The equation 1.5r+15=2.25r represents the number r of movies you must rent to spend the same amount at each movie store. how many movies must you rent to spend the same amount at each movie store?

Step-by-step explanation:

The equation given represents the number of movies, , that must be rented to spend the same amount at each store.

We want to find the number of movies, so we should solve for . To solve for we must isolate it on one side of the equation.

First, let's get all the terms with a variable on one side. Subtract 1.5r from both sides of the equation.

0.75 and are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 0.75

20 movies must be rented to spend the same amount at each store.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

the answer is 13/48

step-by-step explanation: