Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration 
, we have the following equation of motion
where s (m) is the total distance, ta = 3 s is the time
Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration 
, we have the following equation of motion:
tk = 4 s is the time
Since we can conclude that 
, so Alison would win.
The time it takes for Alison to cover the entire track
The time it takes for Kevin to cover the entire track
So Alison wins against Kevin by 6.93 - 6 = 0.93 s
Answer:
45%
Step-by-step explanation:
For simplicity, let use assume there are 100 students in the school.
No. of students to complete college = (30/100) x 100 = 30 Students
President wants to increase by 50% = (50/100) x 30 = 15 Students
New set goal = 30 + 15 = 45 students.
Total number of students = 100 students
Therefore;
Rate goal % = (45/100) x 100% = 45%
The area of the sector will also be 70/360
Sector area = 70/360 • pir^2
= 7/36 • pi • 8^2
A= 112/9 • pi
A= 39.1 inch^2
Answer:
33.33%
Step-by-step explanation:
We need to calculate the <u>unit selling price and cost of each cosmetics.</u>
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;
x = 1 cosmetic
since 360 = 12 cosmetic
cross multiply
12x = 360
x = 360/12
x = 30
Hence the unit cost price of the cosmetics will be Rs. 30
Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)
Selling price per unit = Rs. 40
Cost price per unit = Rs. 30
percent gain = SP-CP/CP * 100%
percent gain = 40-30/30 * 100
percent gain = 10/30 * 100
percent gain = 100/3
percent gain = 33.33%
Hence the percentage gain is 33.33%
