After running for 5/6 of an hour, Konnor is 1/3 of the way through his run. How long will it take Konnor to finish his run if he continues at the same pace?

2.5 hours  

Step-by-step explanation:

We need to find the rate at which Konnor runs. So his speed = distance/time.

Let x be his total distance. The distance covered in 5/6 of an hour is x/3. So, his speed is x/3 ÷ 5/6 = x/3 × 6/5 = 2x/5

Now, the rest of the distance left to cover is 1 - 1/3 = 2/3. So, the remaining distance is 2x/3.

The time required to cover this distance is t = 2x/3 ÷ speed = 2x/3 ÷ 2x/5 = 2x/3 × 5/2x = 5/3 of an hour.

So, the total time required for Konnor to complete his run is 5/6 + 5/3 of an hour = 5/6 + 5/3

= (5 + 10)/6

= 15/6

= 5/2 of an hour

= 2.5 hours  

0 is its x and y coordinate

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.