Cleo is making Giant Burgers for a school cookout. Each one starts with a large bun. On the bun, Cleo puts 1 burger patty,1 slice of cheese, 3 pickle slices. 1 more hamburger patty, 1 more slice of cheese, 3 more pickle slices and then some onions and catsup. A 1lb box of patties contain 5 patties. A package of cheese contains 10 slices. How many boxes of hamburgers and how many slices of cheese will Cleo need to make 100 Giant Burgers?

20 boxes of cheese and 50 boxes of burgers.

Step-by-step explanation:

On a single burger Cleo puts 2 slices of cheese. If a box contains 10 slices of cheese that can be used for 5 burgers. 100/5 is 20 so 20 boxes of cheese. Cleo also uses 2 patties per burger. So she can make only 2 full  burgers with it. 100/2 is 50. I'm not sure i am correct so please double check.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.