(5a+2)/6a + (a+3)/3a can be simplified to become which of the following? i know the answer is 7a+8/6a, but why?

You are adding:

5a + 2 a+3

+

6a 3a

The LCD here is 6a, so we must mult. numerator and denom. of the 2nd fraction by 2:

5a + 2 2(a+3) 7a + 8

+ = Please note: either write this result as

6a 2(3a) 6a shown, or include parentheses in your

(7a+8) / (6a)

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.