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
Trial and error specifies that you should guess the value of m and see if you aimed too low too high then adjust your next guess based on that.
Suppose we don't already know what m is (even though it is completely obvious), let's pick m to be 6,
So we check, but which means m must be bigger.
So we pick m to be 8 and check, but which means m must be smaller.
Since only natural number between 6 and 8 is 7 we pick m to be 7 and check, and .
The answer is therefore 7.
Hope this helps :)
Answer:
1. Communative Property
2. Associative Property
3. Zero Property
Step-by-step explanation:
Answer:
x=6
XY=24 units
YZ=18 units
Step-by-step explanation:
we have that
Y is between X and Z
substitute the given values and solve for x
therefore