Base 10 has the ten digits: {0, 1, 2, 3, 4, 5, 6,7, 8, 9}
Base 11 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A} where A is treated as a single digit number
Base 12 has the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B}
Base 13 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
Base 14 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D}
The digit D is the largest single digit of that last set. So the largest 3-digit base 14 integer is DDD which is the final answer
Note: It is similar to how 999 is the largest 3-digit base 10 integer
Answer:
First Olympic held in year 1896.
Step-by-step explanation:
Number of Olympiad held in Rio = XXXI = 31st
Difference of years in two consecutive Olympiads = 4 years
Number of years spent in 31 Olympiads can be calculated by,
Number of years spent = (n - 1)d
Here n = number of Olympiads held
d = difference between two consecutive Olympiads
Number of years spent till 31st Olympiads = (31 - 1)×4
= 120 years
Therefore, 1st Olympiad held in the year = 2016 - 120
= 1896
Answer:
y = -
x + 9
Step-by-step explanation:
0.5x + 0.6y = 5.4
0.6y = -0.5x + 5.4
Multiply 10 on all sides.
6y = -5x + 54
Divide 6 on all sides.
y = -x + 9
