John, Rasheed, and Jeorge are different ages. Rasheed is six less than twice John’s age. Jeorge’s age is nine more than half of John’s age. The difference between Rasheed and Jeorge’s ages is no more than nine years.1. Write an expression that represents the difference between Rasheed and Jeorge’s ages.2. Write an absolute value inequality to represent the maximum difference in their ages.3. Determine whether it is possible for John to be twenty years old. Explain your reasoning.4. Algebraically determine the greatest and least age John can be so that the difference between Rasheed and Jeorge’s ages is no more than nine years

Starting at home, emily traveled uphill to the hardware store for 606060 minutes at just 666 mph. she then traveled back home along the same path downhill at a speed of 121212 mph. what is her average speed for the entire trip from home to the hardware store and back?

Solve the formula ax+ by = c for x.

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.