The vertices of a triangle are located at the points A(-1, 0), B(-2, 2), and C(3, 3). A'B'C' is the result of rotating ABC 180° about the origin. Which statement can be used to find the coordinates of the vertices of A'B'C'? A. multiply each x-value by -1 and keep each y-value the same
B. multiply each x-value by -1 and multiply each y-value by -1
C. multiply each x-value by -1, keep each y-value the same and switch their places
D. keep each x-value the same, multiply each y-value by -1 and switch their places

answer: the four apples you took away.

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

well, because the $0.25 is an added cost depending on how many minutes, the answer would be y = 30 + 0.25x.