Question

There are three sisters, of whom the eldest comes home once every five days, the middle sister every four days, and the youngest every three days. In how many days will all three meet together?

Answer 1

The three sisters will meet together every 60 days.

Step-by-step explanation:

In order to find the number of days that all three sisters will meet together, we need to find the least common multiple (LCM) of the three intervals at which they come home. The intervals are 5 days, 4 days, and 3 days.

To find the LCM, we can list the multiples of each interval and find the lowest common multiple:

1. Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
2. Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
3. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

The lowest common multiple of 5, 4, and 3 is 60. So all three sisters will meet together every 60 days.

Answer 2

Jacob is planning a hiking trip for this spring. The graph shows the relationship between time and distance for the hike.

Based on this information, which is the independent variable and the dependent variable? what is the a b c or d

Step-by-step explanation: