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.
f(x) = x^2 − 5x/( x^2 − x − 20 ), x = 5.5, 5.1, 5.05, 5.01, 5.005, 5.001, 4.9, 4.95, 4.99, 4.995, 4.999
vivado [14]
<span>the answer is 0.1 (have to type in stuff because of the 20 char limit)</span>
She needs to sell around 397 more shirts.
Divide 700 by 20.5. This will give you the amount of shirts she has already raised with is 36 (more accurately 36 6/41). Next divide 8900 by 20.5. This is the amount of shirts she needs to sell in total, which is 434. Subtract these two values.
Hope this helps
2 equal angles is the correct answer
Answer:
Fox is faster by 7 MPH
Step-by-step explanation:
1. determine how fast each animal runs per hour
rabbit = 35 MPH
fox = 21 per half hour (multiply by 2 for hour) 21*2=42 MPH
2. Subtract rabbits speed (35) from foxs speed (42)
42-35= 7 mph
