Answer:
40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.
Step-by-step explanation:
13%(x) + 18%(50-x) = 14%*50g Multiply them all
0.13x + (9-0.18x) = 7
0.13x-0.18x + 9 = 7 Simplify the equation and subtract 0.13x from 0.18x
9-0.05x = 7 Add 0.05x to each side
9 = 7+0.05x Subtract 7 from both sides
0.05x = 2 Multiply each side by 100
5x = 200 Divide both sides by 5
x = 40
50 - 40 = 10
40 grams and 10 grams
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The given information permits us to calculate the circumference (C) of the wheel as follows

Then (as you said correctly!) the same wheel will move

after 16 rolls.
Answer:
70 decreases each stage
Step-by-step explanation:
350 / 5 = 70 decreases each stage
Since all decreases are equal and in 5 stages:
decreases * stages = total decreases
70 * 5 = 350
B. Yes, (1,4) is a solution
M to the power 4 squared minus 23