Answer: Alternative optimal
Step-by-step explanation:
Alternative optimal solution means that
there are several optimal solutions that can be used to get identical objective function value.
Therefore, a scenario whereby the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region will lead to alternative optimal solution.
Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV=
m∠TUL+
m∠LUV
now plug in the angles for each
m∠TUV=
m∠TUL+
m∠LUV

solve the equation for x

Subtract 11 from both sides

divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)°
= (24)°
answer:
24°
1.46*10^9 will be the answer
Answer:
If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.
Step-by-step explanation:
He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.
1 pound = 16 ounces
1 1/8 pounds = ? ounces
cross multiply
1 1/8 × 16
9/8 × 16 = 18 ounces
Therefore,
His trail mix are
18 ounces of peanuts
12 ounces of raisins
11 ounces of walnuts
7 ounces of pretzels
The total weight = 18 + 12 + 11 + 7 = 48 ounces
Weight of the trail mix = 48 ounces
If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.
Answer:
x = 33
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)