Find the value of a in the equation 5/a+3 = 3/a-2

D 9 1/2

Step-by-step explanation:

5/(a+3) = 3/(a-2)

We can use cross products to solve

5 * (a-2) = 3 * (a+3)

Distribute

5a - 10 = 3a +9

Subtract 3a from each side

5a -3a -10 = 3a -3a +9

2a -10 =9

Add 10 to each side

2a -10+10 = 9+10

2a = 19

Divide each side by 2

2a/2 = 19/2

a = 19/2

a = 9 1/2

Option D

Step-by-step explanation:

Please see attached picture for a detailed answer.

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.