Answer:
Step-by-step explanation:
Let's define our variables. Let a represent the number of adult tickets sold, s represent the number of senior tickets sold, and r represent the number of senior tickets sold.
We know that a total of 350 tickets were sold. So, the number of adult, student, and senior tickets sold must total 350. Therefore, we can write the following equation:
We know that each adult ticket costs $4, each student ticket costs $2.50, and each senior ticket costs $2. We are given that a total of $1095 was collected. Therefore, the number of tickets multiplied by their respective price must equal $1095. So, we can write the following equation:
Finally, we know that 40 fewer senior tickets were sold than student tickets. So, however many students tickets were sold, we can subtract 40 to get the number of senior tickets sold. Therefore:
So, our system of equations is:
And we're done!
Black socks on monday - 3/9 or .33%.
white socks on tuesday - 5/9 or .55%
Explanation: Probability of black socks on Monday:
Total pair of socks: 1 + 3 + 5 = 9
Number of black socks on Monday: 3
3/9 = 1/3 (or divide to get a percentage)
Probability of white socks on Tuesday:
Total pair of socks: 9
Number of white socks on Tuesday: 5
5/9
Answer:
a=9.4 b=12.0
Step-by-step explanation:
You need to use Pythagorus
So for a:
8²+5²=89 a=√89=9.4
And b:
17²-12²=145 b=√145=12.0
Answer:
Step-by-step explanation:
Equation
f(x) = (8x + 1) / (2x + 9)
Notice the brackets. They are necessary to show what comes before the division sign, and what comes after.
Behavior
The best way to state the behavior is to get something like a graphing program to show you what the curve looks like -- where it's critical points are for example. I use Desmos for this kind of question, Just do a search for Desmos and bookmark it. You will use it quite often.
So you want to know the behavior.
<u><em>Right Curve</em></u>
Crosses the x axis at (-0.125, 0)
Crosses the y axis at (0,0,111)
The right curve has a domain of -∞ < x < ∞
The right curve has a range of -∞ < x < ∞
The range is going to have to go out quite a ways before you see any dramatic decrease in the way it is drawn.
<u><em>Left Curve.</em></u>
The right hand curve never crosses either the x or y axis. Nor does it just touch the x or y axis.
The domain is -∞ <x < 0
The range is 0<x<∞
