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Mrs. Often's new grading scheme is as follows:Tess. 25%Project: 15%Quiz: 35%Homework: 25% If you have a test average of 75, a quiz average of 50, a homework average of 80, and earn a grade of 70 on the project, what is your grade for the course? Using the same grading scheme shown above, and soll having a test average of 75. quiz average of 50. homework average of 80. what grade must you get on the project to earn an 80 for the course? Is this possible?

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\begin{gathered} 1)75\cdot0.25+50\cdot0.35+80\cdot0.25+70\cdot0.15=66.75 \\ 2)75\cdot025+50\cdot0.35+80\cdot025+x\cdot0.15=80\rightarrow \\ 56.25+x\cdot0.15=80\rightarrow0.15\cdot x=80-56.25=23.75\rightarrow \\ x=(23.75)/(0.15)=158.33333 \\ So\text{ it is imposible to get a grade of 80 or better in this course } \end{gathered}

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