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OG18-定量推理
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2x + 2y = -44x + y = 1 In the system of equations above, what is the value of x?
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OG18-定量推理
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Last week Jack worked 70 hours and earned $1,260. If he earned his regular hourly wage for the first 40 hours worked, $$1\frac{1}{2}$$ times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage?
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OG18-定量推理
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$${2 + 2\sqrt{6}}\over{2} $$=
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OG18-定量推理
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A certain fishing boat is chartered by 6 people who are to contribute equally to the total charter cost of $480. If each person contributes equally to a $150 down payment, how much of the charter cost will each person still owe?
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OG18-定量推理
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Which of the following must be equal to zero for all real numbers x ?I. $$-\frac{1}{x}$$II. x + (- x)III. $$x^{0}$$
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OG18-定量推理
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$$\frac{31}{125}$$
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OG18-定量推理
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If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?
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OG18-定量推理
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If a and b are positive integers and $${(2^{a})}^{b} = 2^{3}$$, what is the value of $$2^{a}2^{b}?$$
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OG18-定量推理
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$${1}\over{3}-\frac{1}{3-\frac{1}{3-1}}$$
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OG18-定量推理
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After 4,000 gallons of water were added to a large water tank that was already filled to $$\frac{3}{4}$$ of its capacity, the tank was then at $$\frac{4}{5}$$ of its capacity. How many gallons of water does the tank hold when filled to capacity?
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OG18-定量推理
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Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 30 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
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OG18-定量推理
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How many integers between 1 and 16, inclusive, have exactly 3 different positive integer factors?(Note: 6 is NOT such an integer because 6 has 4 different positive integer factors: 1, 2, 3, and 6.)
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OG18-定量推理
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If d = 2.0453 and $$d^{*}$$ is the decimal obtained by rounding d to the nearest hundredth, what is the value of $$d^{*} - d$$?
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OG18-定量推理
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Stephan has $$2\frac{1}{4} $$ cups of milk on hand and makes 2 batches of cookies, using $$\frac{2}{3}$$ cup of milk for each batch of cookies. Which of the following describes the amount of milk remaining after she makes the cookies?
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OG18-定量推理
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A school club plans to package and sell dried fruit to raise money. The club purchased 12 containers of dried fruit, each containing 16$$\frac{3}{4}$$ pounds. What is the maximum number of individual bags of dried fruit, each containing $$\frac{1}{4}$$ pounds, that can be sold from the dried fruit the club purchased?
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OG18-定量推理
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The sequence $$a_{1}, a_{2}, a_{3}, a_{4}, a_{5}$$ is such that $$a_{n} = a_{n ‒ 1} + 5$$ for 2 ≤ n ≤ 5. If $$a_{5} = 31$$, what is the value of $$a_{1} $$?
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OG18-定量推理
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A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile = 5,280 feet)
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OG18-定量推理
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If S = {0, 4, 5, 2, 11, 8}, how much greater than the median of the numbers in S is the mean of the numbers in S ?
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OG18-定量推理
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The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 1 percent, what was the annual interest rate last year?
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OG18-定量推理
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A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?
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