1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
4x/9 = 5/27
Multiply both sides by 9 to give
4x = 45/27
Now multiply both sides by 27 to give
108x = 45
Now divide both sides by 108 to give
x = 45/108
Reduce the fraction to give
x = 5/12
Answer:- 
Step-by-step explanation:
The given ration is 16 :40
In fraction, the above ratio can be written as : 
To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.
Since, 
, Hence, 8 is the greatest common divisor of 16 and 40.
Now, divide the numerator and denominator by 8, we get
Answer:
0.000002
Step-by-step explanation:
since its -6+2 you need to move the decimal place in 2, 6 places foward. So the number would go from 2 to 0.000002.
