Answer:
x = 26
angle QOR = 31
angle ROS = 59
Step-by-step explanation:
Sub x in
and
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:
x=6
AC = 28
Step-by-step explanation:
4x+4= AC
4x +4 = 14 + 3x -4
4x-3x= 14-4-4
x = 6
AC = 4(6) +4 = 24+4 = 28
7.5 %
Step-by-step explanation:
We by finding how far from the mean the 999 volume caps are, using z score;
Z = (x – μ) / σ
Z = (999 – 998) / 7
Z = 0.143
We use the z-table to find the confidence levels;
= 85%
= 0.85
Since we are finding proportion of bottles have volumes greater than 999
mL;
1 – .85 = .15
0.15/2 = 0.075
= 7.5%
