Assuming that the histogram is represented by the given numbers:
7 days = 80 to 82 degrees Celsius
9 days = 82 to 84 degrees Celsius
6 days = 84 to 86 degrees Celsius
5 days = 86 to 88 degrees Celsius
3 days = 88 to 90 degrees Celsius
The days with a temperature below 86 degrees Celsius are day 7, 9, and 6. <span />
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:
We want a line that passes through the point (4, 7/2)
and we have no other information of this line, so we can not fully find it, but we can find a general line.
We know that a line can be written as:
y = a*x + b.
Now we want that, when x = 4, we must have y = 7/2.
7/2 = a*4 + b
b = -a*4 + 7/2
Then we can write this line as:
y = a*x - a*4 + 7/2.
Where a can take any value, and it is the slope of our line.
Answer:
The answer is 9
Step-by-step explanation:
8 x 5 = 40
8 x 4 = 32
5+4= 9
You're welcome hope this helps and have a great day :)
Answer:
Austin is correct.
Step-by-step explanation:
19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.
