Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

7 0

2 years ago

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3x − 6y = –6 x = 2 solve using substitution.

nordsb [41]

Answer:

y=2

Step-by-step explanation:

First, you substitute x with 2.

3(2)-6y=(-6)

Then, you multiply:

6-6y=(-6)

Next, you subtract 6 from -6. So, the first 6 gets crossed out because of inverse of operation.

-6y=-12

Finally, you divide -6 to both sides of the equation to get y=2

3 0

2 years ago