The equation 1.5r+15=2.25r represents the number r of movies you must rent

ddaeeric

ddaeeric

Answered question

2021-09-18

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?

Answer & Explanation

izboknil3

izboknil3

Skilled2021-09-19Added 99 answers

Let the number of movies rented be r.
Now, the equation representing the number of movies r, that must be rented to spend the same amount at each movie store is:
1.5r+15=2.25
15=2.25r1.5r
15=0.75r
150.75=r
20=r
Conclusion:
Thus, the number of movies that must be rented is 20.
star233

star233

Skilled2023-06-14Added 403 answers

Step 1: Start with the given equation: 1.5r+15=2.25r.
Step 2: We want to isolate the variable r on one side of the equation. To do that, we need to get rid of the constant term 15 on the left side. We can achieve this by subtracting 15 from both sides of the equation: 1.5r+1515=2.25r15.
Simplifying the equation gives: 1.5r=2.25r15.
Step 3: Now, we want to eliminate the coefficient 1.5 in front of r on the left side of the equation. We can do this by dividing both sides of the equation by 1.5: 1.5r1.5=2.25r151.5.
Simplifying further gives: r=2.25r151.5.
Step 4: Next, we simplify the right side of the equation by dividing both terms by 1.5: r=2.25r1.5151.5.
Simplifying gives: r=1.5r10.
Step 5: To isolate the variable r on one side of the equation, we need to get rid of the 1.5r term on the right side. We can achieve this by subtracting 1.5r from both sides of the equation: r1.5r=1.5r1.5r10.
Simplifying further gives: 0.5r=10.
Step 6: To solve for r, we divide both sides of the equation by 0.5: 0.5r0.5=100.5.
Simplifying gives: r=20.
Therefore, you must rent 20 movies to spend the same amount at each movie store.
karton

karton

Expert2023-06-14Added 613 answers

Answer: 20
Explanation:
To solve the equation 1.5r+15=2.25r, representing the number r of movies you must rent to spend the same amount at each movie store, we can follow these steps:
Step 1: Subtract 1.5r from both sides of the equation to isolate the variable r:
15=2.25r1.5r
Step 2: Simplify the right side of the equation:
15=0.75r
Step 3: Divide both sides of the equation by 0.75 to solve for r:
150.75=r
Step 4: Evaluate the division:
20=r
Therefore, you must rent 20 movies to spend the same amount at each movie store.
user_27qwe

user_27qwe

Skilled2023-06-14Added 375 answers

Move the terms involving the variable r to one side of the equation.
Subtract 1.5r from both sides:
1.5r1.5r+15=2.25r1.5r
Simplifying the left side gives:
15=0.75r
Solve for r by isolating the variable.
Divide both sides of the equation by 0.75:
150.75=0.75r0.75
Simplifying the right side gives:
20=r
Therefore, you must rent 20 movies to spend the same amount at each movie store.

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