Miguel recently sold some farmland and bought a new plot that consists of 968 acres. Miguel calculates that this is 20% less acreage than he used to own. What was the acreage of the old land?

1210 acres

Step-by-step explanation:

Given data

let the old farmland be x acres

new farmland = 968 acres

therefore

let us find 20% of the old farmland

=20/100x

=0.2x

Hence

968+0.2x=x

collect like terms

968=x-0.2x

968=0.8x

x= 968/0.8

x=1210 acres

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

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.