Of the 148 students honored at an academic banquet, 40 won awards for mathematics and 82 for English. Twelve of these
students won awards for both mathematics and English. One of
the 148 students is chosen at random to be interviewed for a
newspaper article. What is the probability that the student won
an award in mathematics or English?

Identify this conic section. x2 - y2 = 16 o line circle ellipse parabola hyperbola

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

Urgent question in mathematics. solve this to get 15 points[tex] {2}^{100} - {2}^{99} - {2}^{98} {2}^{2} - {2}^{1} - {2}^{0}[/tex]a) 0 b) 1 c) 2 d) 2^50