Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts
Since 8 ounces (oz.) of peanuts is used to produce a package of mix A and 6 ounces (oz.) of peanuts is used to produce a package of mix B. Also, No more than 120 oz. of peanuts can be used each day. This can be represented by the inequality:
8x + 6y ≤ 120 (1)
4 ounces (oz.) of cashew is used to produce a package of mix A and 6 ounces (oz.) of cashew is used to produce a package of mix B. Also, No more than 96 oz. of peanuts can be used each day. This can be represented by the inequality:
4x + 6y ≤ 96 (2)
The inequality from equation 1 and equation 2 is graphed using geogebra online graphing.
If x, y ≥ 0, the solution to the problem is:
(0, 0), (0, 16), (15,0), (6, 12)
we have

The solution is the shaded area above the dotted line
therefore
The answer in the attached figure
The mnemonic SOH CAH TOA helps you remember that
... Sin = Opposite/Hypotenuse
The side opposite angle K is marked with length 5. The hypotenuse KM is marked with length 10. Using the above relationship ...
... sin(∠K) = 5/10 = 1/2
The first choice is appropriate: 
3.5x is lessthan or equal to 21
3.5x<=21 divide by 3.5
x<=6 so that means the length of the rectangle can be 6 or less.