You set up the equation like this:
T/45+T/53=1
You find the least common factor of 53 and 45 and times both sides so you end up with this:
53T+45T= least common factor
Then add up 53T and 45T.
98T= least common factor
Then divide 98 from both sides. That will be your answer.
Sorry I didn't have enough time to find the least common factor but it is a number that they both go into. I would check to make sure I'm correct. I hope this helps!
Answer: Slope is rise over run, or y over x. So for the first one the slope is 60/30 or 2. If you wanna find the slope between two points you would do y2-y1 over x2-x1. For example if we use the first two points which are 60/30 and 50/40, it would be 50-60 over 40-30, which gives you -10/10. That can be simplified down to -1/1. That means that you have went down one and right one on your graph. You can apply these rules to many basic slope problems. I hope this helps! :)
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:

You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:

2. Substitute it into the first equation and solve for "m":

3. Substitute the value of "m" into
and evaluate, in order to find the value of "o". This is:

288 divided by 12 = 24
240 divided by 10 = 24