Answer:
(-1 1/2, 6)
Step-by-step explanation:
The mid point between A(-3,6) and B(0,6) represents the coordinates of point P, which is (x,y)
Hence,the coordinates, that is, AP: x = (-3 + 0)/2 = -3/2 = -1 1/2
also, BP: y = (6 + 6)/2 = 6
Therefore, the coordinates of point P = ( -1 1/2, 6)
Let us start with assuming the amount of coffee worth $20 a pound to be "x" pounds.
Now she wants to mix "x" pounds of $20 coffee with 70 pounds of $90 coffee.
So the mixture would be (x + 70) pounds.
And the value of mixture would be = 20·x + (90)·(70) = (20x + 6300) dollars.
She want to sell this mixture at rate of $30 a pound. Her earning would be = 30·(x + 70) = (30x + 2100) dollars.
We know that the value of mixture would be equal to her earnings.
30x + 2100 = 20x + 6300
30x - 20x = 6300 - 2100
10x = 4200
x = 420
So, 420 pounds of $20 coffee would be used.
Answer:
3x + 15 = 3*10 + 15 = 30 + 15 = 45
<u>3x + 15 = 45</u>
Now,
2x + 25 = 2*10 + 25 = 20 + 25 = 45
<u>2x + 25 = 45</u>
Step-by-step explanation:
3x + 15 + 2x + 25 = 90
or, 5x + 40 = 90
or, 5x = 90 - 40
so, 5x = 50
so, x = 50/5 = 10