Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is


where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as



Now, we can say that m>n because m and n are positive integers.
For n=1,


19 is not divisible by 5 so m is not an integer for n=1.
For n=2,



The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

Therefore the smallest positive integer solution to the given system of congruences is 30.
Answer:
Step-by-step explanation:
7x + 8y + 5z
I put the equations in parentheses, assuming that I would be adding both of the equations together. Then, I removed them and combined the like terms. I used two calculators to check my answer, and this should be correct.
There is no outliers though 102 and 9 are the furthest numbers from the rest, but not a significant outlier
Answer: The the speed of elevators is 22.55.
Explanation:
It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.
The speed is the change in distance with respect to time.

From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,


Therefore, the speed of elevators is 22.55.