Answer:
(-4.666667, -3.16667)
Step-by-step explanation:
(-4 2/3, -3 1/6)
Answer:
38
Step-by-step explanation:
The simplest (almost trivial) solution is to add the two inequalities:
(x +3y) +(3x +2y) ≤ (13) +(25)
4x +5y ≤ 38
The maximum value of P is 38.
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Perhaps more conventionally, you can graph the equations, or solve them to find the point of intersection of their boundary lines. That point is (x, y) = (7, 2), which is the point in the doubly-shaded solution space that gives the maximum value of P (puts the objective function line farthest from the origin).
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In the attached graph, we have been a little sloppy, not applying the constraints that x, y ≥ 0. For the purpose of finding the requested solution, that is of no consequence.
Answer:
7 - 2.25
= 7 - 2
= 5 - 0.25
= 4.75
9 - 1.9
= 9 - 1
= 8 - 0.9
= 7.1
I hope this helps and that you have a great day!
<em />
<em>Ravenna</em>
Answer:
To convert ml to L you would divide your number by 1000, because 1L=1000ml
3,450/1000= 3.45
3,450ml = 3.45L
Answer:
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Liters of 60% acid solution needed = 10
x = Number of liters of the 50% solution
y = Number of liters of the 90% solution
2. Which equation represents the total liters of acid that are needed?
There are two equations needed:
The first one related to the total liters needed, 10 in this case:
x + y = 10
The second one related to the acid concentration of the 10 liters:
0.5x + 0.9y = 10 * 0.6
0.5x + 0.9y = 6
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Solving for x and y in the 2nd equation, we have:
0.5 (10 - y) + 0.9y = 6
5 - 0.5y + 0.9y = 6
0.4y = 6 - 5
0.4y = 1
y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)
The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.
