A total of 2 strings together is 84. One string is 6 inches longer than the other. How long is the first string

The answer is 39.

Step-by-step explanation: The shorter piece is X, and the longer piece would be (X + 6).

Since the rope is 84 in all, the equation would be X + (X + 6)=84 ->

2X + 6=84 -> 2X=84-6=78 -> 78/2= 39 -> X=39

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.