There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
Answer:
1/4
Step-by-step explanation:
1st: you need to make a common denominator for 2/3 and 11/12 that would be 12, so you would keep 11/12 how it is but multiply the numerator and the denominator by 4 to get it to 12.
You would have ;
8/12+___=11/12
Then just do 11/12-8/12
so that would simplify out to 1/4
The answer is, (1, -5)...
Answer:
Box A's volume is bigger by 864 cubic inches
Step-by-step explanation:
12 × 18 × 24 = 5184
12 × 12 × 30 = 4320
Then we subtract. 5184 - 4320 = 864