5 x 5 x 5
Expanded just means writing it out as you would solve it. So solving a cube would be multiplying the number by itself 3 times
1/6(36 + 1/2) = 6 + 1/12 = 72/12 + 1/12 = 73/12
Answer:
0.06 cents per ounce
Step-by-step explanation:
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
This is never true. In a parallelogram, the diagonals will always bisect each other. Thus, each of these segments would always have to be equal.