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.
Prime number is a whole number that has no possible divisors that 1 and itself. Prime numbers are 2, 3, 5.7.11,13,17,19,23 and 29. From 1 to 10 there are 3 prime numbers: 3,5 and 7.
The probability can be calculated as the ratio between the number of "good" events and the total number of possible events. There are three "good" events (3,5 or 7) and 10 total events, so the probability that the spinner lands on a prime number is: 3/10. So, none of the given options is true.
Answer:
.5 Ounces
Step-by-step explanation:
You would divide 12.5 by 25 i believe to get this answer.
Answer:
x
=
5
±
i
√
11
/6
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x
.
Answer:
8%
Step-by-step explanation:
To find the percent, divide 16 by 200, then multiply it by 100.
(16 / 200) x 100
0.08 x 100
= 8
So, 16 is 8% of 200
