 = 5 2/4
5 2/4 - 3 1/4 = 2 1/4 So Mickey needs to spend 2 1/4 more hours on his trumpet.
this is what my pfp means pt1 go to my acc to find pt2
1:in school
2:home for school
3:being yur mom
4:sleeping
5:watching tv
Answers
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
Q.2 - The graph shows the number of paintballs a machine launches, y, in x seconds:
Which expression can be used to calculate the rate per second at which the machine launches the balls?
Answers
Answer:
c
Step-by-step explanation:
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
A theater company has raised $810.75 by selling 15 floor seat tickets. Each ticket costs the same.
Part A: Write an equation with a variable that can be solved to correctly find the price of each ticket. Explain how you created this equation. (5 points)
Part B: Solve your equation in Part A to find the price of each floor seat ticket. How do you know your solution is correct? (5 points)
Answers
Let's assume the price of each floor seat ticket is represented by the variable 'x'.
Since the theater company has raised $810.75 by selling 15 floor seat tickets, we can create an equation using the concept of total revenue. The total revenue is calculated by multiplying the price of each ticket by the number of tickets sold.
Therefore, the equation can be written as:
15x = 810.75
In this equation, '15x' represents the total revenue from selling 15 tickets at the price of 'x' per ticket, and '810.75' represents the total amount of money raised.
Part B:
To solve the equation 15x = 810.75, we need to isolate the variable 'x' on one side of the equation.
Dividing both sides of the equation by 15, we have:
x = 810.75 / 15
Evaluating the division, we find:
x ≈ 54.05
Therefore, the price of each floor seat ticket is approximately $54.05.
To confirm the solution, we can substitute the value of 'x' back into the original equation:
15 * 54.05 ≈ 810.75
This equation holds true, as the left side is approximately equal to the right side. Hence, we can conclude that the solution is correct.
I hope this helps! :)
Part A: 15x= $810.75. Part B: x= $54.05
The total money earned from 15 tickets is $810.75.
Assume, the money earned from selling 1 ticket is $x.
Therefore, the money earned from selling 15 tickets= 15*x= 15x= $810.75
Here, the variable, i.e. the changing value, is x which is the price of each ticket. The equation hence derived is 15x= $810.75.
Using the equation above,
15x= $810.75.
Dividing both sides by 15,
We get,
x= $54.05
Hence, $54.05 is the price of each ticket.
To learn more about linear equations with single variable:
https://brainly.com/question/28555579
Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.
What is the area Molly needs to paint? Follow the steps to solve this problem.
1. Which surface is shared by the two solids? What are the dimensions of this surface?
The surface that is shared by the two solids is the top of the cube that is the same as the square base of the pyramid.
2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.
She doesn't need to paint the bottom because you cant see the bottom.
3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:
Circle the correct answer.
twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square
4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.
Answers
Answer:
Step-by-step explanation:
Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) The dimensions of this surface are 6 in x 6 in
Part 3) Molly needs to paint 228 square inches
The picture of the question in the attached figure
Part 1) Which surface is shared by the two solids?
we know that
The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches
so
The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that
The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids
so
therefore
Molly needs to paint 228 square inches
what is the maximum number of 14 pound turkeys that can be purchased with the money donated while still purchasing 100 total turkeys? 10 pound turkeys cost 9.25 and 14 pound turkey cost 12.75. Money limit is $1000.
Answers
Answer:
64.05$
Step-by-step explanation:
Marie is saving money for home repairs. To date, she has saved $1,438. She needs at least $1,828 for the repairs. She plans to set aside $39 per week to add to her current savings. If this situation is modeled by the inequality below, how many more weeks, x, does she need to continue saving in order to have enough money for the repairs? $1,438 + $39x > $1,828 A. x > 84 B. x > 23 C. x > 10 D. x > 29
Answers
Answer:
c
Step-by-step explanation:
1828-1438=390
390÷39=10
hey can you help? please
Answers
Uhm help please NO LINKS
Answers
Answer:
help on what ?
Step-by-step explanation:
The street fair charges an admission price of $5 per person. In the first hour, one gate admitted 10 people. In the second hour, the gate admitted 20 people. How much money did the this particular gate collect in the first two hours of the street fair?
A. $150
B. $110
C. $70
D. $50
Answers
If you take 10 x 5 = 50 for the first hour and then 20 x 5= 100 for the second hour and you add them together (50+150) you will get a sum of 150
The tires on Jasmine's bicycle have a circumference of about 70.4 inches. Find the approximate diameter of each tire. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answers
Answer:
The approximate diameter of each tire on Jasmine's bicycle can be calculated by dividing the circumference by π (pi). Using the given circumference of 70.4 inches and rounding π to 3.14, the calculation would be as follows:Diameter = Circumference / π
Diameter = 70.4 / 3.14
Diameter ≈ 22.45 inches (rounded to the nearest hundredth)So, the approximate diameter of each tire on Jasmine's bicycle is 22.45 inches.
The approximate diameter of each tire is 22.42 inches.
What is the diameter of the tires on Jasmine's bicycle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr
or
C = πd
Where r is radius, d is diameter, and π is constant pi ( π = 3.14 )
Rearrange this formula to solve for the diameter:
C = πd
d = C/π
Substituting the given value of the circumference, we have:
d = 70.4/3.14
d = 22.42 in
Therefore, the diameter is 22.42 in.
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please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
I need some help please
Answers
Cross multiply
720800/7.208x
X=720800/7.208
X= 100,000
B. 720800/x=72.08
720800/72.08x
X=10,000
C. 720800/x=720.8
720800/720.8x
X=7208000/720.8
X=1000
The direct answer for the question is;
A. =100000
B. =10000
C. =1000
Wich one is it the one in orange is 1 the one under it is 2 the one beside it is 3 and the one under 3 is 4 plz this is due at 2:00
Answers
Answer:
Step-by-step explanation:
4: by adding 4 to the x-value
Answer:
Its 4
Step-by-step explanation:
If u add 4 to each x value you get y
please help me with this question.
Answers
Explanation: Combine multiplied terms into a single fraction
Subtract 3 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
End Up With -52/15
Turn into a equivalent fraction
End Up With -3 4/15
In a garden, 2/3 of the flowers are roses. Of the roses in the garden, 5/12 are yellow and the rest are red. What fraction of the flowers are red roses?
Answers
because 5/12 are yellow, the rest would be red. so 7/12. but total roses are only 2/3 of the whole garden.
tip: when you see "of" in a fraction problem, it means you can multiply them.
so, 7/12 OF 2/3 is just (7/12) * (2/3).
multiplying straight across and simplifying will get you to 7/18!
Can somebody answer these 2 questions, please
Answers
Answer:
1. 30 cm^2
2. 40 cm^2
Step-by-step explanation:
Area = b * h for a parallelogram
Please help! Thank you!
Answers
Answer:
525
Step-by-step explanation:
If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525
-2m^3 n^2t to the power of 4
Answers
here it is in picture form to help.
explanation:
Negative number raised to an even power is positive
For example let's look at (-7)6 , where (-7) , a negative number, is raised to 6 , an even exponent :
(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)
Now, using the rule that says minus times minus is plus, (-7)6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 76 which is positive.
We proved that (-7)6 is equal to (7)6 which is a positive number
Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved
2.2 m3 raised to the 4 th power = m( 3 * 4 ) = m12
2.3 n2 raised to the 4 th power = n( 2 * 4 ) = n8
how did they get this answer? please help!
Answers
Answer:
The formula for calculating speed is:
S (speed) = D (distance) *divided by* T (time)
or just simply without labels:
S=D/T
In the problem u'r doing 9/4 (hope i see it correct) represents D, 1/2 represents T, and 4.5 represents S
Hope this helps)