Use the properties of operations and rules for multiplying and dividing to solve:
(−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
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.
2.1477272727272725 Simplified
The solution can be simplified as 2.1477272727272725 is already in decimal form. There are no further simplifications that can be done.
In fraction
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
2/3 -1/6 1/6 or -2/3
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.
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
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.
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
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.
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
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.
1/8 160 1/10 or 2 1/2 (fraction)
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.
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
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.