Mariah spent $9.50 on 9 pounds of limes and pears. limes cost $0.50 per pound and pears cost $1.50 per pound. let l be the number of pounds of limes and let p be the number of pounds of pears. which system of linear equations models the scenario? l + p = 9.5 and 1.5l + 0.5p = 9 l + p = 9 and 0.5l + 1.5p = 9.5 l = p + 9 and 9.5l + 0.5p = 0.5

l + p = 9 and 0.5l + 1.5p = 9.5

geometry: triangles

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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

5+2x=a

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