what numbers can all add up to 150 mins 3 weeks
There are several ways to approach this problem, but one common method is to use the formula for the sum of an arithmetic sequence:
S = (n/2)(a + l)
where S is the sum of the sequence, n is the number of terms, a is the first term, and l is the last term. In this case, we want to find all the possible combinations of numbers that add up to 150 minutes over 3 weeks, which is equivalent to 21 days or 1,260 hours.
Assuming that each day has the same number of minutes (i.e., no weekends or holidays), we can divide 150 by 21 to get the average number of minutes per day, which is approximately 7.14. We can then consider the number of days each week that have a different amount of minutes than the average:
- Week 1: 4 days x 7.14 mins/day = 28.56 mins
- Week 2: 7 days x 7.14 mins/day = 49.98 mins
- Week 3: 7 days x 7.14 mins/day = 49.98 mins
We can use these values as the last terms of the sequences, and then vary the number of terms and the first term to cover all the possible combinations. For example:
- 1 term: S = a = 150 mins (all the minutes on one day)
- 2 terms: S = (2/2)(a + 28.56) = a + 28.56; a can range from 121.44 to 150 (the remaining minutes)
- 3 terms: S = (3/2)(a + 28.56 + 49.98) = (3/2)(a + 78.54); a can range from 1 to 71.46 (the remaining minutes after subtracting a and the last 2 terms)
- 4 terms: S = (4/2)(a + 28.56 + 49.98 + 49.98) = 2a + 157.08; a can range from 1 to 46.46
- 5 terms: S = (5/2)(a + 28.56 + 49.98 + 49.98 + 28.56) = (5/2)(a + 157.08); a can range from 1 to 14.92
Note that some of these combinations may not make sense in practice (e.g., having all the minutes on one day), but they are mathematically valid. Also, there may be other ways to divide the minutes that are not covered by these sequences (e.g., having a mix of shorter and longer days), but again, this is just one possible approach.
simple form..? like all the mins added up togerther from 3 weeks and make them add up to 150mins
what numbers can all add up to 150 mins 3 weeks
simple form..? like all the mins added up togerther from 3 weeks and make them add up to 150mins
To figure out the numbers that can all add up to 150 minutes over 3 weeks, we need to divide the total time (150 minutes) by the number of weeks (3) and then by the number of days in a week (7).
To break it down step-by-step:
1. Start by finding the total number of minutes in a week:
7 days in a week * 24 hours in a day * 60 minutes in an hour = 10,080 minutes
2. Divide the total time of 150 minutes by the total number of minutes in a week:
150 minutes / 10,080 minutes = 0.01488095238
3. Multiply the result by the total number of days in a week:
0.01488095238 * 7 days = 0.1041666667
This means that every day, over 3 weeks, you need to spend approximately 0.1041666667 minutes to add up to a total of 150 minutes.