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

Question

(−2)×(15)÷(23)×(−56)÷(34)

(1 point)
Responses

23
Start Fraction 2 over 3 End Fraction

−16
negative Start Fraction 1 over 6 End Fraction

16
Start Fraction 1 over 6 End Fraction

−23

Answer 1

To solve this expression, we need to apply the properties of operations and rules for multiplying and dividing.

Starting with the multiplication operation, we have:

(-2) × (15) = -30

Moving on to the division operation, we have:

-30 ÷ (23) = -1.3043478260869565

Now, multiplying by -56:

-1.3043478260869565 × (-56) = 73.04347826086957

Finally, dividing by 34:

73.04347826086957 ÷ 34 = 2.1477272727272725

Therefore, the solution is approximately 2.1477272727272725.

Answer 2

2.1477272727272725 Simplified

Answer 3

The solution can be simplified as 2.1477272727272725 is already in decimal form. There are no further simplifications that can be done.

Answer 4

In fraction

Answer 5

To write 2.1477272727272725 as a fraction, we can follow these steps:

Step 1: Let x = 2.1477272727272725.

Step 2: Multiply x by 10000000000000000000 to remove the decimal places:

x × 10000000000000000000 = 21477272727272725

Step 3: Write the result as a fraction with the divisor as 10000000000000000000:

21477272727272725/10000000000000000000

This fraction is already simplified as there are no common factors that can be divided between the numerator and the denominator. Therefore, the simplified fraction is:

21477272727272725/10000000000000000000

Answer 6

2/3 -1/6 1/6 or -2/3

Answer 7

I apologize for the confusion in my previous response. Let's solve the expression again correctly:

To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we can apply the properties of operations and simplify step by step:

First, multiply (-2) and (15):
(-2) × (15) = -30

Next, divide (-30) by (23):
-30 ÷ 23 ≈ -1.3043 (rounded to four decimal places)

Then, multiply the result (-1.3043) by (-56):
-1.3043 × (-56) ≈ 73.0435 (rounded to four decimal places)

Lastly, divide the result (73.0435) by (34):
73.0435 ÷ 34 ≈ 2.1507 (rounded to four decimal places)

Therefore, the solution to the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.1507.

Answer 8

(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)

Answer 9

To solve the expression (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4), we can simplify step by step:

First, multiply (-2) by (1/5):
(-2) × (1/5) = -2/5

Next, divide (-2/5) by (2/3):
(-2/5) ÷ (2/3) = -6/10

Then, multiply the result (-6/10) by (-5/6):
(-6/10) × (-5/6) = 30/60

Finally, divide the result (30/60) by (3/4):
(30/60) ÷ (3/4) = 40/60 = 2/3

Therefore, the solution to the expression (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4) is 2/3.

Answer 10

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

(9)÷(5/4)×(7/9)×(−5)÷(7/2)

1,2258
Start Fraction 1,225 over 8 End Fraction

8
8

−1,2258
negative Start Fraction 1,225 over 8 End Fraction

−8
negative 8

Answer 11

To solve the expression (9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2), we can apply the properties of operations and simplify step by step:

First, divide 9 by (5/4):
9 ÷ (5/4) = 9 × (4/5) = 36/5

Next, multiply (36/5) by (7/9):
(36/5) × (7/9) = (36 × 7) / (5 × 9) = 252/45 = 28/5

Then, multiply (28/5) by (-5):
(28/5) × (-5) = (28 × -5) / 5 = -140/5 = -28

Lastly, divide (-28) by (7/2):
(-28) ÷ (7/2) = (-28) × (2/7) = (-28 × 2) / 7 = -56/7 = -8

Therefore, the solution to the expression (9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2) is -8.

Answer 12

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?(1 point)
Responses

18 mile
Start Fraction 1 over 8 End Fraction mile

160 miles
160 miles

110 mile
Start Fraction 1 over 10 End Fraction mile

212 miles

Answer 13

To find out how far the runner can go in 16 minutes, we need to determine how many increments of 1/4 of a mile the runner can complete in that time.

In 8 minutes, the runner completes 1/4 of a mile. Therefore, in 16 minutes, the runner will complete two times that amount:

(1/4) mile × 2 = (2/4) mile = 1/2 mile.

Therefore, the runner can go 1/2 mile in 16 minutes.
The correct answer is:
Start Fraction 1 over 2 End Fraction mile.

Answer 14

1/8 160 1/10 or 2 1/2 (fraction)

Answer 15

I apologize for the incorrect response. Let's solve the problem again correctly.

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 miles) / (8 minutes) = x miles / 16 minutes

Cross-multiplying, we have:

8 minutes * x miles = (1/4 miles) * 16 minutes

8x = 4

Dividing both sides by 8, we have:

x = 4/8 = 1/2

Therefore, the runner can go 1/2 mile in 16 minutes. The correct answer is:
Start Fraction 1 over 2 End Fraction mile.

Answer 16

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

(−2)×(15)÷(23)×(−56)÷(34)

(1 point)
Responses

−23
negative Start Fraction 2 over 3 End Fraction

−16
negative Start Fraction 1 over 6 End Fraction

16
Start Fraction 1 over 6 End Fraction

23

Answer 17

To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we can apply the properties of operations and simplify step by step:

First, multiply (-2) and (15):
(-2) × (15) = -30

Next, divide (-30) by (23):
-30 ÷ 23 ≈ -1.3043 (rounded to four decimal places)

Then, multiply the result (-1.3043) by (-56):
-1.3043 × (-56) ≈ 73.0435 (rounded to four decimal places)

Lastly, divide the result (73.0435) by (34):
73.0435 ÷ 34 ≈ 2.1507 (rounded to four decimal places)

Therefore, the solution to the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.1507.