Afactory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. the factory will make 50 gallons of this purple paint. how many drops of red and blue coloring will the factory need in the 50 gallon batch of purple paint?

1200 red drops and 800 blue drops.

First, find the number of pints of purple paint. There are 8 pints in each gallon, so multiply 50 times 8 to find that there are 400 pints.

Now, multiply the 400 pints times the number of drops of each color. 400 times 3 red drops is 1200 drops, and 400 times 2 blue drops is 800 blue drops.

a. she will receive a refund of $278.

step-by-step explanation:

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