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Exactly six candidates for mayor received votes according to the graph above. If 200,000 people voted for mayor, how many votes did candidate Q receive?
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What is the value of x if $$\frac{{x}^{6}+{4}{x}^{5}-{x}-{4}}{{x}+{4}}=-{244}$$?
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Kathren needs to plant a group of four different plants in each of her three flowerbeds. If she has twelve different plants, how many different arrangements of plants could she have in her garden?
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The relationship between quantities m and n is expressed by the equation 11m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
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Oil revenue in the amount of x million dollars, x being an even number, is divided among 11 Russian oligarchs, giving each a fixed sum plus a remainder of 10 million for the government. Which of the following, when added to x, produces the sum which is divisible by 22?
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The ratio of South Korean aircraft to North Korean aircraft was 1 to 3. After the North announced it would acquire nuclear weapons, the U.S. transferred 60 aircraft to South Korea. Then, the ratio became 3 to 5. What was the total number of the aircraft on the Korean peninsula after the U.S. aircraft transfer?
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The total distance between points A and C through point B along straight lines between each point is 150 kilometers. If the stretch between A and B is five times longer than that between B and C, what is the distance between points B and C?
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Flying at constant speed, an airplane of type I (plane I) covers a certain distance between two points in 15 hours. An airplane of type II (plane II) covers the same distance in 10 hours. If plane I makes a landing after flying for 9 hours along the route, how many hours will it take plane II to complete the remainder of the route between the landing point of plane I and the destination?
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If a is an integer divisible by 3, and b is not divisible by 3, which of the following is NOT divisible by 3?
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Find an expression equivalent to the one below$$\frac{({0.3667})({0.8333})({0.3333})}{({0.4444})({0.6667})({0.125})}$$
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A budget airline charges each customer e I 3 euros for every leg of the flights between London and Ibiza. The only exception is that it charges e euros for the first leg of the first round-trip for the same customer. How much is the total cost of n round-trip tickets for one customer?
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If u,v and w are single-digit integers and 1,000(u) + 10,000(v) + 10(w) = N, what is the tens digit of the number N?
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$$\sqrt{\frac{1}{36}+\frac{1}{64}}=$$
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How many integers k greater than 100 and less than 1000 are there such that if the hundreds and the units digits of k are reversed, the resulting integer is k + 99?
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A call center responds to telephone inquiries between the hours of 9 am and 12 pm. Including the idle time, on average, it takes 1.5 minutes to answer an inquiry between 9 and 10 in the morning, 4.5 minutes between 10 and 11, and 5 minutes between 11 and 12. What is the fraction of total inquiries answered between 9 and 12 that the call center, on average, responds to between 9 and 10 in the morning?
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A certain chemical reaction requires $$\frac{4}{7}$$ units of catalyst for every unit of chemical. How many students can perform an experiment if there are $${20}\frac{4}{7}$$ units of catalyst available in the lab, and only one unit of the chemical is required for each student?
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Having collected data from a certain population, a statistician observes that the mean (arithmetic average) of the sample is 15. In order to increase the precision of his estimation procedure, the statistician shifts the data by subtracting 10 from every sample point and increasing variability by multiplying each observation by 1.5. What is the mean (arithmetic average) of the transformed sample?
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Three models (A,B, and C) of cars are distributed among three showrooms. The number of cars in each showroom must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of model A, 17 cars of model 8, and 15 cars of model C. What is the maximum number of cars of model A in any showroom?
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Of 3,500 items manufactured by a machine, 80 percent pass the initial quality control, and the rest require additional testing. How many more items pass initial quality control than those which require additional testing?
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To make a certain type of ale, a brewery must mix enzymes, flax, and barley in the proportion 3:5:7 by volume. What is the largest amount in cubic meters of this mixture the brewery can obtain with one cubic meter of enzymes?
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