Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?
A. 1/10 mile
B. 2 1/2 miles
C. 1/8 mile
D. 160 miles
To find the distance the runner can go in 16 minutes, we can set up a proportion. The runner completes 1/4 of a 5-mile race every 8 minutes, so in 1 minute, the runner would complete 1/8 of a mile.
We can write this as: (1/4 miles) / (8 minutes) = (x miles) / (16 minutes)
Cross multiplying, we get: 8x = 4
Dividing both sides by 8, we find: x = 1/2 mile
Therefore, the runner can go 1/2 mile in 16 minutes.
The correct answer is: B. 2 1/2 miles
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
negative 480 gallons
−80 gallons
negative 80 gallons
480 gallons
480 gallons
80 gallons
To find the total change in the amount of water in the tank after 6 days, we need to calculate the change in the amount of water each day and then multiply it by 6.
The amount of water that decreases each day is 10 gallons every 3 hours. There are 24 hours in a day, so we can find the number of times the water decreases in a day by dividing 24 by 3: 24 / 3 = 8.
Now we can find the amount of water that decreases each day by multiplying the number of times the water decreases (8) by the amount of water that decreases each time (10 gallons): 8 * 10 = 80 gallons.
Finally, we can find the total change in the amount of water after 6 days by multiplying the amount of water that decreases each day (80 gallons) by the number of days (6): 80 * 6 = 480 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.
The correct answer is: 480 gallons.
That is not a negative right?
Apologies for the misunderstanding. In the given problem, the water tank decreases by 10 gallons every 3 hours every day. Since the amount of water is decreasing, the change in the amount of water would be negative.
Therefore, the total change in the amount of water in the tank after 6 days is negative 480 gallons.
The correct answer is: negative 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
1/3×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
1/3×150÷14
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 divided by 150 divided by 4
1/3×150÷4
To find the correct number of calories per serving, we need to calculate the total number of calories in the recipe and then divide it by the number of servings.
The recipe calls for 1/3 of a container of yogurt, and each container has 150 calories. So, the total number of calories used in the recipe would be (1/3) * 150 calories.
Now we need to calculate the number of calories in 4 servings. To do that, we multiply the total number of calories used in the recipe by the number of servings: (1/3) * 150 * 4.
Therefore, the correct set of calculations to find the number of calories per serving is:
1/3 * 150 * 4.
The correct answer is: 1/3×150×4.
Apologies for the confusion earlier. Yes, I am positive that the correct set of calculations to find the number of calories per serving is:
1/3 × 150 × 4.
This calculation will give you the correct number of calories per serving in the recipe. The answer is positive.
I apologize for any confusion caused by the previous response. Thank you for bringing it to my attention.
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
−1/6
negative Start Fraction 1 over 6 End Fraction
2/3
Start Fraction 2 over 3 End Fraction
1/6
Start Fraction 1 over 6 End Fraction
−2/3
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we can apply the rules for multiplying and dividing in the correct order.
First, we can multiply -2 and 15 to get -30: -2 × 15 = -30.
Next, we divide -30 by 23: -30 ÷ 23.
Then, we multiply the result of (-30 ÷ 23) by -56: (-30 / 23) × (-56).
Finally, we divide the result of ((-30 ÷ 23) × (-56)) by 34: ((-30 / 23) × (-56)) ÷ 34.
Evaluating the expression, we get:
((-30 / 23) × (-56)) ÷ 34 ≈ 0.66232.
Therefore, the answer is approximately 0.66232.
The correct answer is: 0.66232.