Multiply & Divide Rational Numbers Quick Check
3 of 53 of 5 Items
Question
Solve this multi-step problem. A runner completes 14 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?(1 point)
Responses
18 mile
Start Fraction 1 over 8 End Fraction mile
160 miles
160 miles
110 mile
Start Fraction 1 over 10 End Fraction mile
212 miles
5 answers
The correct answer is: "Start Fraction 1 over 8 End Fraction mile"
A water tank decreases by 10 gallons every 3 hours every day. What is the total change in the amount of water in the tank after 6 days?(1 point)
Responses
480 gallons
480 gallons
80 gallons
80 gallons
−80 gallons
negative 80 gallons
−480 gallons
Responses
480 gallons
480 gallons
80 gallons
80 gallons
−80 gallons
negative 80 gallons
−480 gallons
To find the total change in the amount of water in the tank after 6 days, we need to find the change per day and then multiply it by the number of days.
The tank decreases by 10 gallons every 3 hours, so in one day (which is 24 hours), the tank will decrease by (10/3) * 8 gallons.
So, in 6 days, the tank will decrease by (10/3) * 8 * 6 gallons.
Calculating this, we get:
(10/3) * 8 * 6 = 160 gallons.
Therefore, the correct answer is: "160 gallons".
The tank decreases by 10 gallons every 3 hours, so in one day (which is 24 hours), the tank will decrease by (10/3) * 8 gallons.
So, in 6 days, the tank will decrease by (10/3) * 8 * 6 gallons.
Calculating this, we get:
(10/3) * 8 * 6 = 160 gallons.
Therefore, the correct answer is: "160 gallons".
A recipe calls for 13 of a container of yogurt. Each container of yogurt has 150 calories. The recipe makes 4 servings. Which set of calculations would give the correct number of calories per serving?(1 point)
Responses
13×150÷14
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction
13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
13÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4
13×150÷4
Responses
13×150÷14
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction
13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
13÷150÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4
13×150÷4
To find the correct number of calories per serving, we need to divide the total number of calories (13 containers of yogurt * 150 calories per container) by the number of servings (4 servings).
So, the set of calculations that would give the correct number of calories per serving is:
13 * 150 ÷ 4.
Calculating this, we get:
(13 * 150) ÷ 4 = 487.5 calories per serving.
Therefore, the correct answer is: "13 * 150 ÷ 4".
So, the set of calculations that would give the correct number of calories per serving is:
13 * 150 ÷ 4.
Calculating this, we get:
(13 * 150) ÷ 4 = 487.5 calories per serving.
Therefore, the correct answer is: "13 * 150 ÷ 4".
5 answers