Use the properties of operations and rules for multiplying and dividing to solve:
(-2) x (1/5) ÷ (2/3) x (- 5/6) ÷ (3/4)
To solve the given expression (9)÷(5/4)×(7/9)×(−5)÷(7/2), we follow the order of operations: parentheses, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, we divide 9 by 5/4:
9 ÷ (5/4) = 9 x (4/5) = (36/5)
Next, we multiply by 7/9:
(36/5) x (7/9) = (36 x 7) / (5 x 9) = (252/45)
Then, we multiply by -5:
(252/45) x (-5) = - (252/45) x 5 = - (1260/45)
Finally, we divide by 7/2:
- (1260/45) ÷ (7/2) = - (1260/45) x (2/7) = - (2520/315) = -8/1
Therefore, the solution to the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2) is -8.
The correct choice among the given options is B. -8.
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?
A. 1/3×150÷4
B. 1/3×150×4
C. 1/3÷150÷4
D. 1/3×150÷14
To calculate the number of calories per serving, we need to multiply the fraction of a container of yogurt used in the recipe by the number of calories in a full container of yogurt, and then divide it by the number of servings the recipe makes.
The correct set of calculations would be:
A. 1/3×150÷4
This calculation can be broken down step by step as follows:
1/3 × 150 = 50
50 ÷ 4 = 12.5
Therefore, the correct set of calculations to find the number of calories per serving is A. 1/3×150÷4, which gives us 12.5 calories per serving.
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?
A. 80 gallons
B. −480 gallons
C.480 gallons
D. −80 gallons
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The Correct answer is -480
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. 1/8 mile
C. 160 miles
D. 2 1/2 miles
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The Correct Answer is 2 1/2
As a fraction
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
A. −1,225/8
B. −8
C. 1,225/8
D. 8
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. 1/8 mile
C. 160 miles
D. 2 1/2 miles
Answer as a fraction
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?
A. 80 gallons
B. −480 gallons
C.480 gallons
D. −80 gallons