8/2.5
 
 = 80/25
 = 16/5
 = 3  1/5
        
             
        
        
        
Answer: 3x+8y=100
x+y=20
x=12
y=8
Step-by-step explanation: x would represent the number of multiple choice questions and y would represent the number of short response questions. the multiple choice questions were 3 points meaning that you need to find x. the short answer response questions were 8 points meaning you need to find y. altogether you need to get 100 points. for the second equation you have 20 questions that need to be both multiple choice and short response. therefore the second equation would be x+y=20. if you solved this, the answer would be that x equals 12 and y equals 8. hope this helped! :))
 
        
             
        
        
        
Answer:
The computer loses 50%, percent of its value each year.
Step-by-step explanation:
See the graph attached.
A computer is sold for a certain price and then its value changes exponentially over time.
It is clear from the graph that at t = 0, the price was $500, then at t = 1 year, the price was $250 and at t = 2 years, the price was $125 and at t= 3 years, the price was $62.5 and so on.
Therefore, the computer loses 50%, percent of its value each year. (Answer)
 
        
             
        
        
        
Answer:
120960
Step-by-step explanation:
Given that a  librarian has a set of ten different books, including four different books about Abraham Lincoln.
The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.
First arrnage the 6 other books in the shelf.  
This can be done in                                        
Now arrange the 4 books of Lincoln       
This can be done in                                        
Now we have 7 places to insert Lincoln books including two corners and in between.
Thus this can be done in 7 ways
Total no of ways = 
 
        
             
        
        
        
Answer:
Below.
Step-by-step explanation:
a = 37 degrees ( vertical angle to 37 )
c =  180 - 37 = 143 degrees (adjacent angles add up to 180).
b = 180 - 37 - 109 = 34 degrees   (angles in a triangle sum to 180 degrees).