△klm is reflected to form △k′l′m′ . the vertices of △klm are k (2,4) , l (1,2) , and m (4,1) . the vertices of △k′l′m′ are k′ (4,2), l′ (2,1), and m′ (1,4). which reflection results in the transformation of △klm to △k′l′m′ ? a. reflection across the x-axis b. reflection across the y-axis c. reflection across y = x d. reflection across y=−x

image for option 4

step-by-step explanation:

i just know the internet

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)