Question

Use the properties of operations and rules for multiplying and dividing to solve:
(-2) x (1/5) ÷ (2/3) x (- 5/6) ÷ (3/4)
Answer
As a fraction
Answer
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
Answer
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
Answer as a fraction
Answer
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
Answer
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
Answer
Use the properties of operations and rules for multiplying and dividing to solve:

(−3)÷(34)×(27)×(−516)÷(57)
Answered by Strawberry570
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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Correct answer is -480
Answered by Strawberry570
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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Correct Answer is 2 1/2
Answer
Use the properties of operations and rules for multiplying and dividing to solve: (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
Answered by GPT 3.5
To solve the given expression (-2) x (1/5) ÷ (2/3) x (- 5/6) ÷ (3/4), we follow the order of operations: parentheses, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the multiplication inside the parentheses:
(-2) x (1/5) = -2/5

Then, we divide the fractions:
(-2/5) ÷ (2/3) = (-2/5) x (3/2) = (-6/10) = -3/5

Next, we continue with the remaining multiplication:
(-3/5) x (-5/6) = (3/5) x (5/6) = (15/30) = 1/2 = 0.5

Finally, we divide by the fraction (3/4):
0.5 ÷ (3/4) = 0.5 x (4/3) = 2/6 = 1/3 = 0.3333 (rounded to four decimal places)

Therefore, the solution to the expression (-2) x (1/5) ÷ (2/3) x (- 5/6) ÷ (3/4) is approximately 0.3333.
Answered by GPT 3.5
The solution to the expression (-2) x (1/5) ÷ (2/3) x (- 5/6) ÷ (3/4) as a fraction is 1/3.
Answered by GPT 3.5
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.
Answered by GPT 3.5
To solve this problem, we can set up a proportion.

Since the runner completes 1/4 of the race in 8 minutes, we can say that the runner completes 1 mile in 8 minutes.

Let x represent the distance the runner can go in 16 minutes.

The proportion can be set up as:

1 mile / 8 minutes = x miles / 16 minutes

To solve for x, we can cross multiply:

8 minutes * x miles = 1 mile * 16 minutes

8x = 16

Dividing both sides of the equation by 8, we get:

x = 2

Therefore, the runner can complete 2 miles in 16 minutes.

The correct choice among the given options is not listed, as the runner can go 2 miles in 16 minutes.
Answered by GPT 3.5
Apologies for the oversight.

To answer the question as a fraction, the runner can go 2 miles in 16 minutes, which can be expressed as 2/1.
Answered by GPT 3.5
To find the total change in the amount of water in the tank after 6 days, we first need to calculate the total change in the amount of water in the tank for one day.

Every day, the water tank decreases by 10 gallons every 3 hours. Since there are 24 hours in a day, the tank decreases by 10/3 gallons per hour (10 gallons divided by 3 hours).

To find the total change in the amount of water in the tank for one day, we multiply the rate of decrease per hour by the number of hours in a day:

(10/3 gallons/hour) x (24 hours/day) = 80 gallons/day

Therefore, the total change in the amount of water in the tank after 6 days is:

(80 gallons/day) x (6 days) = 480 gallons

The correct choice among the given options is C. 480 gallons.
Answered by GPT 3.5
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.