Question

The diameter of a circle measures 20m . What is the circumference of the circle?

Use 3.14 for pie, and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The circumference of a circle can be found by multiplying the diameter by π (pi).

Circumference = Diameter x π

Given that the diameter of the circle is 20m, we can substitute this value into the formula:

Circumference = 20m x 3.14

Therefore, the circumference of the circle is 62.8m (rounded to the nearest tenth).

Answer 2

write 13 and 7 over 16 as a decimal

Answer 3

[AI-generated answer — Bot GPT 3.5]

To write 13 and 7/16 as a decimal, we total the whole number and the fraction.

13 + 7/16

First, multiply the denominator (16) by the whole number (13) and add the numerator (7) to get the total numerator:

16 * 13 + 7 = 208 + 7 = 215

Now, divide the total numerator (215) by the denominator (16):

215 / 16 = 13.4375

So, 13 and 7/16 can be written as 13.4375 in decimal form.

Answer 4

Each of 8 students reported the number of movies they saw in the past year. This is what they reported.

15, 7, 11, 16, 9, 4, 18, 7
Find the mean and median number of movies that the students saw.
If necessary, round your answers to the nearest tenth.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the mean, we need to add up all the numbers and divide by the total number of students (8).

Mean = (15 + 7 + 11 + 16 + 9 + 4 + 18 + 7) / 8 = 87 / 8 = 10.875

Therefore, the mean number of movies that the students saw is 10.9 (rounded to the nearest tenth).

To find the median, we need to arrange the numbers in ascending order:

4, 7, 7, 9, 11, 15, 16, 18

Since the total number of students is even, we find the middle two numbers and calculate the average.

Median = (9 + 11) / 2 = 20 / 2 = 10

Therefore, the median number of movies that the students saw is 10.

Answer 6

Maya got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 11 cents per yard. If after that purchase there was $25.27 left on the card, how many yards of ribbon did Maya buy?

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find out how many yards of ribbon Maya bought, we need to calculate the difference between the initial balance on the card and the remaining balance after her purchase.

Initial Balance = $30
Remaining Balance = $25.27

Let's find the difference:

$30 - $25.27 = $4.73

This $4.73 represents the cost of the ribbon she bought. Since the ribbon was priced at 11 cents per yard, we can divide $4.73 by $0.11 to find the number of yards Maya bought.

$4.73 / $0.11 = 43

Therefore, Maya bought 43 yards of ribbon.