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.
Site vandal. Do not answer.
How many parking spaces are there?????
Answer:
The equation of the line would be y + 4 = -1/8(x + 6)
Step-by-step explanation:
To find the point-slope form of the line, start by finding the slope. You can do this using the slope formula below along with the two points.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - -5)/(-6 - 2)
m = 1/-8
m = -1/8
Now that we have the slope, we can use that along with one of the points in the base form of point-slope.
y - y1 = m(x - x1)
y + 4 = -1/8(x + 6)
FORMULA:
ANSWER:
We are given new side of square i.e, 2s + 3.
So, Area = (2s + 3)²
- (2s)² + (3)² + 2 × 2s × 3
- 4s² + 9 + 12s
Hence, The area of the new graph is a perfect square trinomial: __4__s² + __12__s +__9__.
