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Dennis_Churaev [7]
3 years ago
5

Circumference of a circle is 14 pi what is the area in square inches express your answer in terms of pie

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer: 49π inches²

Step-by-step explanation:

The formula for the circumference of a circle = 2πr

Since the circumference is 14π, we have to find the radius in order to solve the area.

2πr = 14π

r = 14π/2π

r = 7

Since area = πr²

= π × 7 × 7

= 49π inches²

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Peter has 100 dollars. His mom gives him x dollars more. Write an expression to represent the situation.
denis23 [38]

Answer:

100+x

Step-by-step explanation:

Peter starts out with 100 dollars and then gets X more meaning we have to add X to what he originally had and that looks like this 100+x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

5 0
3 years ago
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Which phrase best describes the graph of a proportional relationship?
Darya [45]
  <span>A relationship that occurs when variable quantities are directly proportional to one another. A linear relationship can be represented on a graph as a  straight line.
</span>
4 0
3 years ago
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Dhanraj spent $204.20 purchasing volleyballs and basketballs.
Lemur [1.5K]

Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3     Eqn 1

8.20x+12.60y=204.20     Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

6 0
3 years ago
Kim and Sam were each given the same pair of numbers. Sam's description of the two numbers was: The larger number is 3 more than
irina1246 [14]

Answer:

Sam's description = 3x+3, Kim's description =  5x-7

Step-by-step explanation:

Given:

Kim and Sam were each given the same pair of numbers.

Sam's description of the two numbers was:

The larger number is 3 more than three times the smaller number.

Kim's description of the two numbers was:

Five times the smaller number decreased by 7 is the larger number.

Question asked:

Which equation represents the situation?

<u>Solution:</u>

Let smaller number = x

According to Sam's description of the two numbers, the equation will be:-

Larger number = 3 more than three times the smaller number

                         = 3x+3\ (eq1)

According to Kim's description of the two numbers was, the equation will be:-

Larger number = Five times  decreased by 7

                         = 5x-7\ (eq2)

By equating  both equation:-

5x-7=3x+3\\ \\ Subtracting\ both\ sides\ by \ 3x\\ \\ 5x-3x-7=3x-3x+3\\ \\ 2x-7=3\\ \\ Adding\ both\ sides\ by\ 7\\ \\ 2x-7+7=3+7\\ \\ 2x=10\\ \\ Dividing\ both\ sides\ by\ 2\\  \\ x=5

Smaller number = x = 5

Larger number = 3\times5+3=15+3=18

Therefore, equations represents the situation are 3x+3 and 5x-7

8 0
3 years ago
Which of the following is an example of parallel lines?
RSB [31]
Answer: C

Explanation: they will never touch
8 0
3 years ago
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