Acoffee mixture has beans that sell for 0.20 a pound and beans that sell for 0.68. if 120 pounds of beans create a mixture worth 0.54 a pound, how much of each bean is used ? model the scenario then solve it. then, in two or more sentences explain whether your solution is or isn't reasonable.

The coffee mixture has 35 pounds of coffee beans sold at $0.20 a pound and 85 pounds of coffee beans sold at $0.68 a pound. This is reasonable because if you add 35 and 85 it will give you 120 pounds.

Step-by-step explanation:

0.2x + 0.68(120 - x) = 0.54[x + (120 - x)]

 0.2x + 81.6 - 0.68x = 0.54(120)

          -0.48x + 81.6 = 64.8

                     -0.48x = 64.8 - 81.6

                      -0.48x = -16.8

                      /-0.48       /-0.48

                               x = 35

y = 120 - x

y = 120 - 35

y = 85  

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: