1/2 + z/7 = 5/14
What is Z?

z = -1

Step-by-step explanation:

1/2 + z/7 = 5/14

Multiply both sides of the equation by 14

7 + 2z = 5

Subtract 7

2z = -2

Divide both sides by 2

z = -1

Plug -1 in for z to check

1/2 + (-1/7) = 5/14

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.

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: