An envelope with 96 bookmarks in it has a mass of 1467 grams. the same envelope with 49 bookmarks in it has a mass of 762 grams. find the mass of the envelope when it is empty.

If is the mass of the envelope and the mass of one bookmark, then

We have

Then

so the envelope has a mass of 27 grams.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)