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.
10 % = 24
20 % = 2 x 10%
20 % = 48
240 + 48 = 288
hope this helps you
Answer:
The tax is 8%
Step-by-step explanation:
Take the final price and subtract the original price
513-475 = 38
Divide by the original price
38/475 =.08
Change to percent form
8%
The tax is 8%
Assuming the sheet is a square
see diagram
the length will be 20-2x
the width will be 20-2x
and the height will be x
the volume will be (20-2x)(20-2x)(x)
Answer:
distance = rate x time
3 and 1/5 = 3.2 and 3 and 3/5 = 3.6
distance = 3.2 x 4.5 = 14.4
14.4 = 3.6 x T
T = 14.4 / 3.6 = 4 <--- Pedro's time
