Use the properties of operations and rules for multiplying and dividing to solve: (−2)×(15)÷(23)×(−56)÷(34) (1 point)
−2/3
2/3
1/6
-1/6
To solve the expression (-2)×(15)÷(23)×(-56)÷(34), we can apply the properties of operations and rules for multiplying and dividing:
First, we multiply the numbers from left to right:
(-2)×(15) = -30
Next, we divide the result by the next number:
-30 ÷ (23) = -30/23
Then, we multiply the result by the next number:
-30/23 × (-56) = 1680/23
Finally, we divide the result by the last number:
1680/23 ÷ 34 = 40/23
Thus, the answer is 40/23.
the answers are −2/3, 2/3, 1/6, -1/6, pick one
My apologies for the incorrect response. Let's try solving the expression correctly.
(-2)×(15)÷(23)×(-56)÷(34)
First, we multiply the numbers from left to right:
(-2)×(15) = -30
Next, we divide the result by the next number:
-30 ÷ (23) = -30/23
Then, we multiply the result by the next number:
-30/23 × (-56) = 1680/23
Finally, we divide the result by the last number:
1680/23 ÷ 34 = 1680/23 ÷ 34/1
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
1680/23 × 1/34 = 1680/(23*34) = 1680/782
Simplifying the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 2:
1680/782 = 840/391
Therefore, the solution is 840/391.
Use the properties of operations and rules for multiplying and dividing to solve: (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4) .
−2/3
2/3
1/6
-1/6
To solve the expression (-2)×(1/5)÷(2/3)×(-5/6)÷(3/4), we can apply the properties of operations and rules for multiplying and dividing:
First, we multiply the numbers from left to right:
(-2)×(1/5) = -2/5
Next, we divide the result by the next number:
(-2/5) ÷ (2/3) = (-2/5) × (3/2) = -6/10 = -3/5
Then, we multiply the result by the next number:
(-3/5) × (-5/6) = 15/30 = 1/2
Finally, we divide the result by the last number:
(1/2) ÷ (3/4) = (1/2) × (4/3) = 4/6 = 2/3
Therefore, the answer is 2/3.
Use the properties of operations and rules for multiplying and dividing to solve: (9)÷(5/4)×(7/9)×(−5)÷(7/2)
To solve the expression (9)÷(5/4)×(7/9)×(-5)÷(7/2), we can apply the properties of operations and rules for multiplying and dividing:
First, we convert the division into multiplication by taking the reciprocal of the divisor:
(9) × (4/5) × (7/9) × (-5) × (2/7)
Next, we simplify the expression by canceling out common factors:
(9/1) × (4/5) × (7/9) × (-5/1) × (2/7)
(9 × 4 × 7 × -5 × 2) / (1 × 5 × 9 × 1 × 7)
The numerator simplifies to:
9 × 4 × 7 × -5 × 2 = -2520
The denominator simplifies to:
1 × 5 × 9 × 1 × 7 = 315
Therefore, the expression simplifies to:
-2520 / 315
To reduce the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 315:
-2520 / 315 = -8
Therefore, the solution 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)
If the runner completes 1/4 of a 5-mile race every 8 minutes, it means the runner covers 5 miles in 32 minutes (four increments of 8 minutes each).
To find out how far the runner can go in 16 minutes, we can determine the proportion of the race completed in that time.
If 32 minutes results in a completion of 5 miles, then we can set up the following proportion:
32 minutes / 5 miles = 16 minutes / x miles
To solve for x, we can cross-multiply:
32 * x = 5 * 16
32x = 80
Dividing both sides of the equation by 32, we find:
x = 80 / 32
x = 2.5
Therefore, the runner can go 2.5 miles in 16 minutes.
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)
160 miles
1/10 miles
2 1/2 miles
1/8 miles