Twice the sum of a number and four is equal to seven times the number decreased by twenty two. What is the number?

6

Step-by-step explanation:

Sum is the same as addition, so if our number is x then:

Twice the sum of a number and four is

2 (x + 4)

Seven times the number decreased by twenty two is

7x - 22

We write it:

2(x + 4) = 7x - 22

Solve for x.

2(x + 4) = 7x - 22 Multiply out

2x + 8 = 7x - 22   Add 22 to each side so the 22 on the right cancels.

2x + 8 + 22 = 7x - 22 + 22

2x + 8 + 22 = 7x

2x + 30 = 7x   Subtract 2x from each side so that 2x on the left cancels.

2x - 2x + 30 = 7x - 2x

30 = 7x - 2x

30 = 5x  Divide each side by 5

30/5 = 5x/5

30/5 = x

6 = x

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew