If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!
 
        
             
        
        
        
Answer:
f(x) = 4x + 4
Step-by-step explanation:
When a line is parallel to another line, the slopes are always equal. Therefore,  the coefficient for x has to be four. If you multiply the y-coordinate by 4, you get 4. To get 8, you have to add four, so the equation is simply f(x) = 4x+4.
 
        
                    
             
        
        
        
3.19 - 1.99 = 1.20 increase in 4 years
1.20/4 = 0.30
rate of change is 0.30 per year  (30 cents per year)
        
                    
             
        
        
        
Given:
The figure of a right triangle.
To find:
The length of AB.
Solution:
In a right angle triangle,

Using this trigonometric ratio for the given triangle, we get





Therefore, the length of AB is 5 units.
 
        
             
        
        
        
Answer:
10
Step-by-step explanation: