Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
Answer: 20%
Step-by-step explanation: Let’s use the variable ‘x’ as the percent. You need to make an equation and fill in the blanks. ___ is ____% of ____. So 380 is x% of 475. Now solve the problem. 380/475 = x/100, cross multiply. Now you have 475x = 380 * 100 or 475x = 38000. Now divide each side by 475. Now you have, x = 80%. Now you subtract. 100% - 80%. AND YOU GET 20%
Answer:
(-2, -6)
Step-by-step explanation:
Slope: 1
There are 20 pieces in the bag all together. Four are chocolate.
The probability of picking a chocolate with his eyes closed is 4/20.
In simplest form, that's 1/5 or 20% .
