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stiks02 [169]
3 years ago
6

Help please!! What is the answer?

Mathematics
1 answer:
Doss [256]3 years ago
6 0
The area formula for a parallelogram is the same as it is for a square or a rectangle.  It's A = b*h.  They give you the area and the height, and x is part of the radicand for the base.  Set it up like this: 42= \sqrt{x+6} *7.  Divide both sides by 7 to get 6= \sqrt{x+6}.  Now, the opposite of a square root is squaring, so let's undo that square root by squaring.  But because this is an equation, if you square the right you also have to square the left. (6) ^{2}=( \sqrt{x+6}) ^{2}.  Squaring that square root undoes the square root, so now what we have is 36 = 6 + x, and 30 = x.  There you go!
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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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