We know there are 4 suites the deck can be divided into, and two of the 4 are black. So you divide 2/4, and get 1/2. So the probability that a black card will be chosen is 1/2.
<h2>
Greetings!</h2>
Answer:
The slope is 1.
Step-by-step explanation:
First, we must find the slope of the current equation.
This is the number in front of the x.
Seeing as this is -x, or -1x, the slope of this line is -1
When finding the slope of a line perpendicular, you need to find the 
So, in this case it is:

The minuses cancel out, leaving with 1 over 1 or 1/
So the slope of the line perpendicular is 1!
<h2>Hope this helps!</h2>
Answer:
It would be 10 months for the price of $320.
Step-by-step explanation:
First we need to find how much Anna's swimming charge and Bobie's charge is.
PA=70+t The price of the month equals to the starting fee and monthly charge
120=70+2t The price of 2 months times the monthly charge
50=2t
25=t is Anna's monthly charge
PB=250+t is Bobies starting price and monthly charge
264=250+2t is the month charge for Bobie after 2 months
14=2t
7=t is Bobie's monthly charge
70+25x=250+7x We need to find x which is what month will satisfy both equations
25x=180+7x Subtract 70 from both sides
18x=180 Subtract 7x from both sides
x=10 divide 18 from both sides
Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.
PA=70+25x PB=250+7x
PA=70+25(10) PB=250+7(10)
PA=70+250 PB=250+70
PA=320 PB=320
Hey there!
I'm assuming your expression is actually

. If it's not, let me know and I'll be happy to help you out further.
If x were equal to –9, your expression would be undefined. If you solve it with this value plugged in for x, you will get the following:





You can't divide anything by zero. This expression would be undefined if x were –9 since it makes the denominator zero. Therefore, x ≠ –9.
Hope this helped you out! :-)