Answer:
Johan can make 8000 different outfits.
Step-by-step explanation:
Johan needs to pick one of each (shirt, pants, socks and shoes) to make a outfit. The number of socks he has is 20 pairs, so he has 20 possibilities for socks. In the same way, the number of possibilities for shoes is 5, for pants is 10 and for shirts is 8.
So, to find the number of outfits he can make, we need to multiply all the possibilities for each case, so:
Number of different outfits = 20 * 5 * 10 * 8 = 8000.
Number of matchsticks required is 2. Rule which matchstick pattern is 2 x n.
The answer is 6 since the scale factor is 2 and 3x2 is 6
Answer: 
Step-by-step explanation:
Slope of two lines that are perpendicular to each other is 1.
If one line is
, then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]
Let n be the slope of the required line, then

Equation of line with slope n and passers through (a,b) is

Equation of line with slope n=
and passes through point ( 0,-4) :

Hence, Required equation : 