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.
EDITED: Answer: Phillip can order 12 different ways of ice cream.
Step-by-step explanation:
Ahem.
He can only have Vanilla or Chocolate. So let's pet them in a separate Row.
<u>Vanilla </u>
- With Sprinkles
- With Almonds
- With Hot Fudge
- With Sprinkles and Almonds
- With Sprinkles and Hot Fudge
- With Almonds and Hot Fudge
<u>Chocolate</u>
1.With Sprinkles
2.With Almonds
3.With Hot Fudge
4.With Sprinkles and Almonds
5.With Sprinkles and Hot Fudge
6.With Almonds and Hot Fudge
Answer:
22 in year book and 42 in drama
Step-by-step explanation:
there are in the yearbook club well if you slice them in half and give drama club 10 more than year book club
Answer:
C
Step-by-step explanation:
Parallel line slopes are always the same.
Answer:
186?
Step-by-step explanation: