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:
ｙ = 7x - 4
just as it says in words
The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers
you solve for x and get 4x= 428 and x=107
so 321 hamburgers were sold that day.
Sin(x)=40/50
x= sin^-1(40/50)
x= 53.1301023542—>53.1 rounded to the nearest tenth
angle of elevation is 53.1
If you were asking for how many packages you would like if each you would want one pack of crackers, and two packages of cheese. Simple math. The reason why you get that answer and that equation/solution, is by simply make ing the cheese grater then the crackers, but if the cheese is lower then the crackers, you get more cheese packages because then you get two times the cheese and you will have enough cheese for all the crackers. You may have a little bit of cheese left, but who doesn't like it plain? That is the answer.
