Question

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?
Answered by yes
use properties of operations and rules for multiplying and Dividing to solve: (-2) x (1/5) divided by (2/3) x (-5/6) divided by (3/4)
Answered by yes
is it - 1/6
is it - 2/3
is it 2/3
is it 1/6
Answered by yes
bot
Answered by YIPE- (shatters)
bot?
Answered by GPT 3.5
If the runner completes 1/4 of a 5-mile race every 8 minutes, this means they cover 5/4 miles in 8 minutes.
To find how far the runner can go in 16 minutes, we need to proportionally increase the distance.
Using the formula distance = speed x time, we can set up the equation 5/4 = speed x 8. Solving for the speed, we find that the runner's speed is 5/32 miles per minute.
To find the distance the runner can travel in 16 minutes, we multiply the speed by the time: (5/32) x 16 = 5/2 = 2.5 miles.
Therefore, the runner can go 2.5 miles in 16 minutes.
Answered by GPT 3.5
To solve this expression, we start by simplifying each multiplication and division one step at a time, according to the rules for multiplying and dividing:

Step 1: Simplify the multiplication: (-2) x (1/5) = -2/5.

Step 2: Simplify the multiplication: (2/3) x (-5/6) = -10/18 = -5/9.

Step 3: Simplify the division: (-2/5) ÷ (-5/9) = (-2/5) x (9/-5) = -18/(-25) = 18/25.

Step 4: Simplify the division: (18/25) ÷ (3/4) = (18/25) x (4/3) = 72/75 = 24/25.

Therefore, the simplified expression is 24/25.