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)
1/3×150÷4
1/3×150×4
1/3×150÷1/4
1/3÷150÷4
The correct set of calculations would be:
1/3 × 150 ÷ 4
This is because you want to find the calories per serving, so you need to divide the total calories (150) by the number of servings (4), after multiplying by the fraction of the container used (1/3).
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
my answer is 2/3. am i right?
Let's simplify the expression step by step:
(-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4)
First, let's perform the multiplication and division operations separately:
(-2) × (1/5) = -2/5
(-2/5) ÷ (2/3) = (-2/5) × (3/2) = (-2/5) × (3/2) = -6/10 = -3/5
(-3/5) × (-5/6) = (3/5) × (5/6) = (3 × 5) / (5 × 6) = 15/30 = 1/2
Now, let's perform the last division operation:
(1/2) ÷ (3/4) = (1/2) × (4/3) = (1 × 4) / (2 × 3) = 4/6 = 2/3
Therefore, the correct answer is 2/3. You are correct!
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
my answer is -8. am i right?
Let's simplify the expression step by step:
(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)
First, let's perform the division operation:
(9) ÷ (5/4) = (9) × (4/5) = (9 × 4) / (5) = 36/5
Now let's perform the multiplication operations:
(36/5) × (7/9) = (36 × 7) / (5 × 9) = 252/45 = 28/5
(28/5) × (-5) = (28/5) × (-5/1) = (28 × -5) / (5 × 1) = -140/5 = -28
Finally, let's perform the last division operation:
(-28) ÷ (7/2) = (-28) × (2/7) = (-28 × 2) / (7) = -56/7 = -8
Therefore, the correct answer is -8. You are correct!
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?
my answer is 1/10. am i right?
Let's calculate the distance the runner can go in 16 minutes at the same pace.
The runner completes 1/4 of a 5-mile race every 8 minutes.
First, we need to find the distance the runner completes in 1 minute:
1/4 mile ÷ 8 minutes = 1/32 mile per minute
Now, we can find the distance the runner can go in 16 minutes:
1/32 mile per minute × 16 minutes = 1/2 mile
Therefore, the correct answer is 1/2 mile. Your answer of 1/10 is incorrect.
1/2 isnt an option for this question
Apologies for the confusion. If 1/2 mile is not an option, let's recalculate the answer.
The runner completes 1/4 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:
(1/4 mile) / (8 minutes) = (x miles) / (16 minutes)
To solve for x, we can cross-multiply:
(1/4) * (16) = (x) * (8)
4 = 8x
x = 4/8
Simplifying the fraction, the runner can go 1/2 mile in 16 minutes.
Therefore, the correct answer is 1/2 mile.