On a mild Saturday morning while people are working inside, the furnace keeps the temperature inside the building at 23degreesC. At noon the furnace is turned off, and the people go home. The temperature outside is a constant 14degreesC for the rest of the afternoon. If the time constant for the building is 3 hr, when will the temperature inside the building reach 18degreesC? If some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 18degreesC?

Given: ac and db are diameters. m∠3=

Jack did 3/5 of all problems on his weekend homework before sunday. on sunday he solved 1/3 of what was left and the last 4 problems. how many problems were assigned for the weekend?

(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.