A coffee distributor plans to mix some Rift Valley coffee that normally sells for $12.10 per pound with some Mexican Shade Grown coffee that normally sells for $13.10 per pound to create 50 pounds of a new coffee blend that can sell for $12.62 per pound. How many pounds of each kind of coffee should they mix? pounds of Rift Valley coffee? pounds of Mexican Shade Grown coffee? Round your answers to the nearest whole number of pounds.

24 pounds of Rift Valley coffee

26 pounds of Mexican Shade Grown coffee

Step-by-step explanation:

If R is pounds of Rift Valley coffee, and M is pounds of Mexican Shade Grown coffee, then:

R + M = 50

12.10 R + 13.10 M = 12.62 (50)

Substitute:

12.10 R + 13.10 (50 − R) = 12.62 (50)

12.10 R + 655 − 13.10 R = 631

R = 24

M = 26

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!