24. The table shows expressions to represent the number of students involved in different activities. The number of students involved in sports and student council is equal to the number of students involved in band and drama club. Model the situation with an equation. Select the correct expression for each box. Then solve the equation. czzz czz• How many students participate in each activity? Activity band drama club sports student council n Number of Students 4 2(2n +1) n 311—2 2(2n +1

Afactory owner wants his workers to produce as many widgets as they can so he pays his workers based on how many widgets they produce. however, in order to make sure that the workers do not rush and produce a large number of poorly made widgets, he checks the widgets at random at various stages of their manufacture. if a defect is found in a widget, the pay of the entire section of the factory responsible for that defect is docked. how is this factory owner seeking to solve the agency conflict problem in this case?

Cynthia is a hospitality worker in the lodging industry who prefers to cater to small groups of people. she might want to open a

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a.no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative.b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child.c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative.d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.