Cole is saving money from his summer job. He wants to buy a new video game that costs 45.25. He will save the same amount each week for 5 weeks. How much money will Cole save each week for the video game?

Cole will have to save 9.05 for 5 weeks in order to get the video game.

How to solve this problem- 45.25 ÷ 5 = 9.05

bai ^^

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation