A sports camp has a total of $2,880 to purchase new equipment. They need baseballs and baseball gloves. A pack of baseballs costs $16, and a glove costs $48. The camp needs to include at least 50 items in its order. Let x represent the number of gloves and y represent the number of packs of baseballs. Draw a graph to represent the number of packs of baseballs and baseball gloves the camp can purchase with its budget.

Step-by-step explanation:

Problem to start doing linear programming, excellent.

Number of packs of baseballs to be purchased = x

Cost of a pack of baseballs,  C= 16

Number of gloves to be purchased = y

Cost of a glove, G = 48

Minimum number of items = 50   [x+y >= 50]

Maximum amount to be spent = 2880   [Cx + Gy <= 2880]

Graph drawn and attached.

Shaded area (grey) represent all feasible purchases.

Maximum number of pairs of gloves = 60 (zero balls), or

maximum number of sets of balls = 180 (no gloves)

step-by-step explanation:

in which figure is point g a centroid

geometry: triangles

solvers

lessons

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+

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