At Pythagoras High School, all students can take up to three math courses every year. Everyone takes at least one math course. There are 159 students enrolled i the second-year courses: Everyone can take geometry, algebra II, and finite math The following facts are known: - 56 students are taking geometry - 53 students are taking algebra two - 93 students are taking finite math - 11 students are taking geometry and algebra two - 24 students are taking algebra two and finite math - 13 students are taking geometry and finite math

a) \( \frac{a}{x}-1=\frac{b}{x}-9 \)

Suppose \( \$ 30,000 \) is deposited into an account paying \( 3.5 \% \) interest, compounded annually. How much money is in the account after ten years If no withdrawals or additional depostte are made? \( \$ 42,317.96 \) \( \$ 40,500.00 \) \( \$ 44,350.50 \)

If \( f(x)=2 x-2 \) and \( g(x)=x^{2}+1 \), then \( f(g(-2))= \) a.) -8 b.) -12 c.) 4 d.) 8

What is the solution set for the following inequality? \( \begin{array}{l}x+4<3(x-2) \\ x<1 \\ x<5 \\ x>5 \\ x>1\end{array} \)

Аделина, Эвелина и Паулина писали олимпиаду по математике, где за каждую задачу можно было получить некоторое целое неотрицательное количество баллов. После объявления итогов выяснилось, что Аделина и Эвелина показали одинаковый результат, а сумма их баллов больше 31 . Сумма баллов всех трёх девочек оказалась меньше 70 и в \( 3 \frac{1}{2} \) раза больше, чем набрала Паулина. Сколько баллов на олимпиаде набрала Аделина?