Step-by-step explanation:
to compare them, we should all bring to the same denominator. 
the lcm (lowest common multiplier) is the that denominator.
let's use the approach of the prime factors :
3 : 3
5 : 5
32 : 2×2×2×2×2
24 : 2×2×2×3
the lcm is the combination of the longest "streaks" of the prime factors. 
so,
2×2×2×2×2 × 3 × 5 = 32×15 = 480
2/-3 = -2/3 = -320/480 (as 3×160 = 480)
-4/5 = -4×96 / 5×96 = -384/480 (as 5×96 = 480)
21/-32 = -21/32 = -315/480 (as 32×15 = 480)
-15/24 = -15×20 / 24×20 = -300/480 (24×20 = 480)
as
-384/480 < -320/480 < -315/480 < -300/480
we can say
-4/5 < -2/3 < -21/32 < -15/24
 
        
             
        
        
        
U use y=mx+b to find the slope, and the answer would be m=-3
        
             
        
        
        
Answer:
see below
Step-by-step explanation:
-2x + 9 < x − 9
Add 2x to each side
2x-2x + 9 < 2x+x − 9
9 < 3x-9
Add 9 to each side
9+9 < 3x
18 < 3x
Divide each side  by 3
18/3 < 3x/3
6 < x
Open circle  at 6 line going to the right
 
        
             
        
        
        
Answer:
c. 0.3421
Step-by-step explanation:
The computation of the probability of selecting the biased coin is shown below:
The probability of any coin selected is 1 ÷ 2 
The probability in the case when the biased coin chosen & wins 1 ÷ 2 (1 - 0.74)
And, the win probability is 1 ÷ 2  (1 - 0.74) + 1 ÷ 2  (1 - 0.5) 
Now the probability of biased or win is 
=  {1 ÷ 2 (1 - 0.74)} ÷ { 1 ÷ 2  (1 - 0.74) + 1 ÷ 2  (1 - 0.5)}
= 0.13 ÷ 0.38
= 0.3421
Hence, the correct option is c. 0.3421