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
Create formulas!
x=number of adult tickets
y=number of student tickets
x+y=644 <em>total sold</em>
56+y=x <em>student was 56 less than adult</em>
Perform substitution
(56+y)+y=644
56+2y=644
2y=588
y=294
Substitute y into the formula we created
x+294=644
x=350
350 adult tickets were sold.
Answer:
Use the figure at the right for Exercises 1-4
1) Name a pair of vertical angles.
Name a pair of adjacent angles with vertex M.
3) Name a pair of adjacent angles with vertex S.
N
4) Name a linear pair.
Step-by-step explanation:
Answer:
a=-32 if you think that was a good answer pls mark as brainliest
Step-by-step explanation:
a-(-14) is the same as a+14
a+14=-18
a=-32
