Answer:
Step-by-step explanation:
Let's convert this statement into a system of two equations
3 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $11
4 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $10
cost of a liter of milk = x
cost of a loaf of bread = y
3x + 5y = 11
4x + 4y = 10
You can now solve this using either substitution or elimination
I'll use elimination. Let's say I want to get rid of the x first. I need to choose numbers to multiply by the top and bottom equations to eliminat the x's. The easiest way to do this is to multiply them by each other. So we'll multiply the top by 4 and the bottom by 3. We'll need to make sure the signs are opposite as well so I'll make that a negative 3 on the bottom.
4 * (3x + 5y = 11)
-3 * (4x + 4y = 10)
12x + 20y = 44
-12x - 12y = -30
Now add straight down
0x + 8y = 14
8y = 14
y = 14/8 = $1.75
Now we can plug this back in to either equation to find the x. I'll choose the second equation
4x + 4*(1.75) = 10
4x + 7 = 10
4x = 3
x = 3/4 = $0.75
So, cost of a liter of milk = x = $0.75
and cost of a loaf of bread = y = $1.75
Answer:
True
Step-by-step explanation:
Pretend you are playing a marble game. All the marbles are in a bowl. You notice there are more green than red and blue marbles so you will be most likely to get the green marble.
The opportunity cost of producing 3 military outfits is -30.
The opportunity cost of producing 4 military outfits is -35.
The opportunity cost of producing 5 military outfits is -50.
As military outfits increase, the opportunity cost decreases.
<h3>What is opportunity cost?</h3>
Opportunity cost of the next best option forgone when one alternative is chosen over other alternatives. It is the number of consumer products that would not be produced when a producer decides to produce military outfits instead.
<h3>What is the opportunity cost of producing military outfits?</h3>
Opportunity cost = change in consumer products / change in military
The opportunity cost of producing 3 military outfits = (85 - 115) / (3 - 2) = -30
The opportunity cost of producing 4 military outfits = (50 - 85) / (4 - 3) = -35
The opportunity cost of producing 5 military outfits = (0 - 50) / (5 - 4) = -50
To learn more about opportunity cost, please check: brainly.com/question/26315727
Answer:
X=2, y=8
Step-by-step explanation:
Y=-x+10 equation 1
y=2x+4 equation 2
-x+10=2x+4. Substitute y of first equation into 2nd equation
-x-2x+10=4
-3x=4-10
-3x=-6
x=2
solve for y by inserting x value into either equation
y=-x+10
y=-2+10
y=8
check answer
y=2x+4
8=2(2)+4
8=4+4
8=8
