1.  (10m - 14) + 9 = 12        1. Given
(10m - 14) + 9 = 12        1. Given
2.    5m - 7 + 9 = 12          2. Distributive Property
3.    5m      + 2 = 12          3. Simplify (added like terms)
4.    5m            = 10          4. Subtraction Property of Equality
5.      m            =  2           5. Division Property of Equality
 
        
                    
             
        
        
        
Answer:
6) -7 + 10 = 3 (3 more; total number doesn't matter)
7) 50w + 20
8) c / 5
9) 5 + 2t
10) 4d  + 2d
I didn't see the trick problem!
 
        
             
        
        
        
Alright.
So let's say the number of adults is x.
Therefore, the number of boys is 7x + 1.
And then the total amount of girls is 3.5x + 0.5
So then:
x + 7x + 1 + 3.5x + 0.5 = 82
11.5x + 1.5 = 82
11.5x = 80.5
x = 7
So now we can figure out the number of male and female students.
Male students = 7x + 1
7*7 + 1
49 + 1
50
Male Students = 50
Female students = half of 50
50/2 = 25
Female Students = 25
        
             
        
        
        
4 and five eights is equal to 4 + 5/8.
You know that the decimal representation of 5/8 is 0.625, so the decimal representations of 4 and five eights will be 4.625.
        
             
        
        
        
7 < x. Here, you can solve the inequality by multiplying 2 by each quantity in the parentheses to get -18 < 24 - 6x. You can subtract -24 from both sides to get -42 < -6x. Then, you can divide each side by -6 and flip the inequality, and this leaves you with x > 7. You would check this answer by choosing a number greater than but close to 7, using the original equation.