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Prep2007E2-PS-168

A stamping machine produces 100 gaskets per hour. When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours. How many gaskets does the newer machine produce per hour?


Prep2007E2-PS-166

70, 75, 80, 85, 90, 105, 105, 130, 130, 130

The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 meters. If the standard deviation of the 10 running times is 22.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?


Prep2007E2-PS-164

Lisa bought a house for $70,000 and paid closing costs equal to 2 percent of the purchase price. Later Lisa sold the house for $82,000 and paid a broker's commission equal to 10 percent of the selling price. What was Lisa's profit from the two transactions?


Prep2007E2-PS-163

The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)


Prep2007E2-PS-162

If x is an odd integer, which of the following is also an odd integer?


Prep2007E2-PS-161

The temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula ~$F=120\left (2 ^{-at} \right )+60$~, where F is in degrees Fahrenheit and a is a constant, then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?


Prep2007E2-PS-160

An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?


Prep2007E2-PS-159

What is the greatest prime factor of 417 - 228 ?


Prep2007E2-PS-156

A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?


Prep2007E2-PS-155

A certain brand of gasoline costs $1.25 per gallon. Using this gasoline, if a car averages 30 miles to the gallon, what is the cost of the gasoline needed for the car to travel 120 miles?


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