You are working as an assistant to a chef. the chef made 3/4 of a recipe and used 20 cups of milk. he wrote the equation 3/4=20x to show how many cups of milk he would use if he made the whole recipe. did he write the equation correctly? if not, write the correct equation and justify your answer

For this case we have that if the chef didof a recipe and use 20 cups of milk then the given equation, to show the number of cups of milk with the full recipe, is wrong. To demonstrate we make a rule of three:

20 -------------->

x ----------------> 1

Where "x" represents the number of cups of milk for the full recipe.

So:

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!