Answer:
1.25 cups
Step-by-step explanation:
The inicial concentration of the 10 cups of mixture is 10% of white vinegar and 90% water. We can then calculate the number of cups of white vinegar in the mixture:
Amount of white vinegar = 10% of 10 cups = 1 cup of white vinegar
Concentration of white vinegar = 1/10 (cups of white vinegar over cups of mixture
So, if we want to add white vinegar (x cups) until the mixture will be 20% white vinegar and 80% water, we have that:
Amount of white vinegar = (1+x) cups of white vinegar
Total number of cups in the mixture = 10+x
Concentration of white vinegar = 20% = (1+x)/(10+x)
(1+x)/(10+x) = 0.2
1 + x = 2 + 0.2x
0.8x = 1
x = 1.25 cups
You need to add 1.25 cups of white vinegar.
Answer:
3.7644133+13 is the answer
The answer to your problem is 800,000.
Hey there!
You got the first part right where you added r to both sides. However, you need to make sure that you complete all actions on both sides, including canceling out parts of terms by division. The only thing you need to do is divide both sides by h instead of just the left. This will make your answer:
Hope this helped you out! :-)
Answer:
Runner Up Amount=$16,000
Winner Amount=$64,000
Step-by-step explanation:
Amount of the college's scholarship=$80,000
The fund is being divided between the top two contestants so that the winner receives four times as much as the runner-up.
Therefore: we can say it is being divided into 5 parts where the winner gets 4 parts and the runner up gets 1 part, i.e in the ratio 4:1.
Runner Up Amount
Winner Amount
The winner gets $64,000 and the runner up gets $16,000.