Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges $39 for the initial consultation and then $42 per session. For another plan, he charges $54 for the consultation and $39 per session. Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?

Common binomial factor of 6x(3x+7)+5(3x+7)