Reducing
9x + -31 = 43
Rearranging the components:
-31 + 9x = 43
Finding the solution
-31 + 9x = 43
Isolating the variable 'x'.
Shift all terms with x to one side,
Add '31' to both sides of the equation.
0 + 31 + 9x = 43 + 31
Summing up similar items:
-31 + 31 = 0
0 + 9x = 43 + 31
9x = 43 + 31
Summing similar items:
43 + 31 = 74
9x = 74
Split each side by '9'
x = 8.222222222
Simplifying
x = 8.222222222
The volume of a rectangular prism is calculated as
V = length × width × height
. For the juice carton, the volume is calculated as
V = 4 × 4 × 8 = 128 in³
. The volume formula for a cylinder is
V = Area of circular base × height =

×h, where

denotes the radius of the circular base
. The volume for the cylindrical glass is computed as
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³
. Therefore, the quantity of glasses that can be filled with the juice from the carton is:
128 ÷ 24.7275 = 5.18 ≈ 5 glasses
.
The laptop would be of no worth. To find its actual value, it would equate to $-375.
Here is the complete question: It requires 31 employees and costs \$7500 to manufacture a car, while it takes 19 employees and costs \$4300 to produce a motorcycle. Genghis Motors aims to exceed \$84000 in expenditures for cars and motorcycles, utilizing a maximum of 706 employees. Let C represent the number of cars manufactured and M the number of motorcycles produced. Prepare an inequality reflecting the employee condition. Prepare another inequality reflecting the monetary condition.