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!
if the length is 8ft and the width is (7+x) then the area would be 56+8x, if x is unknown.
Zero pair is a pair of numbers whose sum is zero, used to illustrate addition and subtraction problems... with positive and negative integers.
e.g. +1 -1
I hope that this helps
:)
Answer:
294 cubic ft.
Step-by-step explanation:
All you do is just multiply the length, width, and height!
3 × 14 × 7 = 294
hopefully this helped :3
It is best represented by a plane.