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The two solutions are $x = 6$ and $x = 1$. The larger value is:
If $3x + 2 = 17$, what is the value of $5x - 4$?
Solution: We are asked to find the greatest distance that divides 18, 24, and 30 evenly. This is the greatest common divisor (GCD) of the three numbers.
Therefore, the greatest distance that divides all three is 6 km.
We want the smallest $n$ such that $a_n > 100$:
So $n = 26$ is the first term exceeding 100 mm.
Thus, there are 26 terms in the sequence up to and including the first height exceeding 100 mm.
Question: What is the probability that a randomly selected positive integer less than or equal to 60 is a divisor of $360$?
Solution: First, count the number of positive divisors of $360$.
Since $360$ is divisible by $2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60$, etc.