3. Elise bought 5 boxes of cereal and 2 gallons of milk for a total cost of $31.24. Each box of cereal cost $4.80. Enter the cost, in dollars of 1 gallon of milk. Note: do not include the dollar sign, $, in your answer. *

3.62

Step-by-step explanation:

Let

x = cost of cereal

y = cost of milk

5x + 2y = 31.24

x = $4.80

Substitute into the equation

5x + 2y = 31.24

5(4.80) + 2y = 31.24

24 + 2y = 31.24

2y = 31.24 - 24

2y = 7.24

y = 7.24 / 2

y = $3.62

Therefore,

1 gallon of milk cost $3.62

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+

25.45584