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OG12 OG15 OG16 OG17
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Of the 200 students at College T majoring in one or more of the sciences, 130 are majoring in chemistry and 150 are majoring in biology. If at least 30 of the students are not majoring in either chemistry or biology, then the number of students majoring in both chemistry and biology could be any number from
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OG12 OG15
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If n is a positive integer, then n(n + l)(n + 2) is
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A rectangular circuit board is designed to have width w inches, perimeter p inches, and area k square Inches. Which of the following equations must be true?
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OG12 OG15 OG16
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Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and $$\overline{PR}$$ is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities $$-4 \le x \le 5$$ and $$6 \le y \le 16$$. How many different triangles with these properties could be constructed?
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OG12
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 The table above shows the number of employees at each of four salary levels at Company X. What is the average (arithmetic mean) salary for the 20 employees?
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OG12 OG15 OG16 OG17
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$$0.1+{0.1}^{2}+{0.1}^{3}=$$
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OG12 OG15 OG16 OG17 OG18
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If n is a prime number greater than 3, what is the remainder when $${n}^{2}$$ is divided by 12 ?
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OG12 OG15 OG16 OG17 OG18
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$$\frac{1}{(0.75-1)}=$$
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OG12
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if |a c b d|= ad-bc for all numbers a, b, c, and d, then |3 -2 5 4|
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OG12 OG15
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How many integers n are there such that 1 < 5n + 5 < 25 ?
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OG12 OG15 OG16 OG17 OG18
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$$\sqrt{80}+\sqrt{125}=$$
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OG12 OG15 OG16 OG17 OG18
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y=kx+3In the equation above, k is a constant. If y = 17 when x = 2, what is the value of y when x = 4 ?
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OG12 OG16 OG17 OG15 OG18
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At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formulaN=$$20L\frac{d}{(600+s^2)}$$where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a $$\frac{1}{2}$$ mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)
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OG12 OG15 OG16 OG17 OG18
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$$\frac{(0.0036)(2.8)}{(0.04)(0.1)(0.003)}=$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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The total cost for Company X to produce a batch of tools is $10,000 plus $3 per tool. Each tool sells for $8. The gross profit earned from producing and selling these tools is the total income from sales minus the total production cost. If a batch of 20,000 tools is produced and sold, then Company X's gross profit per tool is
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OG12
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If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is $$\frac{1}{s}+\frac{1}{t}$$ in terms of t?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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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?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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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?
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OG12 OG15 OG16 OG17
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If the operation * is defined by $$x*y=\sqrt{xy}$$ for all positive numbers x and y, then (5 * 45) * 60 =
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OG12 OG15 OG16
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A club collected exactly $599 from its members. If each member contributed at least $12, what is the greatest number of members the club could have?
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