So far carmela has collected 14 boxes of baseball coach there are 315 cards in each box carmella estimate says she has about 3000 cards so she buys six albums that holds 500 cards each one of the albums have enough space for all of the cards why or why not

Carmela currently has 14 boxes of 315 cards. 14 multiplied by 315 will give you a result of 4410.

Her estimate, 3000, is off by 1410.

She buys six boxes that hold 500 cards each. 500 multiplied by 6 will give you 3000 card spaces.

Therefore, she will not have enough room. If her estimate, 3000, was correct, she would then have enough room. However, she has 4410 cards, so she will have 1410 cards without cases.

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