9/19 = x / 152....9 oz oil to 19 gallons gas = x oz oil to 152 gallons gas
cross multiply because this is a proportion
(19)(x) = (152)(9)
19x = 1368
x = 1368/19
x = 72 oz of oil <==
        
                    
             
        
        
        
Answer:
yes to both
Step-by-step explanation:
For a relationship to be a function then each value of x must relate to exactly one unique value of y.
This is the case in this table as
2 → 76
4 → 152
6 → 228
All unique values thus a function
To determine if it is linear then the rate of change is constant for each set of ordered pairs. This is measured using the slope formula.
m = 
with (x₁, y₁ ) = (2, 76) and (x₂, y₂ ) = (4, 152 ) ← ordered pair from table
m =  =
 =  = 38
 = 38
Repeat with (x₁, y₁ ) = (4, 152) and (x₂, y₂ ) = (6, 228)
m =  =
 =  = 38
 = 38
Since rate of change is constant then function is linear
 
        
             
        
        
        
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 = 
 
        
             
        
        
        
Step-by-step explanation:
1. Since 39 is 3/5 of the club, divide by 3 to get 1/5 of the club
2. 1/5 of the club is 13 people
3. Multiply 13 by 5 to get 5/5 of the club (which is the whole club)
4. The whole club is 65 people
5. You can check it because 65×3/5=39
 
        
             
        
        
        
1 is the answer b/c that's the only number it goes too