Answer: 9.5
Step-by-step explanation: took one for the team
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
Answer:
39.66
Step-by-step explanation:
If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
Divide like you usually do
Put decimal point directly above decimal point in the dividend.
Check your answer.
Answer:
10 units
Step-by-step explanation:
1. Do the square in the middle
2 x 2 = 4
2. Do the triangle on the left
2 x 2 divided by 2 = 2
3. Do the triangle on the right
4 x 2 divided by 2 = 4
4. Add them all up
4 + 2 + 4 = 10
