Question

Use the properties of operations and rules for multiplying and dividing to solve:

(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)

Answer 1

(9)÷(5/4)×(7/9)×(−5)÷(7/2)

Answer 2

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?

Answer 3

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

160 miles
160 miles

212 miles
2 Start Fraction 1 over 2 End Fraction miles

110 mile

Answer 4

what's 25 divided by 2 then multiplied by 2

Answer 5

what is 1/4 divided by 2, then multiplied by 2

Answer 6

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

Answer 7

To solve this expression, let's break it down step by step using the properties of operations and rules for multiplying and dividing.

First, let's multiply the fractions:
(-2) × (1/5) = -2/5

Next, let's divide the fractions:
-2/5 ÷ (2/3) = -2/5 × (3/2) = (-2 × 3) / (5 × 2) = -6/10 = -3/5

Now, let's multiply the remaining fractions:
-3/5 × (-5/6) = (3/5) × (5/6) = (3 × 5) / (5 × 6) = 15/30 = 1/2

Finally, let's divide by the last fraction:
1/2 ÷ (3/4) = 1/2 × (4/3) = (1 × 4) / (2 × 3) = 4/6 = 2/3

Therefore, (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4) simplifies to 2/3.

Answer 8

To solve this expression, let's once again break it down step by step using the properties of operations and rules for multiplying and dividing.

First, let's divide 9 by the fraction (5/4):
9 ÷ (5/4) = 9 × (4/5) = (9 × 4) / 5 = 36/5

Next, let's multiply the resulting fraction by (7/9):
(36/5) × (7/9) = (36 × 7) / (5 × 9) = 252/45

Now, let's multiply the resulting fraction by -5:
(252/45) × (-5) = (252 × -5) / 45 = -1260/45

Finally, let's divide the resulting fraction by (7/2):
(-1260/45) ÷ (7/2) = (-1260/45) × (2/7) = (-1260 × 2) / (45 × 7) = -2520/315

To simplify this fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 45:
-2520/315 = -56/7

Therefore, (9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2) simplifies to -56/7, or simply -8.

Answer 9

To solve this problem, we can first calculate the distance the runner completes in 1 minute by dividing 1/4 of a 5-mile race by 8 minutes:

(1/4) * 5 miles / 8 minutes = 5/32 miles per minute

Next, we can multiply the miles per minute by the number of minutes (16) to find the distance the runner can go in 16 minutes:

(5/32) miles per minute * 16 minutes = (5/32) * 16 = 80/32 = 2.5 miles

Therefore, the runner can go 2.5 miles in 16 minutes at the same pace.

Answer 10

To solve this problem, we can first calculate the distance the runner completes in 1 minute by dividing 1/8 of a 5-mile race by 8 minutes:

(1/8) * 5 miles / 8 minutes = 5/64 miles per minute

Next, we can multiply the miles per minute by the number of minutes (16) to find the distance the runner can go in 16 minutes:

(5/64) miles per minute * 16 minutes = (5/64) * 16 = 80/64 = 1.25 miles

Therefore, the runner can go 1.25 miles in 16 minutes at the same pace.

Answer 11

To solve the expression "25 divided by 2 then multiplied by 2," we follow the order of operations, which states that we should perform the division first and then the multiplication.

25 ÷ 2 = 12.5

Then, we multiply the result by 2:

12.5 × 2 = 25

So, 25 divided by 2, then multiplied by 2, equals 25.

Answer 12

To solve the expression "1/4 divided by 2, then multiplied by 2," we follow the order of operations, which states that we should perform the division first and then the multiplication.

1/4 ÷ 2 = 1/4 × 1/2 = 1/8

Then, we multiply the result by 2:

1/8 × 2 = 1/8 × 2/1 = 2/8 = 1/4

So, 1/4 divided by 2, then multiplied by 2, equals 1/4.