Y = 7x - 24
<u>y = -3x+ 16</u>
2y = 4x - 8
<u>2y</u> = <u>4x - 8
</u> 2 <u /> 2 <u>
</u>y = 2x - 4
2x - 4 = 7x - 24
<u>-2x -2x </u>
-4 = 5x - 24
<u> +24 +24</u>
20 = 5x
<u>20</u> = <u>5x</u>
5 5
4 = x
y = 2x - 4
y = 2(4) - 4
y = 8 - 4
y = 4
(x, y) = (4, 4)
<u />
Answer:
The consumer surplus in this market will be $0.70. This is false.
Step-by-step explanation:
There are four consumers A, B, C, and D.
The consumers are willing to pay for a glass of lemonade as $1.50, $1.20, $1.00, and $0.90 respectively.
The actual price of lemonade is $1.00 per glass. So, the consumer surplus in this market will be 
= $0.60
Hence, the given condition is False.
Answer: 55 
feet² or 55.556 feet²
Step-by-step explanation:
The scale means that for ever one in the scale drawing, it is 20 in the actual room. We will convert the dimensions using proportions.
100 = x
-> The length is 100 inches
80 = x
-> The width is 80 inches
The area of a rectangle can be found by multiplying the length by the width:
A = L * W
A = 100 * 80
A = 8,000 inches²
To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.
8,000 inches² / 144 = 55 feet²
The area of the room, in square feet, is 55 feet².
The formula for the area of a triangle is A = (base · height)/2, but when we look at this problem, there's no base or height!
Looking at the triangle on the right, we can use the Pythagorean Theorem to find the height:
h² + 16² = 20²
h² + 256 = 400
h² = 144
h = ± 12
In this case, the height is 12 because you can't have negatives when you are working with lengths of sides and other things like this in geometry.
So now we've found the height, but we still don't know the full base! So, we can use the height that we just found to use the Pythagorean Theorem for the left triangle!
B² + 12² = 15²
B² + 144 = 225
B² = 81
B = ±9
So once again, our answer is just 9.
But, because the base is CB, we have to add:
b = 9 + 16
b = 25.
Now we have the base and height, so we can put them into our formula to solve for the area of the triangle:
A = (25 · 12) / 2
A = 300 / 2
A = 150
3.0? pretty sure that’s the answer
