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:
17/50.
Step-by-step explanation:
If we convert 3 2/5 into an improper fraction, we get 17/5.
If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.
The question says "her AND her 9 friends," so there are 9+1=10 people total.
Thus, the answer would be
17/5 ÷ 10 = 17/5 * 1/10 = 17/50.
Decimal places mean we just start counting immediately after the decimal point, so:
2dp: 0.00
1dp: 0.0
Significant figures, we start counting starting at the first non zero number
So we start counting at the 9, therefore:
2sf: 0.00097
3sf: 0.000965