The cost to purchase a song from website 1 is $0.30 per song and a $5 membership fee. To purchase a song from website 2 there is a membership fee of $7 and each purchased song costs $0.20. How many downloaded songs, x, must be purchased for the two websites to be equal?

I belive the answer is 20 songs.

Step-by-step explanation:

The equation you're looking for to solve this is

0.30x+5=0.20x+7

Then, you would solve for x in order to get 20.

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584