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:

Step-by-step explanation:
1) we know that
Sally can paint the wall in 54 minutes
so
The 100% of the wall ------> she can paint in 54 minutes
by proportion
calculate how much is the percent of the work in 36 minutes

That means
Sally in 36 minutes can paint the 66.67% of the wall
2) Sally and Ethan work together, they can paint the wall in 36 minutes
so
Ethan in 36 minutes can paint (100%-66.67%)=33.33%
by proportion
Calculate how much time does it take for Ethan to paint the wall by herself

X - the score he must get

He must get at least 92 points.
Answer:
Use m athway
Step-by-step explanation:
The measure of and adjacent angle is less than the measure of the exterior angle