Roberto bought a new recliner. He was able to pay $200 at the time he received the recliner. He will pay $20 each month on the balance. The original cost of the recliner was $400. A. Let x represent the number of months needed to pay off the cost of the recliner. Explain how the equation 200 + 20 = 400 represents this situation. Solve the equation. How many months will it take Roberto to pay off the recliner?

x = 10 months

Step-by-step explanation:

We are told that the original cost of the recliner was $400.

And that he paid $200 initially and pays $20 each month to balance up to $400.

This means that if the number of months he uses to pay up is x, the equation to balance up the total will be;

200 + 20x

This is equal to the original cost.

Thus;

200 + 20x = 400

20x = 400 - 200

20x = 200

x = 200/20

x = 10 months

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)