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
110 mile
Start Fraction 1 over 10 End Fraction mile
212 miles
2 Start Fraction 1 over 2 End Fraction miles
160 miles
160 miles
To solve this problem, we need to figure out how many sets of 14 of a 5-mile race the runner can complete in 16 minutes.
The runner completes 14 sets of a 5-mile race every 8 minutes. We can determine the number of sets completed in 16 minutes by dividing 16 by 8: 16 / 8 = 2.
So, in 16 minutes, the runner can complete 2 sets of a 5-mile race.
To find the total distance the runner can go in 16 minutes, we multiply the number of sets by the distance per set: 2 sets * 5 miles/set = 10 miles.
Therefore, the runner can go 10 miles in 16 minutes.
can it go 1/8 miles?
or 1/10 miles?
or 2 1/2 miles?
or 160 miles?
Apologies for the confusion. Let's go through the calculation again.
The runner completes 14 of a 5-mile race every 8 minutes. To find out how far the runner can go in 16 minutes, we need to determine the rate at which the runner completes the race.
In 8 minutes, the runner completes 14 sets of a 5-mile race. To find the distance the runner covers in 1 minute, we divide both sides of the equation by 8: 14 sets * (5 miles/set) / 8 minutes = 8.75 miles / 8 minutes = 1.09375 miles/minute.
Now, we can find the distance the runner can go in 16 minutes by multiplying the rate per minute by the number of minutes: 1.09375 miles/minute * 16 minutes = 17.5 miles.
Therefore, the runner can go approximately 17.5 miles in 16 minutes.
To clarify, none of the given options (1/8 mile, 1/10 mile, 2 1/2 miles, or 160 miles) are the correct answer.
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
1/8 mile
Start Fraction 1 over 8 End Fraction mile
1/10 mile
Start Fraction 1 over 10 End Fraction mile
2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles
160 miles
160 miles
I apologize for the confusion in my previous response.
The runner completes 14 of a 5-mile race every 8 minutes. To find out how far the runner can go in 16 minutes, we can set up a proportion:
miles completed / minutes taken = miles to be completed / minutes available
Let x represent the distance to be completed in 16 minutes.
Using the information provided, we can set up the proportion:
14 sets of 5 miles / 8 minutes = x miles / 16 minutes
Simplifying the proportion:
(14 * 5) / 8 = x / 16
70 / 8 = x / 16
8x = 70 * 16
8x = 1120
x = 1120 / 8
x = 140
Therefore, the runner can go 140 miles in 16 minutes.
The correct response among the options given is:
140 miles.
give me one of the answers i provided
Apologies for the confusion. One of the answers you provided is "2 1/2 miles."
what is the correct answer out of the answers i provided
Apologies for the confusion. The correct answer out of the answers you provided is "1/8 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
negative 80 gallons
80 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 then multiply it by the number of days.
The water tank decreases by 10 gallons every 3 hours. Since there are 24 hours in a day, we can determine the amount of water that decreases in a day by dividing 24 by 3: 24 hours / 3 hours = 8 sets of 10 gallons.
Therefore, the water tank decreases by 10 gallons * 8 sets = 80 gallons in a day.
To find the total change in the amount of water in 6 days, we multiply the daily change by the number of days: 80 gallons * 6 days = 480 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.
The correct response among the options given is:
480 gallons.
negative or positive?
Apologies for the oversight. Since the water tank is decreasing by 10 gallons every 3 hours, the change in the amount of water in the tank after 6 days would be negative.
The correct response among the options given is:
-480 gallons.
A recipe calls for 1/3 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
1/3×150÷1/4
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction
1/3×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
1/3×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
1/3÷150÷4
To find the correct number of calories per serving, we need to calculate the amount of yogurt required for one serving and then multiply it by the number of calories per container of yogurt.
The recipe calls for 1/3 of a container of yogurt and makes 4 servings. To determine the amount of yogurt per serving, we divide 1/3 by 4: 1/3 ÷ 4 = 1/3 × 1/4 = 1/12.
Next, we multiply the amount of yogurt per serving (1/12) by the number of calories per container (150 calories): 1/12 × 150 = 150/12 = 12.5.
Therefore, the correct set of calculations to find the number of calories per serving is:
1/3 × 150 ÷ 4.