Answer:
His overal final score is 81.2. His letter grade is a B.
Step-by-step explanation:
Weighed average:
The sum of all values multiplied by it's weight. The weight is a proportion(a value between 0 and 1).
So.
Score of 72 on the midterm, which counts 5%.
Score of 83 on the project score, which counts 25%.
Score of 91 on homework assignments, which counts 35%.
Score of 74 on the final exam, which counts 35%.
His grade is:
G = 72*0.05 + 83*0.25 + 91*0.35 + 74*0.35 = 82.1.
His overal final score is 81.2.
At least 80 but less than 90 is a B
So his letter grade is a B.
 
        
             
        
        
        
Value of the expression will be 7 
<u><em>Explanation</em></u>
Given value of the variables are : 
 and 
Given expression: 
So, <u>plugging the values</u> of 
 and 
 into the above expression, we will get...

So, the value of the expression will be 7.
 
        
                    
             
        
        
        
Answer:
sqrt(5)/29
Step-by-step explanation:
1/(5 + 3sqrt(5))
= 1/(5 + 3sqrt(5)) x sqrt(5)/sqrt(5)
= sqrt(5)/(5 + 3 x 8)
= sqrt(5)/ 29
 
        
             
        
        
        
A
Step-by-step explanation:
- To compare decimal numbers with the same whole digits, we have to check the numbers in the decimal points. 
 - We compare the numbers in the same decimal point in both numbers e.g the tenth, hundredth or thousandth decimal numbers. 
 - Whichever number has a bigger value for the lowest decimal point is the larger of the two. 
 - Whenever the lowest decimal point is the same between the two, go to the next decimal point and compare.
 
2.01 is less than 2.2 because the tenth decimal in the previous number (that of 0) is less than the tenth of the latter number (that is 2).
Learn More:
For more on comparing decimals check out;
brainly.com/question/11951473
brainly.com/question/13141429
#LearnWithBrainly
 
        
                    
             
        
        
        
Answer:
The relationship between the number of months and the total amount paid is proportional  for both Hank's and Lynn's loans.
Step-by-step explanation:
Hank and Lynn are both paying off car loans.
Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.
Therefore, the total amount paid (C(h)) after x months by given by  
C(h) = 2000 + 200x ......... (1)
So, this relation is proportional but not directly proportional.
Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.
Therefore, the total amount paid (C(l)) after x months by given by  
C(l) = 275x ......... (2)
So, this is a directly proportional relation which is also proportional.  
Therefore, the relationship between the number of months and the total amount paid is proportional to both Hank's and Lynn's loans. (Answer)