A movie theater sold 250 tickets for a showing of a film. Adult tickets cost \( \$ 12 \) each, and children's tickets cost \( \$ 8 \) each. If the total revenue from ticket sales was \( \$ 2,800 \), how many adult tickets and how many children's tickets were sold?

a) \( \log _{2} x=1-x \);

Suppose the linear regression line \( y=3.009 x \) - 77.131 predicts a pizza parlor's profits based on the number of pizzas sold. If \( x \) represents the number of pizzas sold, and \( y \) represents the pizza partor's profits in dollars, about how much can the plizza parlor expect in profits if it sells 275 pizzas? A. \( \$ 750 \) B. \( \$ 900 \) C. \( \$ 825 \) D. \( \$ 675 \)

Which of the following equations has no solution \( \begin{array}{l}x+20-5 x=7(3+x)-3 x \\ \begin{array}{l}5 x+20-7 x=7(3+x)-3 x \\ 5 x+21-x=7(3+x)-3 x \\ 5 x+20-x=7(3+x)-3 x\end{array} \\ \begin{array}{l}5\end{array}\end{array} \$ \begin{array}{l}\text { - }\end{array} \)

6) \( \frac{1}{x-2}=2 \)

a) \( \log _{2} x=1-x \);