8. In a mock school election 5/7 of the students voted. There are 1095 ballots. Write and solve a equation to find the number of students in the school.​

Alright, this is a fairly simple equation if you consider the overall question. As the question states, every 5 of out 7 students voted in the election. This means that five sevenths of all students in the school casted a vote.

Now, what can we do with this information? Well, we know that there were 1095 votes in total. This means that five sevenths of the school who voted represents 1095 students.

Can you see the equation you need to write now? Let's use a simple equation with the variable 's' to represent the total number of students:

* s = 1095

As I elaborated earlier, this equation essentially means "5/7 of the entire student population is 1095 students." Now, we just need to isolate the variable 's' to get our final answer.

To get rid of the denominator, let's multiply both sides by 7:

* 7 = 1095 * 7

5s = 7665

Finish it off by dividing both sides by 5 to get rid of s's coefficient:

=

s = 1533

There are 1533 total students in the school

And that's it! If you have any questions about how I solved it, feel free to ask!

- breezyツ

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11