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koban [17]
3 years ago
5

A circular merry-go-round has a radius of 5 feet. Find the distance of a spin of one full rotation. Use 3.14 for pi and round th

e answer to nearest tenths. *
A 15.7 ft
B 78.5 ft
C 31.4 ft
D 28 ft
Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Option C

The distance of a spin of one full rotation is 31.4 feet

<em><u>Solution:</u></em>

Given that,

A circular merry-go-round has a radius of 5 feet

Radius = 5 feet

We have to find the distance of spin for one full rotation

Distance covered in 1 full of rotation is equal to circumference of circle

<em><u>The circumference of circle is given as:</u></em>

C = 2 \pi r

Where "r" is the radius

C = 2 \times 3.14 \times 5\\\\C = 6.28 \times 5\\\\C = 31.4

Thus the distance of a spin of one full rotation is 31.4 feet

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The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $620
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Answer:

Step-by-step explanation:

Let x represent the number of units of games sold.

The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be

0.9 × x = 0.9x

The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be

1.69 × x = 1.69x

The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be

C = 6200 + 0.9x

Profit = Revenue - total cost

Therefore,

Profit = 1.69x - (6200 + 0.9x)

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2 years ago
Solve the equation below for x.<br> x – 15.2 = 76
Amanda [17]

Answer:

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Step-by-step explanation:

add to both sides 15.2 so 76+15.2=91.2

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2 years ago
Isabel began training for a marathon by running 63 miles during her first week. Each week, she increased the distance she ran by
Ulleksa [173]

Answer:

10% of 63 is 6.3 so 63+6.3=69.3

Step-by-step explanation:

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A strand of bacteria has a doubling time of 15 minutes. If the population starts with 10 organisms, how long would it take for t
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In 90 minutes the population to grow to 700 organisms.

Given that,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

We have to determine,

How long would it take for the population to grow to 700 organisms?

According to the question,

A strand of bacteria has a doubling time of 15 minutes.

If the population starts with 10 organisms.

In 15 minutes strand of bacteria has a doubling time the population starts with 10 organisms.

\rm = 10 \times 2 = 20 \ bacteria

In 15 minutes 20 bacteria for the population to grow.

In 30 minutes strand of bacteria has a doubling time the population starts with 20 organisms.

\rm = 20 \times 2 = 40 \ bacteria

In 30 minutes 40 bacteria for the population to grow.

In 45 minutes strand of bacteria has a doubling time the population starts with 40 organisms.

\rm = 40 \times 2 = 80 \ bacteria

In 45 minutes 80 bacteria for the population to grow.

In 60 minutes strand of bacteria has a doubling time the population starts with 80 organisms.

\rm = 80 \times 2 = 160 \ bacteria

In 60 minutes 160 bacteria for the population to grow.

In 75 minutes strand of bacteria has a doubling time the population starts with 160 organisms.

\rm = 160 \times 2 = 320 \ bacteria

In 75 minutes 320 bacteria for the population to grow.

In 90 minutes strand of bacteria has a doubling time the population starts with 320 organisms.

\rm = 320 \times 2 = 640 \ bacteria

In 90 minutes 640 bacteria for the population to grow.

In 120 minutes strand of bacteria has a doubling time the population starts with 640 organisms.

\rm = 640 \times 2 = 1280 \ bacteria

In 120 minutes 1280 bacteria for the population to grow.

Hence, In 90 minutes the population to grow to 700 organisms.

For more details refer to the link given below.

brainly.com/question/3188472

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Answer:

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mean: 11.31

median: 9

mode: none

range: 26

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mode: none

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Step-by-step explanation:

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