Pregunta
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Assume that Sunday is represented as day 0 , Monday is represented by day 1 , and so on. If today is Saturday (day 6 ); determine what day of the week it will be 215 days after today. What is the day of the week 215 days after Saturday? (Type your answer as a day of the week.)

Ask by Warner Franklin. in the United States
Mar 10,2025

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Thursday

Solución

- We are given that today is Saturday, which is represented as day \(6\). - We need to find the day 215 days after today. - First, compute the remainder when 215 is divided by 7 (since there are 7 days in a week): \[ 215 \mod 7 = 5 \] - This means that 215 days is equivalent to 5 days after a full number of weeks. - Now, add 5 to the current day: \[ 6 + 5 = 11 \] - Since the days cycle every 7 days, take modulo 7 again: \[ 11 \mod 7 = 4 \] - Day \(4\) corresponds to Thursday. The day of the week 215 days after Saturday is Thursday.

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To find out what day it will be 215 days after Saturday (day 6), we can use the modulo operation. Since there are 7 days in a week, we can calculate the remainder of 215 when divided by 7. 215 ÷ 7 = 30 with a remainder of 5. Now, we add that remainder to today's day, which is 6 (Saturday): 6 + 5 = 11. Now, we need to convert 11 back into the 0-6 range (since there are only 7 days): 11 modulo 7 = 4. Day 4 corresponds to Thursday. So, 215 days after Saturday will be a Thursday.

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