A hotel in Las Vegas, Nevada, is the largest pyramid in the United States. Prior to the construction of the building, the architects designed a scale model.
The height of the scale model is 9 inches less than its length and its base is a square. If the volume of the model is 6300
cubic inches, write an equation describing the situation.

You are at a restaurant and owe $38 for your meal. you want to leave a 20% tip. how much will your tip be?

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?

Identify the number 127 as a rational or irrational. explain