It takes dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. he has been making bracelets for longer than 120 minutes. if x represents the number of simple bracelets that he has made and y represents the number of deluxe bracelets he has made, the inequality 9x + 20y > 120 represents the scenario.
choose the possible combination of bracelets that dimitri may have made.

a. 3 simple bracelets and 4 deluxe bracelets
b. 0 simple bracelets and 6 deluxe bracelets
c. 12 simple bracelets and 0 deluxe bracelets
d. 7 simple bracelets and 3 deluxe bracelets

Step-by-step explanation:

Given that it takes Dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet.

Time taken is more than 120 minutes

x = simple bracelets and y = deluxe bracelets

Total time taken =

possible combinations would be the integral values of x and y which satisfy the above inequality

A) 3,4 substitute to check .

Hence not a solution

B) Time taken =24 hence not a solution

C) time taken 108 seconds hence cannot be solution

D)

Yes. a solution

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!

on the middle line

step-by-step explanation:

1/5=50