Answer:
-6.5
Step-by-step explanation:
n/-0.5=13
multipy by -0.5 so
n=
-6.5
Answer:
m<ABC=51°
Step-by-step explanation:
The inscribed angle is half the measure of the intercepted arc. This means that angle ABC=1/2 arc AC
Using this, let's make an equation
5x+11=(1/2)(16x-26)
5x+11=8x-13
11=3x-13
24=3x
x=8
Now go back to angle ABC and substitute for x
5(8)+11=51
m<ABC=51°
X = amount of 50% solution
y = total amount after mixing
Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.
We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80
next, apply the percentages to get an equation for the amount of alcohol:
0.4 y = 0.5 x + 16
Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
