Answer:
1.4-62=-60.6
Step-by-step explanation:
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Answer: choice A. 40 liters
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Explanation:
x = number of liters of the 50% alcohol solution
If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).
So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below
0.50*x + 36 = 0.70*(40+x)
0.50*x + 36 = 0.70*(40)+0.70*(x)
0.50*x + 36 = 28+0.70*x
36 - 28 = 0.70*x - 0.50x
8 = 0.20x
0.20x = 8
x = 8/0.20
x = 40
So that is why the answer is choice A. 40 liters
Answer:
5.83 = CD
Step-by-step explanation:
We can use the pythagorean theorem to solve
The legs are the x and y distances
x = (1- -4) = 5 units and y = 3 units
a^2+ b^2 = c^2
5^2 + 3^2 = c^2
25+9 = c^2
34 = c^2
Taking the square root of each side
sqrt(34) = c which is the distance from C to D
5.830951895 = CD
5.83 = CD
Answer:
8.1
Step-by-step explanation:
8.1 is the highest as you would look at the first number before the decimal and is the highest in this equation.
