8
46
 is equivalent to 4
23
 because 4 x 2 = 8 and 23 x 2 = 46
12
69
 is equivalent to 4
23
 because 4 x 3 = 12 and 23 x 3 = 69
16
92
 is equivalent to 4
23
 because 4 x 4 = 16 and 23 x 4 = 92
        
             
        
        
        
Use the formula....central angle/360= arc length/2* pie* R
150/360=x/2*3.14*7.5
150/360=x/47.1
360x=7065
x=7065/360
x=19.625 in
        
             
        
        
        
Answers:
16. 6-x= 10
move +6 to the other side 
sign changes from +6 to -6
6-6-x= 10-6
-x= 4 
Mutiply both sides by -1 
(-1)(-x)= (-1)(4)
x= -4
17. 4a+3= -9
move +3 to the other side 
sign changes from +3 to -3
4a+3-3= -9-3 
4a= -12 
divide both sides by 4
4a/4= -12/4
a= -3
 
        
                    
             
        
        
        
Answer:
 150 mL
Step-by-step explanation:
Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...
 75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end
 0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5
 22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed
You will need 150 mL of the 75% solution.