Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
Answer:
72 minutes until they play again
Step-by-step explanation:
18+18+18+18=72
24+24+24=72
Answer: 72 minutes
======================================================
Explanation:
The GCF of 18 and 24 is 6, since this is the largest factor shared between the two numbers
- 18 = 6*3
- 24 = 6*4
To find the LCM, we'll involve the GCF. The LCM of two numbers x and y is found by multiplying them, and then dividing over the GCF of them.
LCM of x and y = (x*y)/(GCF of x and y)
LCM of 18 and 24 = (18*24)/6
LCM of 18 and 24 = 432/6
LCM of 18 and 24 = 72
-----------
To help confirm this, we can list out the multiples of each
- multiples of 18 are: 18, 36, 54, 72, 90, ...
- multiples of 24 are: 24, 48, 72, 96, ...
We see that 72 is the lowest common multiple. This is the final answer because each station will play the same song 72 minutes apart.
The stations play the same song at 3 PM. Then 72 minutes later (4:12 PM), the same song is played again on both stations at the same time. Then at 5:24 PM, another 72 minute gap, is when the same song is played again at the same time. And so on.
----------
Side note: 72 minutes = 60 min + 12 min = 1 hr, 12 min
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
Simplify each side of the following equation before applying the addition propertyx − 9 + 6 = −5 − 4