Answer:
- 33 1/3 liters of 30%
- 16 2/3 liters of 45%
Step-by-step explanation:
Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...
0.45x +0.30(50 -x) = 0.35(50)
0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)
x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl
33 1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.
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<em>Comment on the solution</em>
You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...
(mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3
For this case we must indicate an expression equivalent to:
For properties of powers we have to:
So, the above expression can be rewritten as:
Thus, the resulting expression is: 
Answer:
Option D
Answer:
Step-by-step explanation:
Using the mean concept, it is found that the average score of Adrian’s favorite team relative to its opponent using the observations Adrian made during the game is of -0.3333.
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The mean of a data-set is given by the sum of all observations divided by the number of observations.
Adrian looked the scores every 10 minutes in 2 hours, thus 12 times, as .
4 times ahead by 3 points, thus
4 times behind by 4 points, thus
At the other moments, the game was tied, thus the observation is 0.
Thus, the mean is of:
The average score of Adrian’s favorite team relative to its opponent using the observations Adrian made during the game is of -0.3333.
Wow this ones easy.....Your in high school and i'm in middle school LOL...I'll answer the question.You have to <span>multiplied it by 10</span>
I believe it is the last option, but pleae don’t come for me if you get it incorrect. But if that is the case, I apologize in advance for any inconveniences this may cause.
Kind regards!
