Tyler says he invented a number puzzle. He asks Clare to pick a number, and then asks her to do the following:
1) Triple the number
2) Subtract
3) Double the result
4) Subtract 22
5) Divide by 6
Clare says she now has a 3. Tyler says her original
number must have been a 3.
How did Tyler know that? Explain or show your
reasoning

What is the common difference in the following arithmetic sequence? 7,3,-1,-5

Malia is observing the velocity of a cyclist at different times. after two hours, the velocity of the cyclist is 15 km/h. after five hours, the velocity of the cyclist is 12 km/h. part a: write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. show your work and define the variables used. (5 points) part b: how can you graph the equations obtained in part a for the first 12 hours? (5 points) if you can try and make this as little confusing as you can

Taylor estimated the music department would raise $1,100 for new uniforms by selling tickets to a performance next week each ticket will be $12.75 about how many tickets does the music department need to sell for taylor's estimate to be reasonable