Answer:
<h2>2x-10 = 65-x</h2><h2 />
Step-by-step explanation:
just add up both alternate internal angles as they are both equal
so, the equation is: 2x-10 = 65-x
The maximum value of the objective function is 330
<h3>How to maximize the
objective function?</h3>
The given parameters are:
Max w = 5y₁ + 3y₂
Subject to
y₁ + y₂ ≤ 50
2y₁ + 3y₂ ≤ 60
y₁ , y₂ ≥ 0
Start by plotting the graph of the constraints (see attachment)
From the attached graph, we have:
(y₁ , y₂) = (90, -40)
Substitute (y₁ , y₂) = (90, -40) in w = 5y₁ + 3y₂
w = 5 * 90 - 3 * 40
Evaluate
w = 330
Hence, the maximum value of the function is 330
Read more about objective functions at:
brainly.com/question/26036780
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Answer:
Ratio is the proportion between two numbers.
Percent is the ratio times 100.
Rate is the change of a number per unit time.
Step-by-step explanation:
1.A rate refers to the frequency by which a certain event happens while a ratio refers to the relationship between the size, number, or degree of two or more things.
2.A rate is a comparison between two measurements of the same units while a ratio is the proportion of one thing to another.
3.A rate refers to the fixed quantity of two things while a ratio refers to the relationship between various things.
4.A ratio indicates the difference between things while a rate indicates the changes in their measurements or units.
5.A ratio is indicated by the quotient of one quantity divided by the other while a rate is indicated by the comparison between two things.
Hope it helped ! Have a nice day
<span>12x+2y=86 -
6x+2y=56
-------------------
6x = 30 => x = 30 : 6 = 5
2y = 56 - 30 => 2y = 26 => y = 13</span>
