The weight of a box of chocolates is 2.2 pounds. After taking out 75% of the chocolates, the remaining chocolates and the box weigh 0.7 pounds. What is weight of the box and the weight of the chocolates before any chocolates were taken out?

The weight of the box is 0.2 pounds and the weight of the chocolates before any chocolates were taken out is 2 pounds

Step-by-step explanation:

Let x represent the weight of the box only.

The weight of the box of chocolates is 2.2 pounds. It means that the weight of the chocolate only is

(2.2 - x) pounds

After taking out 75% of the chocolates, the remaining chocolates and the box weigh 0.7 pounds. It means that

2.2 - 0.75(2.2 - x) = 0.7

2.2 - 1.65 + 0.75x = 0.7

0.75x = 0.7 + 1.65 - 2.2

0.75x = 0.15

x = 0.15/0.75

x = 0.2 pounds

The weight of the chocolates before any chocolates were taken out is

2.2 - x = 2.2 - 0.2 = 2 pounds

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: