At Eglinton subway station the 54 Lawrence bus leaves the station every 18 minutes. The 34 Eglinton Bus leaves every 30 minutes. The 28 Mt Pleasant Bus leaves the station every 11 minutes. Assuming the buses run 24 hours a day at what time interval do all three buses leave the station together?(Show all steps, write the answer in hours)

the distance a person can see at sea is measured in miles by using the formula d=the square root of 3over 2 h is the height in ft above sea level.About how many miles can a person see that is 8ft above sea level?round the answer to the nearest tenth of a mile.

the buses meet every 16 hours and 30 minutes

To find the time interval at which all three buses leave the Eglinton subway station together, we need to find the least common multiple (LCM) of their departure frequencies.

Step 1: Find the LCM of the departure frequencies of the buses.
- The departure frequency of the 54 Lawrence bus is 18 minutes.
- The departure frequency of the 34 Eglinton bus is 30 minutes.
- The departure frequency of the 28 Mt Pleasant bus is 11 minutes.

To find the LCM, we need to identify the prime factors of each departure frequency and find the highest power of each prime factor that appears in any of the numbers. We can use prime factorization to achieve this.

Step 2: Prime factorization of each departure frequency.
- 18 = 2 * 3^2
- 30 = 2 * 3 * 5
- 11 = 11

Step 3: Identify the highest power of each prime factor.
- The highest power of 2 is 2^1.
- The highest power of 3 is 3^2.
- The highest power of 5 is 5^1.
- The highest power of 11 is 11^1.

Step 4: Multiply the prime factors raised to their highest power.
LCM = 2^1 * 3^2 * 5^1 * 11^1
LCM = 2 * 3^2 * 5 * 11
LCM = 2 * 9 * 5 * 11
LCM = 990

Step 5: Convert the LCM to hours.
Since the LCM was found in minutes, we need to convert it to hours by dividing by 60.
LCM in hours = 990 / 60
LCM in hours = 16.5

Therefore, all three buses leave the Eglinton subway station together every 16.5 hours.