Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

a cuckoo clock has birds that pop out of their nests every 6 minutes and dancers that pop out every 15 minutes. the birds and dancers have just popped out at the same time. when will this happen again in the next 60 minutes?

Sagot :

We get that the birds and the dancers will clock out again in 30 minutes.

We are given that:

a cuckoo clock has birds that pop out of their nests every 6 minutes.

And the dancers that pop out every 15 minutes.

Now, they have popped out the same time. For this to happen again, we will find the LCM of 6 and 15.

6 = 2 × 3

15 = 3 × 5

LCM = 2 × 3 × 5

LCM = 3 × 10

LCM = 30

So, they will pop out again after 30 minutes.

Therefore, we get that the birds and the dancers will clock out again in 30 minutes.

Learn more about LCM here:

https://brainly.com/question/10749076

#SPJ9