The formula of a distance between two points:

We have the points (-1, 8) and (5, -2). Substitute:

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.
The answer is 38 over 100 cups. Simplified = 19 over 50. All you do to get the answer is put 38 over 100. Then divide 38 by 2. Then divide 100 by 2.
Answer:
24 - X = 10
Step-by-step explanation:
Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:
Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.
Thus, this equation is solved in the following way:
24 - X = 10
24 = 10 + X
24 - 10 = X
14 = X