Question

Which ratio is equivalent to 9 over 78

options:

1 over 3

3 over 18

3 over 26

1 over 8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find an equivalent ratio to 9/78, you need to simplify the given ratio.

The greatest common divisor (GCD) of 9 and 78 is 3. Divide both the numerator and denominator by 3:

9 ÷ 3 = 3
78 ÷ 3 = 26

So the simplified ratio is 3/26.

Among the given options, the ratio equivalent to 9/78 is 3 over 26.

Answer 2

Lars purchases a new SUV. The car has a 15-gallon gas tank. If he can drive 330 miles on a full tank of gas, what is the unit rate of miles per gallon of gas?

15 miles per gallon

20 miles per gallon

22 miles per gallon

0.046 miles per gallon

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the unit rate of miles per gallon (mpg), divide the number of miles driven by the number of gallons of gas used.

Given that Lars can drive 330 miles on a full tank of 15 gallons, the unit rate of miles per gallon is:

330 miles ÷ 15 gallons = 22 miles per gallon

Therefore, the unit rate of miles per gallon of gas is 22 miles per gallon. The correct option is 22 miles per gallon.

Answer 4

The amount of money that Sarah earns varies directly with the number of hours worked. If Sarah earns $320 for working 40 hours, determine the constant of proportionality.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To determine the constant of proportionality, divide the amount of money earned by the number of hours worked.

The constant of proportionality (k) is given by:

k = amount earned ÷ number of hours worked

Given that Sarah earns $320 for working 40 hours, the constant of proportionality is:

k = $320 ÷ 40 = $8 per hour

Therefore, the constant of proportionality is $8 per hour.