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Artist 52 [7]
3 years ago
5

A​ student's course grade is based on one midterm that counts as 1010​% of his final​ grade, one class project that counts as 15

15​% of his final​ grade, a set of homework assignments that counts as 4040​% of his final​ grade, and a final exam that counts as 3535​% of his final grade. His midterm score is 6767​, his project score is 8888​, his homework score is 9191​, and his final exam score is 7272. What is his overall final​ score? What letter grade did he earn​ (A, B,​ C, D, or​ F)? Assume that a mean of 90 or above is an​ A, a mean of at least 80 but less than 90 is a​ B, and so on.
Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0

Answer:

His overall final​ score is 81.5

He earned a B

Step-by-step explanation:

To find his overall grade, we multiply each of his grades by it's weight.

Grades:

67 on the midterm, which counts for 10% = 0.1

88 on the project, which counts for 15% = 0.15

91 on homework assignements, which counts for 40% = 0.4

72 on the final exam, which counts for 35% = 0.35.

What is his overall final​ score?

67*0.1 + 88*0.15 + 91*0.4 + 72*0.35 = 81.5

His overall final​ score is 81.5

At least 80 and less than 90 has a letter grade of B. 81.5 is in this range. So he earned a B

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we can solve these two equation using the elimination method, by simply adding the two equations

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------------------------------

\quad\quad 98a=-26

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49y=-13x^2

This our equation of the arch!

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