Problem B
<u>Equation</u>
Total = 3.50 + Number of movies watched * 0.45
<u>Givens</u>
Total = 17 movies.
<u>Substitute and Solve.</u>
Total = 3.50 + 17*0.45
Total = 3.50 + 7.65
Total = 11.15 Answer <<<<<
Conclusion: Stick with Netflix.
Problem A
<u>Givens</u>
Total = 7.10
Cost per movie = 0.45
Base Cost 3.50 for no movies.
<u>Equation</u>
Let the number of movies you can watch = n
Total = Base Cost + n*0.45
<u>Substitute and solve</u>
7.10 = 3.50 + n * 0.45 Subtract 3.50 from both sides.
7.10 - 3.50 = n*0.45
3.60 = n* 0.45 Divide by 0.45
3.60/0.45 = n
8 = n <<<< Answer
You can watch 8 movies.
Edit
Multiply both sides by 3.60
You are done. It's like solving something like
3x + 4 = 13 You would subtract 4 first and then divide by 3
⓵ The equation would be : 120 - 3w = 24
⓶ To test it out, let’s start by isolating the “W” :
120 - 3w = 24
-24 -24
↓
96 - 3w = 0
+3w +3w
↓
96 = 3w
÷3 ÷3
↓
32 = w
⓷ Now let’s see if everything works :
32 should be the number of weeks it will take Raymond to have only 24 books left!
If Raymond reads 3 books per week, how many did he read in 32 weeks?
32 × 3 = 96
If Raymond read 96 books in 32 weeks, how many books does he have left?
120 - 96 = 24
So the equation in #⓵ works!
I really hope this helped, if there’s anything just let me know! ☻
Solving an equation like this means to find the value of the variable. Here, the variable is x. Solve the left side normally.
Given: 1/3(9 - 6x) = -11
Distribute: 1/3(9) + 1/3(-6x) = -11
When operating with constant numbers on a variable term, apply affects of the operation on the coefficient. So, 1/3(-6x) = -2x.
3 - 2x = -11
Isolate the variable: 3 - 3 - 2x = -11 - 3
-2x = -14
Since these are both negative, we can convert them both to being positive.
2x = 14
Simplify: 2x/2 = 14/2
<u>x = 7</u>
Answer:
Step-by-step explanation:
Answer: C.
Step-by-step explanation:
20 divided by 8 = 2.5
30 divided by 12 = 2.5
10 divided by 6= 1.66667
35 divided by 14 = 2.5