Answer:
We have
seats x ( 62 / 100 ) = (seats - 17,100);
seats x 62 = 100 x (seats - 17,100);
seats x 62 = seats x 100 - 1710000;
1,710,000 = seats x 38;
seats = 1,710,000 ÷ 38;
seats = 45,000;
The correct answer is c. 45,000 seats;
Step-by-step explanation:
Answer:
x > 3
Step-by-step explanation:
Missing part of the question
Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)
Answer:
![S_n = \frac{n}{2}(n - 1)](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%28n%20-%201%29)
Step-by-step explanation:
Given
For 5 people
![\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7D%7BPeople%7D%20%26%20%7BHandshakes%7D%20%26%20%7B5%7D%20%26%20%7B4%7D%20%26%20%7B4%7D%20%26%20%7B3%7D%20%26%20%7B3%7D%20%26%20%7B2%7D%20%26%20%7B2%7D%20%26%20%7B1%7D%20%26%20%7B1%7D%20%26%20%7B0%7D%20%26%7BTotal%7D%20%26%20%7B10%7D%20%5C%20%5Cend%7Barray%7D)
Using the given instance of 5 people, the number of handshakes can be represented as:
![(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0](https://tex.z-dn.net/?f=%28n%20-%201%29%20%2B%20%28n%20-%202%29%20%2B%20%28n%20-%203%29%20%2B%20........%20%2B%203%20%2B%202%20%2B%201%20%2B%200)
The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.
![S_n = \frac{n}{2}{(T_1 + T_n})](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%7B%28T_1%20%2B%20T_n%7D%29)
Where
--- The first term
--- The last term
So:
![S_n = \frac{n}{2}(n - 1 + 0)](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%28n%20-%201%20%2B%200%29)
![S_n = \frac{n}{2}(n - 1)](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%28n%20-%201%29)
Assuming your solving for y:
py+7=6y+q
-6y -7 -6y -7
(p-6)y = q-7
divide both sides by p-6
y=(q-7)/(p-6)