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z = 3m - 2n

Step-by-step explanation:

1000^m ÷ 100^n

Rewrite them in exponent form

That's

10^3m ÷ 10^2n

Since the bases are the same and they are dividing we subtract the exponents

That's

10^3m - 2n

Comparing it with 10^z

10^3m - 2n = 10^z

z = 3m - 2n

Hope this helps you

the answer is. -82562234434584

step-by-step explanation:

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.