You can have yourself 10 milliliters of coffee
Let's find the rate that the inlet and outlet pipe can fill and empty the reservoirs. remember that rate*time = work done so if we let the rate of the inlet pipe be i and the outlet pipe be 0 we have
i(24) = 1
o(28) = 1
if you're confused about what the 1 is, it is the number of reservoirs because in the problem, it gives us the time it takes for each pipe to either empty or fill 1 reservoir. solving for r and t gives us:
i = 1/24 reservoirs/hour
o = 1/28 reservoirs/hour
in the first 6 hours the inlet pipe fills up (1/24)(6) = 1/4 reservoirs and the outlet pipe empties (1/28)(6) = 3/14 reservoirs so to find out how many reservoirs are filled we subtract emptied amount from filled amount:
1/4 - 3/14 = 1/28 reservoirs (note that if the amount emptied is greater than the amount filled you will obtain a negative answer. please just change that negative number to 0 because a negative answer simply means that emptying rate is greater than filling rate so you end up with no water).
now we need to figure out how long it will take to fill up 1 reservoir given we have already filled up 1/28 reservoirs and that the outlet pipe is finally closed. to put it in simple terms, how long will it take for the inlet pipe to fill up the rest of the 27/28 of the reservoir. good thing we've already found the rate the inlet pipe fills up reservoirs so we have the equation:
(1/24)t = 27/28
solving for t, we have 23.14 hours. make sure you remember to add 6 to the answer because the question wants us to include that time in our answer. doing so gives 29.14 hours.
let me know if you have any questions!
Answer:
Step-by-step explanation:
Ava had $28.50 to spend at the farmer's market. She bought three pumpkins from the $28.50 that she had to spend.
After buying the three pumpkins, she had $12 left. This means that the amount that she spent on the pumpkin would be the total amount she had to spend - the amount she had left. This becomes
28.50 -12 = $16.5
This means that the cost pet pumpkin would be total amount that she spent on pumpkin / the number of pumpkin that she bought. It becomes
The equation that will be used to find the price of pumpkin,P would be
P = cost of n pumpkins /number of pumpkins
Where n is the number of pumpkins
In this case
Price of one pumpkin, p = cost of 3 pumpkins / 3 pumpkins
P = 16.5/3 = $5.5
Step-by-step explanation:
If four players are left, then there are 117 – 4 = 113 players who have been eliminated.