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
Kidjov the answer I came up with for you is 792 I hope this helps
Answer:
x = 13
Step-by-step explanation:
1. 4x + 1 = 8x - 51
2. 4x = 8x - 52
3. -4x = -52
4. x = 13
Answer:
The angle between the building and the ladder
6.9°
Step-by-step explanation:
Given data
AB = 50 ft = length of the building
BC = 6 ft
= Angle between the ladder & building
From Δ ABC


6.9°
This is the angle between the building and the ladder.
Answer:
320.6
Step-by-step explanation:
<u>Three hundred twenty = 100 * 3 + 10 * 2 = 320</u>
<u>Six tenths: 0.1 * 6 = 0.6</u>
<u />
320 + 0.6
320.6
Answer: 320.6