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.
The greatest common factor is the biggest number taken from the values.
Q1. The answer is <span>A. 5y^6
</span>
Since
, then
Back to our expression:
The greatest common factor is thus
Q2. The answer is <span>D. 12xy^2
</span>
We will use the rule
to factorise the exponents:
The greatest common factor is thus
Steps:
2 1/3 * 3 = 7
14 * 3 = 42
42 divided by 7 = 6
6 * 8 = 48
So, Maggie is 48 feet under the summit (-48). Therefore, the correct answer is d.
A = D/BC. In order to isolate A, all you do is divide by BC