Consider the system of equations. x = 8 – 2y

x + 3y = 12

What value of x satisfies the system of equations?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.