Solve the problem.The final grade for an algebra course is determined by grades on the midterm and final exam. The grades for four students and two possible grading systems are modeled by the following matrices.  

src="https://sciemce.com/media/4/ppg__ttttt0521191157__f1q73g6.jpg" style="vertical-align: -15.0px;" />Find the final course score for Student 3 for both grading System 1 and System 2.

A. System 1: 57.5; System 2: 102.5
B. System 1: 77.8; System 2: 76
C. System 1: 39.8; System 2: 53
D. System 1: 83; System 2: 80

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Answer: D

Mathematics

Solve the problem.A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $63 under this promotional deal, how many minutes of phone calls did he make? Round to the nearest integer, if necessary.

A. 2 min B. 10 min C. 1560 min D. 960 min

Provide an appropriate response. Determine which ordered pair is NOT a solution for the equation:2x - 5y = 20

A. (10, 0) B. (0, 4) C. (-5, -6) D. (5, -2)

Factor out the greatest common factor. Simplify the factors, if possible.48x8y8 - 84x4y5 + 24x6y2

A. x4y2(48x4y6 - 84y3 + 24x2) B. 12x4(4x4y8 - 7y5 + 2x2y2) C. 12x4y2(4x4y6 - 7y3 + 2x2) D. 12(4x8y8 - 7x4y5 + 2x6y2)

Solve the problem.If y varies directly as x2 and inversely as m, and y = 4 when x = 5 and m = 2, find y when x = 10 and 

A. 0.67 B. 0.83 C. 5.33 D. 2.67