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:
4877 fish
Step-by-step explanation:
Each year, the fish population is multiplied by 1-6% = 0.94, so after 8 years it has been multiplied by 0.94^8 ≈ 0.609569.
At that time, the population is ...
8000×0.609569 ≈ 4877 . . . fish
To find the total amount
The formula is
A=p (1+r)^t
A total amount?
P present value 1050
R interest rate 0.06
T time 25 years
A=1,050×(1+0.06)^(25)=4,506.46
Interest amount
I=A-p
I=4,506.46−1,050
I=3,456.46
The expression (3x - 2)/(x + 4) = 0 has a value of x is 3/2. Amd the expression 2/(x + 4) = 0 has a value of x is ∞.
<h3>What is simplification?</h3>
Simplification is to make something easier to do or understand and to make something less complicated.
The expression is given below.
(3x - 2)/(x + 4) = 0
Then on simplifying, we have
3x - 2 = 0
3x = 2
x = 3/2
And
2/(x - 3) = 0
2 ≠ 0
More about the simplification link is given below.
brainly.com/question/12616840
#SPJ1
10 Lima beens
8 red beans
2 black-eyed beans
