Question
Assume that Sunday is represented as day 0 , Monday is represented by day 1 , and so on. If today is Tuesday (day 2 ), determine what day of the week it will be 393 days after today. What is the day of the week 393 days after Tuesday? \( \square \) (Type your answer as a day of the week.)
Ask by Delgado Dawson. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Wednesday
Solution
We start by noting that the days of the week cycle every \(7\) days. Thus, to find the day of the week after \(393\) days, we determine the remainder when \(393\) is divided by \(7\):
\[
393 \div 7 = 56 \text{ remainder } 1
\]
This means:
\[
393 \equiv 1 \pmod{7}
\]
Since today is Tuesday (day \(2\)), after \(393\) days, the day of the week will be:
\[
2 + 1 = 3 \pmod{7}
\]
Given the numbering:
- \(0\) represents Sunday,
- \(1\) Monday,
- \(2\) Tuesday,
- \(3\) Wednesday,
the day corresponding to \(3\) is **Wednesday**.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To determine the day of the week 393 days after Tuesday (day 2), we first take 393 and find the remainder when divided by 7, since there are 7 days in a week. Calculating \( 393 \mod 7 \): 393 divided by 7 equals 56 with a remainder of 1 (since \( 393 = 7 \times 56 + 1 \)). Now we add this remainder to the current day, Tuesday (day 2): \( 2 + 1 = 3 \). Day 3 corresponds to Wednesday. So, 393 days after Tuesday will be **Wednesday**.
