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.
Y=12
x=6
The triangle is a 30-60-90 triangle!
Answer:
So the value of s = 7
cm
Step-by-step explanation:
We know that, Area of a triangle = 1/2 * b * h
So, base = 24 cm
height = s
Area = 1/2 * b * h
=>84 = 1/2 * 24 * h
=>84 = 12 * h
=>84 / 12 = h
=> 7 = h (in cm)
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