For a project in statistics class, a pair of students decided to invest in two companies, one that produces software and one that does biotechnology research. Bryce purchased 19 shares in the software company and 56 shares in the biotech firm, which cost a total of $2,962. At the same time, Maria invested a total of $2,430 in 5 shares in the software company and 56 shares in the biotech firm. How much did each share cost?

Each share in the software company cost $
, and each share in the biotech firm cost $
.

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

Fa bus driver leaves her first stop by 7: 00 a.m., her route will take less than 37 minutes. if she leaves after 7: 00 a.m., she estimates that the same route will take no less than 42 minutes. which inequality represents the time it takes to drive the route, r?

Awindow washer cleans 42 windows in 2 hours. at this rate, how many windows did he clean in 180 minutes.