Aimee buys a plant that is 22 7/8 inches tall. After a month, the plant has grown 4 2/3. What is the height of the plant after the first month

  27 13/24 inches

Step-by-step explanation:

Assuming the reported monthly growth is for the first month, the height will be ...

  22 7/8 + 4 2/3 = (22 +4) +(21/24 +16/24) = 26 +37/24 = 27 13/24

The height of the plant after the first month is 27 13/24 inches.

Your graphing calculator can add these mixed numbers for you.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.