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:
Addition Property of Equality
Step-by-step explanation:
So we had:

And then we got:

We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:

Since we added 2 to both sides, this is an example of the addition property of equality.
Answer:
hello i dont know
Step-by-step explanation:
Answer:
68 cm
Step-by-step explanation:
√289 = 17
each side is 17 cm
17 * 4 = 68 cm
D. Since we know that 1 ticket = $8 we would multiply to figure out how much 7 tickets were. (7x$8). And to figure out his change you would subtract the ticket amount from $100 :) Hope this helps