You've been told fans will be given a free rally towel every 8 games. also the knicks are going to wear their throwback jerseys every 12 games. if the fans were given a rally towel and the knicks wore their throwback jerseys tonight how many games will it be untill the next time when both happened?

We need to find the lowest common multiple of 8 and 12.

Reminder that the LCM is the lowest number that divides evenly with both of the given numbers.

We can make a chart and see that:

Multiples of 8: 8, 16, 24, 32

Multiples of 12: 12, 24...wait! We have a match with 24!

Therefore, there will be 24 more games until both events will occur.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.