Make an algebraic expression for each plan.
For an instance, x represents the number of movies, and y represents the number of months
⇒ The expression for the digital movie plan is 3x
⇒ The expression for the DVD plan is 10y + 0.5x
A person rents movies in a month (that means the value of y equals 1), the expression of the DVD plan would be 10(1) + 0.5x = 10 + 0.5x
Find the value of x when the cost of both plan are the same
The two options will cost the same when the expression for digital movie is equal to the expression for DVD
the digital movie plan = the DVD plan
3x = 10 + 0.5x
Solve for x
3x - 0.5x = 10
2.5x = 10
x = 10/2.5
x = 4
The two options will cost the same, if the person rents 4 movies
Answer:
Step-by-step explanation:
<u>Here are the steps on how we will solve this problem.</u>
- Step 1: Divide the shape into squares and rectangles.
- Step 2: Find the area of all squares and rectangles
- Step 3: Sum up all the areas to get your final answer.
Now, let's follow the steps. Please consider looking at the picture I uploaded. Looking at the picture, we can tell that the area is 70 + 32 + 15. Now, let's solve.
- 70 + 32 + 15
- => 102 + 15
- => 117 in²
Hence, the area of the shape is 117 in².
Answer:
128
Step-by-step explanation:
Answer:
(-6, 9) is the solution set for given system.
Step-by-step explanation:
Given that:
3x-y=-27 ----------- eq1
4x+2y=-6 --------- eq2
Solving by combining the equations:
Dividing eq2 by 2 we get:
2x + y = -3 ------- eq3
Now add eq1 and eq3, we get:
5x = -30 (y from both equations will be cancelled out)
Dividing both sides by 5:
x = -6
Now putting value of x back in eq3:
2(-6) + y = -3
-12 + y = -3
Adding 12 on both sides:
y = -3 + 12
y = 9
So the solution set for given system is (-6, 9)
i hope it will help you!
