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
Hi, hope this helps you. Have a good day. :)
Answer:
A = $5,417.42 (balance of the account)
I = $2,617.42
Answer:
20 in³
Step-by-step explanation:
Area of a triangle is half the base times the perpendicular height:
A=0.5bh
=0.5*10*4
=20
Answer:
D
Step-by-step explanation:
Take it step by step.
The area of a rectangle is width times length.
We know the length is 7 since it's given, and we can find the width by adding shared sides of the square and triangle.
So the width is 10 + 14 or 24
That means the area of the rectangle is 7 * 24
The area of the second rectangle is 12 * 14, since they are both given.
Finally, the area of the triangle is 1/2 of the base times height and we can find the height by looking at the shared side and using the definition of a rectangle.
So the area of the triangle is 1/2 of 10 * 12.
Answer: Ricky: 1204, Pedro: 1481
Step-by-step explanation:
If Pedro hit 277 more base hits that Ricky, and together they hit 2685, then
2685=2x+277
2x=2408
x=1204
so Ricky hit 1204 base hits and Pedro hit 1481.
check: 1204+1481=2685
