Answer:
176 books
Step-by-step explanation:
Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:
eq1:
![F = 3N](https://tex.z-dn.net/?f=F%20%3D%203N)
eq2:
![2*(F - 122) = (N - 24)](https://tex.z-dn.net/?f=2%2A%28F%20-%20122%29%20%3D%20%28N%20-%2024%29)
![2F - 244 = N - 24](https://tex.z-dn.net/?f=2F%20-%20244%20%3D%20N%20-%2024)
![2F = N + 220](https://tex.z-dn.net/?f=2F%20%3D%20N%20%2B%20220)
Using the 'F' value from the first equation, we have:
![6N = N + 220](https://tex.z-dn.net/?f=6N%20%3D%20N%20%2B%20220)
![5N = 220](https://tex.z-dn.net/?f=5N%20%3D%20220)
![N = 44\ books](https://tex.z-dn.net/?f=N%20%3D%2044%5C%20books)
![F = 3N = 132\ books](https://tex.z-dn.net/?f=F%20%3D%203N%20%3D%20132%5C%20books)
The total number of books is:
![F + N = 132 + 44 = 176\ books](https://tex.z-dn.net/?f=F%20%2B%20N%20%3D%20132%20%2B%2044%20%3D%20176%5C%20books)
Base = Height, Let them be x.
![( x \times x) \div 2 = (x + x) + 6 \\ x ^{2} \div 2 = 2x + 6 \\ \frac{1}{2} x^{2} - 2x - 6 = 0](https://tex.z-dn.net/?f=%28%20x%20%5Ctimes%20x%29%20%5Cdiv%202%20%3D%20%28x%20%2B%20x%29%20%2B%206%20%5C%5C%20x%20%5E%7B2%7D%20%5Cdiv%202%20%3D%202x%20%2B%206%20%5C%5C%20%5Cfrac%7B1%7D%7B2%7D%20x%5E%7B2%7D%20-%202x%20-%206%20%3D%200)
Solve quadratic equation:
x=6, x=-2(rejected because base and height is positive)
6x6/2 =18
Answer:
Step-by-step explanation:
the answer is 5x
20
Answer:
(6, -3)
Step-by-step explanation:
Answer:
Substitute the 80°F where the F is in the equation. then just put the whole equation into your calculator. I got approximately 26.7.