Question

What denominator for 21 over 3 = 49 over ? would make these ratios proportional?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To make the ratios proportional, we need the same denominator for both fractions.

The denominator in the first fraction is 3.
To find the denominator in the second fraction, we can set up a proportion:
21/3 = 49/x
Cross-multiplying, we get 21x = 3 * 49
21x = 147
Dividing both sides by 21, we find x = 7.
Therefore, the denominator that would make the ratios proportional is 7.

Answer 2

Nigel is selling candy bars for his outdoor club. He is averaging 4 bars every 3 days. If he continues at this rate, how many days will it take to sell his box of 36? Your answer should be a whole number.

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the number of days it will take Nigel to sell his box of 36 candy bars, we can set up a proportion.

Nigel is selling 4 candy bars every 3 days. Let x represent the number of days it will take to sell 36 candy bars.

We can set up the following proportion:

4/3 = 36/x

To isolate x, we can cross-multiply the equation:

4x = 3 * 36

Simplifying:

4x = 108

Now, divide both sides of the equation by 4 to solve for x:

x = 108/4

x = 27

Therefore, it will take Nigel 27 days to sell his box of 36 candy bars.

Answer 4

Boston makes 13 pizzas every 2 hours. How many hours would it take to make 182 pizzas?

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the number of hours it would take to make 182 pizzas, we can set up a proportion.

Boston makes 13 pizzas every 2 hours. Let x represent the number of hours it would take to make 182 pizzas.

We can set up the following proportion:

13/2 = 182/x

To isolate x, we can cross-multiply the equation:

13x = 2 * 182

Simplifying:

13x = 364

Now, divide both sides of the equation by 13 to solve for x:

x = 364/13

x ≈ 28

Therefore, it would take approximately 28 hours for Boston to make 182 pizzas.

Answer 6

Clay was paid $42 for 5 hours of babysitting. What is his hourly pay? Answer must include 2 decimal places.

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find Clay's hourly pay, we can divide the total amount he was paid by the number of hours he babysat.

Clay was paid $42 for 5 hours of babysitting, so we can set up the following equation:

Hourly pay = Total amount paid / Number of hours

Hourly pay = $42 / 5

Simplifying the division:

Hourly pay = $8.40

Therefore, Clay's hourly pay is $8.40, which includes 2 decimal places.

Answer 8

Over the past 4 hours, 7 inches of snow has fallen. How many total inches will fall over the next 24 hours if the pace continues?

Answer 9

[AI-generated answer — Bot GPT 3.5]

To determine the total amount of snow that will fall over the next 24 hours, we need to find the rate at which snow is falling per hour, and then multiply that rate by the number of hours.

Over the past 4 hours, 7 inches of snow has fallen. To find the rate of snowfall in inches per hour, we divide the total amount of snowfall by the number of hours:

Rate of snowfall = Total snowfall / Number of hours
Rate of snowfall = 7 inches / 4 hours

Simplifying the division:
Rate of snowfall = 1.75 inches per hour

Now, to find the total amount of snow that will fall over the next 24 hours, we multiply the rate of snowfall by the number of hours:

Total snowfall = Rate of snowfall * Number of hours
Total snowfall = 1.75 inches per hour * 24 hours

Calculating the multiplication:
Total snowfall = 42 inches

Therefore, if the pace continues, a total of 42 inches of snow will fall over the next 24 hours.