1. use the digits -9 to 9 (only once) to create a real solution between 30 and 80. show your work to justify your answer.
2. use the digits -9 to 9 to complete the puzzle below. try all the combinations. but as you begin doing that you will realize that in some cases you are looking for factor combinations with a particular sum or difference. you will see that some numbers have to be greater than a particular value in order to produce the product you are looking for. show your work to confirm your solution.

Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)

Money off coupons have been circulated to 300 households. only 2/5 of these were redeemed (used) in the local supermarket to get a free shampoo. what fraction of coupons were unused? (ps: write how you got the answer)

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.