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
160 miles
160 miles
18 mile
Start Fraction 1 over 8 End Fraction mile
110 mile
Start Fraction 1 over 10 End Fraction mile
212 miles
To solve this multi-step problem, first, we need to find out how far the runner can go in 1 minute by dividing the distance (5 miles) by the time (8 minutes):
5 miles / 8 minutes = 0.625 miles/minute
Next, we need to figure out how far the runner can go in 16 minutes. To do this, we multiply the distance per minute by the total time:
0.625 miles/minute * 16 minutes = 10 miles
Therefore, the runner can go 10 miles in 16 minutes.
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)
A.160 miles
B.1/8 mile
C.1/10 mile
D.2 1/2 miles
To solve this multi-step problem, we first determine the rate at which the runner completes the race.
The runner completes 14 of a 5-mile race every 8 minutes, so the rate would be:
14 races / 8 minutes = 1.75 races per minute
Next, we determine how many races the runner can complete in 16 minutes by multiplying the rate by the time:
1.75 races/minute * 16 minutes = 28 races
Since each race is 5 miles, to find the total distance the runner can go in 16 minutes, we multiply the number of races by the distance per race:
28 races * 5 miles per race = 140 miles
Therefore, the runner can go 140 miles in 16 minutes.
The correct answer is not provided among the options given (A.160 miles, B.1/8 mile, C.1/10 mile, D.2 1/2 miles). The correct answer should be "140 miles".
wrong try again
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
−80 gallons
−480 gallons
80 gallons
480 gallons
To find the total change in the amount of water in the tank after 6 days, we need to determine the change in the amount of water per day and multiply it by the number of days.
The water tank decreases by 10 gallons every 3 hours, which means it decreases by (10 gallons / 3 hours) * 24 hours = 80 gallons per day.
Therefore, the total change in the amount of water after 6 days is:
80 gallons/day * 6 days = 480 gallons
Therefore, the correct answer is D. 480 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÷4
Start Fraction 1 over 3 End Fraction divided by 150 divided by 4
13×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
13×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
13×150÷14
To find the correct number of calories per serving, we need to multiply the number of containers of yogurt by the calories per container and then divide by the number of servings.
The correct set of calculations would be:
13 containers × 150 calories ÷ 4 servings
Therefore, the correct answer is C. 13×150÷4.
To solve this multi-step problem, we need to find the distance that the runner can go in 16 minutes at the same pace as completing 14 of a 5-mile race every 8 minutes.
First, we can calculate the runner's pace per minute. To do this, we divide the distance completed in 8 minutes (14 miles) by 8:
14 miles / 8 minutes = 1.75 miles per minute
Now, we can determine how far the runner can go in 16 minutes. Since the runner's pace is 1.75 miles per minute, we multiply this pace by the number of minutes:
1.75 miles per minute * 16 minutes = 28 miles
Therefore, the runner can go 28 miles in 16 minutes at the same pace.
Apologies for the incorrect response earlier. Let's solve the problem correctly this time.
The runner completes 14/5 of the race every 8 minutes. To find the distance the runner can go in 1 minute, we divide 14/5 by 8:
(14/5) miles / 8 minutes = 1.75/8 miles per minute
Next, to find the distance the runner can go in 16 minutes, we multiply the distance per minute by the total time:
(1.75/8 miles per minute) * 16 minutes = 3.5 miles
Therefore, the runner can go 3.5 miles in 16 minutes.
The correct answer is D. 3 1/2 miles.