Answer:
t^2+4
Step-by-step explanation:
The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:
4t-6+2w=2t^2+4t+2
4t+2w=2t^2+4t+8
2w=2t^2+8
w=t^2+4
This means that the table's width is t^2+4
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:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from chart.</em>
Point (39, 36)
Point (40, 29)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract:
- Divide:
The mean is calculated by adding up all of the data points and then dividing the sum by the amount of points added.
The mean fitness score was 3.2 points. If all of the students scored the same thing (3.2 points) then this would be the fitness score of each student.
Thus, the answer is D. 3.2 points.
