A bullet of mass m1 = 0.020 kg is fired with initial speed v1 into a block of mass m2 = 0.500 kg that is initially at rest. The bullet becomes embedded in the block and the pair slide along to the right a distance d= 0.35 m over a rough surface with u k = 0.25. the spring (with k = 450 N/m) is compressed by a distance of x = 0.075 m. work backwards and determine the initial velocity of the bullet.

(50 ) 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.