Answer:
4/663
Step-by-step explanation:
There are four queens. The probability that the first card is a queen is 4/52.
There are four kings. There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.
Therefore, the probability that the first card is a queen AND the second card is a king is:
P = 4/52 × 4/51
P = 4/663
The commutative property of multiplication.
Answer:slope of line is 5/7
Explanation:The slope of the line can be calculated using the following rule:
slope =

The given points are:
(-9,-10) which represent (x1,y1)
(-2,-5) which represent (x2,y2)
Substitute with the points in the above equation to get the slope as follows:
slope =

= 5/7
Hope this helps :)
[x-1]=5x+10
We have two equations:
1) x-1=5x+10
x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4
2) x-1=-(5x+10)
x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2
we have two possible solutions:
solution₁; x=-11/4
solution₂: x=-3/2
we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4 - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4 + 10
[-15/4]=(-55+40) /4
15/4≠-15/4 This solution don´t work.
2) x=-3/2
[x-1]=5x+10
[-3/2 - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2 + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.
Therefore:
Answer: x=-3/2.