Answer:
6 ounces
Step-by-step explanation:
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.
Answer:
h(x) = -x^2 - 1
Step-by-step explanation:
well y, h(x), f(x), n(x), or any other something of x is all the same thing y.
So if f(x) is -x^2 - 1,
Then h(x) is also -x^2 - 1
Answer:
a^2+B^2=c^2
Step-by-step explanation:
Area for a circle is

. We will fill in each area and then solve for the radius.

and

. ∴

and r = 13. For b,

and

.

, ∴ r = 17. For c,

, and

. ∴,

and r = 11. For d,

, and

. ∴,

so r = 25. And there you have it!