Gary had 30 tickets. He spent 8 tickets on cotton candy and each arcade game costs 3 tickets. What is the greatest number of arcade games gary can play? Identify the variable, write an inequality and solve please.

Another question:
Nancy rents a car. The rental charge is $29.50 plus $19 per day. If the total bill was $143.50, how many days did Nacy rent the car?

Please answer both, thanks!

How to choose the sign of the radical in the denominator of the formula for the distance from a point to a line.

Astore ordered 750 candles a total wholesale cost of $7910.20. the soy candles cosy $12.17 each and thespecialty candles cost $9.58each. how many of each were bought?

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.