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:
6
Step-by-step explanation:
.....ur welcome.........
For number 9, you know that it makes 40 copies every five minutes. All you have to do is divide 40 by 5.
40 ÷ 5 = 8
It makes 8 copies every minute.
Your chart can also help you check your answer. It says that it makes 96 copies every 12 minutes and it makes 104 copies every 13 minutes. So multiply 8 by 12 to check it and 8 by 13.
8 • 12 = 96
8 • 13 = 104
Since those answers match up with the chart, it must be correct.
The photocopier makes 8 copies every minute. Hope that helps!
Answer:
(-2/7, 2/3)
step-by-step explanation:
-7x + 3y = 2
x = 0
-7(0) + 3y = 2
3y = 2
/3 /3
y = 2/3
y = 0
-7x + 3(0) = 2
-7x = 2
/-7 /-7
x = -2/7
(-2/7, 2/3)
