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!
Is the 10 taking away 5 or was it meant to me 10.5 ?
Answer:
C.) 5
Step-by-step explanation:
If beth were 5 ( Making Julio 3)
Gerald is 10 and Debra is 20
10+20+5+3 = 38
I hope this helps you :)
C. 2x + 3
You have many ways to solve this!
You could...
A) multiply all the answer choices by 3x-2 and see what matches
B) Factor the trinomial
C) Divide the trinomial by the binomial using long division
Answer:
32
Step-by-step explanation:
(-8 × -6) - 4²
48 - 4²
48 - 16 = 32
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
