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bixtya [17]
3 years ago
13

The volume of a cylinder is 4 pi x3 cubic units and its height is x units.

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Answer:

2x

Step-by-step explanation:

The volume of a cylinder, V is given by the formula,

V=\pi r^{2}h

Where, r is the radius and h is the height of the cylinder.

Here, V=4\pi x^{3}, h=x. Plug in these values and solve for radius, r.

This gives,

V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\

Taking square root both sides, we get

\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x

Therefore, the radius of the cylinder can be expressed as 2x.

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A Furniture sales person sells a couch for $1560. She was it a 2.75% commission on the sale of the couch. How much did you earn
Step2247 [10]

The salesperson will receive $42.90. You find this solution by multiplying the decimal form of the percentage (move the decimal point 2 to the left) by 1560.

0.0275 x 1560 = 42.9

Hope this helps! <3


8 0
3 years ago
What is the solution to this system of equations, and what does it mean to the contractor? The solution (0, 20) tells the contra
oksano4ka [1.4K]

The question is incomplete. Here is the complete question:

A contractor has two choices for billing a completed job.

· $500 flat rate, regardless of the number of hours worked

· $20 per hour worked

The graph shows the relationship between pay per hour and number of hours worked for both scenarios.

What is the solution to this system of equations, and what does it mean to the contractor?

A.The solution (0, 20) tells the contractor the minimum amount that can be charged.

B.The solution (0, 500) tells the contractor the maximum amount that can be charged.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Answer:

The graph is attached below.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.

The hourly rate is given as $20.

The solution to the given lines drawn on the graph is the point of intersection of the two curves.

As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.

So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.

Hence, the correct option is (C).

3 0
3 years ago
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kykrilka [37]

The answer is all real numbers for x

because simplifying, you get both sides are equal

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2 years ago
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After we planted flowers in 2/5 of our garden, 24m squared remained unplanted. How many square meters is this garden in total?
Anton [14]

Answer:

60m²

Step-by-step explanation:

24 = 2/5

12 = 1/5

12 × 5 = 60

60 = 5/5

5 0
1 year ago
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Given x less than y, compare the following expressions and determine which is greater: 2x-y;2y-x. Explain your answer
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Let's form the difference of the two expressions and see what we can learn.

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