Arate is when one unit of measure changes in terms of another. when you see the word "per" you know that you are dealing with rates. the first unit of measure listed is the dependent variable. the second unit of measure is the independent variable. at times, these quantities are graphed on a coordinate grid. for each of the following rate examples say which unit will be on the x-axis and which unit will be on the y-axis. a. gallons per minute b. assignments per week c. calories per serving html editor keyboard shortcuts

Hi Livibivvy77,

A. Gallons Per Minute (X Axis)

B. Assignments Per Week (X Axis)

C. Calories Per Serving (Y Axis)

step-by-step explanation:

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'.