Two​ trains, Train A and Train​ B, weigh a total of 510 tons. Train A is heavier than Train B. The difference of their weights is 484 tons. What is the weight of each​ train?

Train A is 497 tons and Train B is 13 tons

Step-by-step explanation:

Let a represent the weight of Train A, and b represent the weight of Train B

Set up a system of equations:

a + b = 510

a - b = 484

Solve by elimination by multiplying the top equation by -1

-a - b = -510

a - b = 484

Add these together, and solve for b:

-2b = -26

b = 13

Find the weight of Train A by plugging in 13 as b into one of the equations, and solving for a

a + b = 510

a + 13 = 510

a = 497

So, Train A is 497 tons and Train B is 13 tons

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.