Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
Answer: (-2, 11/6)
Step-by-step explanation:
53y-42y=55
11y=55
Y=55/11 =5
Answer:
If both computers are working together, it will take 24 minutes to do the job
Step-by-step explanation:
It is given that,
There are two computers.The slower computer can send all the company's email in 60 minutes.
The faster computer can complete the same job in 40 minutes
<u>To find the LCM of 40 and 60</u>
LCM (40, 60) = 120
<u>To find efficiency of 2 computers</u>
Let x be the efficiency of faster computer and y be the efficiency of faster computer
x = 120/40 = 3
y = 120/60 = 2
then, x + y = 3 + 2 = 5
Therefore efficiency of both the computer work together = x + y =5
<u>To find the time taken to work both the computer together</u>
time = 120/5 = 24 minutes
Answer:
-2/9
Step-by-step explanation:
first you are going to distrubute 2/5, so 2/5 times x is 2/5x and 2/5 times -2 is -4/5
next you set up the problem with those two answers which gives you:
2/5x - 4/5 = 4x
then multiply both sides of the equation by 5: 2x-4=20x
next move the constant to the right side and chnage the sign: 2x=20x+4
then combine like terms: -18x=4
after that divide both sides of the equation by -18: -2/9
so x= -2/9