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OG12 OG15 OG17 OG16	The price of lunch for 15 people was $207.00,including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and, consequently, he earned $2 per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	if $$\frac{p}{q}$$<1, and p and q are positive integers, which of the following must be greater than 1 ?
OG12 OG15 OG16 OG17	It would take one machine 4 hours to complete a large production order and another machine 3 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately $$\frac{70}{r}$$ years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Which of the following inequalities is an algebraic expression for the shaded part of the number line above?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In a small snack shop, the average (arithmetic mean) revenue was $400 per day over a 10-day period. During this period, if the average daily revenue was $360 for the first 6 days, what was the average daily revenue for the last 4 days?
OG12 OG15 OG16 OG17	A certain country had a total annual expenditure of $$$1.2 \times {10}^{12}$$ last year. If the population of the country was 240 million last year, what was the per capita expenditure?
OG12 OG15 OG16 OG17	The diagram above shows the various paths along which a mouse can travel from point X, where it is released, to point Y, where it is rewarded with a food pellet. How many different paths from X to Y can the mouse take if it goes directly from X to Y without retracing any point along a path?
OG12 OG15 OG16 OG17	If the operation * is defined by $$xy=\sqrt{xy}$$ for all positive numbers x and y, then (5 45) * 60 =
OG12 OG15 OG16 OG17	A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely.What is the value of $$({10}^{4}-{10}^{2})(0.00\overline{12})$$?
OG12 OG15 OG16 OG17	At a loading dock, each worker on the night crew loaded $$\frac{3}{4}$$ as many boxes as each worker on the day crew. If the night crew has $$\frac{4}{5}$$ as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] +[3.4]+[2.7]?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In the first week of the year, Nancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In a certain sequence, the term $${x}_{n}$$, is given by the formula $${x}_{n}={2}{x}_{n-1}-\frac{1}{2}({x}_{n-2})$$ for all $${n}\geq{2}$$. If $${x}_{0}=3$$ and $${x}_{1}=2$$, what is the value of $${x}_{3}$$
OG17	On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine`s average speed for the entire trip?