Determine whether each of the equations in Problems 1 through 8 is exact. If it is exact, find the solution. 1. (2x + 3) + (2y − 2) y? = 0 2. (2x + 4y) + (2x − 2y) y? = 0 3. (3x2 − 2xy + 2) + (6y2 − x2 + 3) y? = 0 4. dy dx = −ax + by bx + cy 5. dy dx = −ax − by bx − cy 6.

111 thirty dollars is to be divided among three girls and two boys so that each of the girls receives twice as much as each of the boys. how much does each receive?

Ms. sutton recorded the word counts and scores of the top ten essays in a timed writing contest. the table shows her data. how does the word count of an essay relate to its score in the contest? word count tends to decrease as the score decreases. word count tends to increase as the score decreases. word count tends to remain constant as the score decreases. word count has no apparent relationship to the score of the essay.

Pam buys a sleeve of ball bearings for her skateboard. each of the bearings is 1 1/5 inches wide. the sleeve is 9 3/5 inches long. how many ball bearings are in the sleeve? show your work.