Samuel has a board that is 44 inches long. He wants to cut it into two pieces so that one piece is 6 inches longer than the other. Which of the equations below could be used to find the length of the shorter piece, s? Check ALL that apply.

2s = 50
s + s + 6 = 44
s + s = 44 + 6
2s = 38
2s + 6 = 44
s + 6 = 44

s + s + 6 = 44

2s = 38

2s + 6 = 44

Step-by-step explanation:

Given parameters:

Length of the board  = 44inches

Unknown:

equation to find the shorter piece s = ?

Solution:

 let the longer piece  = L

 Shorter piece  = s

s + L = 44 i

Now,

   L  = s + 6 ii

put L  = s + 6 into i;

  s  + s + 6  = 44

     2s + 6  = 44

    2s  = 44 - 6

    2s  = 38

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.