Answer:
Step-by-step explanation:
If there are 9 marbles in total and the desired outcome is to pick a green marble then the probability is 
= 
which simplifies down to a third.
-117 must be added to complete the square.
Answer:
-1
Step-by-step explanation:
You can do this two ways, the easiest way is to look at the graph.
What is g(4) means: When the x value equals 4, what does y equal?
Look for the coordinate with the x-value of 4 (it's asking for g(4). Now if you look at the y-value of the coordinate, it should tell you what g(4) is. So since the coordinate is (4,-1), g(4) is -1.
Another way to do it is to plug in 4 for x in the equation. So...
g(4) = -[f(4) - 3)]
g(4) = -[4 - 3]
g(4) = -[1]
g(4) = -1
Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
Let s = # of students in the sixth grade. 60% of these, or 0.60s, ate pizza: thus, 0.60s = 36. Solving for s, s = 36/0.60 = 60.
There are 60 students in the sixth grade.
