Roy weighs 120 pounds and plans to gain 2.5 pounds a week. Luis weighs 1 point 220 pounds and plans to lose 3.5 pounds a week. Which equation shows
when Roy and Luis will weigh the same?

2.5x + 120 = -3.5x +220; after about 16.6 weeks Roy and Luis will weigh the same amount in pounds

Step-by-step explanation:

Roy's: y = 2.5x + 120

Luis': y = -3.5x + 220

x is representing the number of weeks and y is representing the total number of pounds each will weight after x weeks.

1) set the two equations equal to each other because you want them to weigh the same amount (this might be your equation if they don't want you to solve for the number of weeks)

2.5x + 120 = -3.5x +220

2) Solve for x to find after how many weeks they will weigh the same

2.5x = -3.5x +100

6x = 100

x = 16.6667 weeks

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m