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:
100°
Step-by-step explanation:
360 degrees around a point.
140 + 120 = 260
360 - 260 = 100
Hello :)
The first one would be a rotation because it was easily rotated upward , it looks like it was rotated maybe 90°, The second one would be translation because it is simply moved upward and moved slightly to the right without be resized, rotated, or anything. The third one would definitely be a reflection because it appears to be flipped across the x axis. The fourth one i'm not really sure but i'm going to guess it is a rotation because it is turned in a different direction from the original figure.
Answer:
0.18% probability that they are all women
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the senators are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
3 women, from a set of 13. So
Total outcomes:
3 senators, from a set of 100. So
Probability;
0.18% probability that they are all women
Answer:
log(342) - 121
Step-by-step explanation:
-121 + log(342) is a transcendental number
-115.165189262937394847783249972808918485...
