Answer:
v=4
Step-by-step explanation:
-23=3v+9-11v
-23=9-8v
-32=-8v
v=4
 
        
                    
             
        
        
        
Answer:
5/12
Step-by-step explanation:
take the number of students who read under6 books (5) and divide by total amount of students (12) 
5/12
 
        
                    
             
        
        
        
Answer:
 9 is the number
Step-by-step explanation:
Let's call this number x
The equation is:
30+2x=48
subtract 30 from both sides and you get 
2x=18
divide 2 from both sides and you get
x=9
Therefore, 30+2(9)=48
 
        
             
        
        
        
If the width of the cardboard = x cm then its length is given by x + 8 cm.
Then the length of the box will be x + 8 - 2(2) =  x + 4
and the width = x - 2(2) = x - 4 cm The height is 2 cm 
Volume = h*w*l = 2(x - 4)(x + 4) = 256
2(x^2 - 16) = 256
x^2 - 16 = 128
x^2  = 144 
x = 12 cm 
Dimensions of the box are:-
length =  12 + 4 =  16cm
width = 12 - 4 = 8 cm
height = 2 cm
        
             
        
        
        
We can figure this out using the explicit formula.

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.