Belts cost $160 per carton, and shoes cost $465 per carton. if an order comes in for a total of 88 cartons for $19,265, what is the number of cartons of belts? (hint: let s = cartons of shoes.)

The state in which the manufacturing company you work for is located regulates the presence of a particular substance in the environment to concentrations ≤ x. recently-released, reliable research endorsed by the responsible federal agency conclusively demonstrates that the substance poses no risks at concentrations up to 5x. your company has asked you to consider designing a new process with a waste discharge stream containing up to 2x of the substance. based on the stated conditions, describe this possible.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

Read the scenario. alfonso is 19 years old and has a high school diploma. recently, he was promoted to assistant manager at the fast-food restaurant where he has worked since the age of sixteen. his dream is to become the restaurant’s manager. what is his best option for achieving his dream? he should find another job and work his way up to a higher position. he should hope that his manager transfers to another location and that he is his replacement. he should attend classes at the local college to receive training in management. he should work hard, work longer hours, and remain assistant manager.