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:
Step-by-step explanation:
To rid the denominators, multiply both sides by 
.
We get:
Simplifying, we have:
Solving, we get:
Therefore, the solution with the greatest value is 
The reasonable estimate of the current customer price index is 195. The option B is the correct option.
<h3>Customer price index</h3>
Customer price index is the price index which measures the weight average of price of basket of customers goods or services.
It can be given as,
Here 
is the cost of market basket in current period and 
is the cost of market basket in the base period.
Cost of market basket in current period is
Cost of market basket in 1983 is,
Substitute all the values in the formula
Thus the value of current CPI is 168.5 which is near about the 170.
Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.
Learn more about the customer price index here;
brainly.com/question/25495502
Answer:
1) 125
2) 1
3) 27
Step-by-step explanation:
1) 5*5*5=
125
2) whenever there is an exponent of 0, the number is 1
3) 3*3*3=
27
Answer:
slope= 4,
Step-by-step explanation:
y = 4x-6
