Answer:
36000 different ways
Step-by-step explanation:
If we have 5 boys and 3 girls, the total number of people we have will be 5+3 = 8 people. If there are no restrictions, this 8 people can be arranged in 8! different ways.
8! = 8*7*6*5*4*3*2*1
8! = 40,320 ways.
If 3 of the girls are to sit together, then we will take the girls as an entity. The total number of people if the girls are treated as one will be 5 boys and a girl which is 6. They can all be arranged in 6! ways but also note that the 3 girls can be rearranged among themselves in 3! ways. The total number of arrangement if the 3 girls are to sit together will be 6!*3!.
6!*3! = 6*5*4*3*2*3*2
6!*3! = 4320 different ways
The number of different ways if no girls are to seat together = 8!- (6!*3!)
= 40,320 - 4,320
= 36000 different ways
Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.
Work:
In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.
So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.
25/2 = 12.5
That means, the vehicle is traveling at a speed of 12.5 mph.
Thus, the average speed of the vehicle is 12.5 miles per hour (mph).
Answer:
x=35
y=72.5
Step-by-step explanation:
y=(180-35)/2
y=145/2
y=72.5
Answer: 1540
Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.
Answer:
The answer is B
Step-by-step explanation:
-2 = 2/3(1) - 8/3 = -2
-2 = -2
