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s2008m [1.1K]
3 years ago
12

A student of the author earned grades of 92, 83, 77, 84, and 82 on herfive regular tests. She earned grades of 88 on the final e

xam and 95 on her class projects. Hercombined homework grade was 77. The five regular tests count for 60% of the final grade, thefinal exam counts for 10%, the project counts for 15%, and homework counts for 15%.What is her weighted mean grade? What letter grade did she earn? (A, B, C, D, or F)
Mathematics
1 answer:
goblinko [34]3 years ago
8 0

The class is weighted as follows:

60% Regular Tests

10% Final Exam

15% Project

15% Homework

The total weighted points possible for the class are as follows:

(100+100+100+100+100)*.6 + 100*.1 + 100*.15 + 100*.15 = 340

To calculate her individual final weighted grade we plug in her scores for each category and complete the following computation:

(92+83+77+84+82)*.6 + 88*.1 + 95*.15 + 77*.15 = 285.4

So her weighted grade percent would be 285.4/340 = 83.9% which is a B.

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1/4x – 2 = 3/8 Please show an equation and work. :)
Julli [10]
1/4x - 2 = 3/8

First, to start solving this, we can rearrange our fraction. Let's take 1/4x and change it to x/4. Why? Well, a variable can also be considered as the number 1.
\frac{x}{4} - 2 =  \frac{3}{8}

Second, now we can continue solving for our variable (x). Let's add 2 to each side.
\frac{x}{4} =  \frac{3}{8} + 2

Third, let's simplify 3/8 + 2. (3/8 + 2 = 2.375 =19/8)
\frac{x}{4} =  \frac{19}{8}

Fourth, continue trying to get the variable by itself. Multiply each side by 4.
x =  \frac{19}{8} \times 4

Fifth, let's simplify 19/8 × 4. This is simple. Leave the denominator be and just do 19 × 4, which equals 76.
x =  \frac{76}{8}

Sixth, our final step is to simplify our fraction. To do so, we will need to list the factors of the numerator and denominator and find the greatest common factor (GCF).

Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 8: 1, 2, 4, 8

Since 4 is our first common factor, it is considered our GCF.

Seventh, now let's divide. Divide both the numerator and denominator by the GCF (4) to create our new simplified fraction.
76 \div 4 = 19 \\ 8 \div 4 = 2

Answer in fraction form: \fbox {x = 19/2}
Answer in decimal form: \fbox {x = 9.5}
8 0
3 years ago
Chip work at the animal shelter for 6 hours each week for several weeks he worked for a total of 42 hours which of the following
sasho [114]
7 weeks. You have to divide 42 and 6.
8 0
3 years ago
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Someone please help with this maths problem.
NemiM [27]
The answer would be 80 because you are multiplying each number by 2. You multiply 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40, and then 40 x 2 = 80. That is how I got the answer 80!!
3 0
3 years ago
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What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
Leviafan [203]
-x^2+2x+3=x^2-2x+3  add x^2 to both sides

2x+3=2x^2-2x+3  subtract 2x from both sides

3=2x^2-4x+3  subtract 3 from both sides

2x^2-4x=0  factor

2x(x-2)=0

So x=0 and 2
3 0
3 years ago
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I only need help with the second part of this question. please can you help?
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13,822 to one significant figure is 10,000

623 to one significant figure is 600

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10,000 times 600 = 6,000,000

6,000,000/10 = 600,000

4 0
3 years ago
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