Answer:
3/x + 2/(x+1) = 3/5x
[3 · 5(x + 1) + 2 · 5x] / 5x(x + 1) = 3(x + 1) / 5x(x + 1)
3 · 5(x + 1) + 2 · 5x = 3(x + 1)
15x + 15 + 10x = 3x + 3
15x + 10x - 3x = -15 + 3
22x = -12
x     = -12/22 = -6/11
 
        
             
        
        
        
Answer:
18 miles per gallon
90/5=18
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
The correct option is 1.
Step-by-step explanation:
If a quadratic equation is defined as 
 .... (1)
             .... (1)
Then the sum of the roots is -b/a and the product of roots is c/a.
The given equation is 
 ... (2)
          ... (2)
From (1) and (2) we get a=3, b=11 and c=-4.
The sum of roots is

The sum of roots is  .
. 
Therefore the correct option is 1.
 
        
             
        
        
        
Answer:
23 
Step-by-step explanation:
we are given that angle NRQ is 78 degrees
we can see from the figure that the sum of the given angles is angle NRQ
so 
(8x + 7) + (4x - 1) = 78
12x + 6 = 78
12x = 72
x = 6
Now, we have to find angle PRQ
replacing x with 6 in the equation of angle PRQ
PRQ = 4(6) - 1
PRQ = 23