Kevin and Colton go to the movie theater and purchase refreshments for their
friends.
Kevin spends a total of $45.00 on 3 drinks and 2 bags of popcorn.
Colton spends a total of $110.25 on 9 drinks and 3 bags of popcorn.
Write a system of equations that can be used to find the price of one drink and the
price of one bag of popcorn.
Using these equations, determine and state the price of a bag of popcorn, to the
nearest cent.

y= cost of a popcorn

x= cost of a drink

3x+2y=45

9x+3y=110.25

y= 8.25

x= 9.5

popcorn= $8.25

drink= $9.50

Step-by-step explanation:

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

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