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.
Answer:
254,625
Step-by-step explanation:
G^5 -g = g(g^4 -1)=g(g^2 -1)(g^2 +1) = g(g-1)(g+1)(g^2 +1)
24g^2 -6g^4 = 6g^2(4 -g^2) = 6g^2(2 -g)(2 +g)
C i just took the test hope this helps:-)
Answer:
x = 45.25 and 2x + 9.50 < 100
Step-by-step explanation:
Okay, so I dont know if you want am explanation but here I go
if for each game shipping is 4.75, you multiply by 2 to find the total there, hence 9.5.
and you dont want to go over $100, so the amount you spent has to be less then $100
and you're going to buy 2 games, x stands for the price.
2x + 9.50 < 100
2x < 90.5 (i just subtracted 9.5 on each side)
2/2x = 90.5/2
x = 45.25