Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Answer:
12
Step-by-step explanation:
18 -6
12
Hope that this helps you and have a great day :)
Answer:

Step-by-step explanation:

Adding 10 to both sides.


Adding
to both sides.


Dividing both sides by 10.


∴ 
The unknown number equals x. (you can use any other letter)
the unknown number is being subtracted by 3.
x-3.
now if it is no more than 2, it must be less than 2,
x-3<2
hope this helps
They ate 2/3 together. And, they have 1/3 left!