The speed of a passenger train is 18 mph faster than the speed of a freight train. The passenger train travels 270 miles in the same time it takes the freight train to travel 180 mph. What is the speed of the passenger train?

North Carolina has three times the population of Utah and twice the population of Oregon. Arkansas has 1 million people fewer than Oregon. If the total population of these four states is 27 million, how many peo- ple live in each state?

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In a fish bowl there were 12 fish, some little others big. If each of the big fish eat each two little fish and then a little fish are all gone, how many fish were left in the bowl.

Suppose the scores on a history quiz are normally distributed with a mean of 73 and a standard deviation of 4. Which group describes 16% of the population of history quiz scores?

The population of New York City in 1840 was 312,710. The population of New Orleans, Louisiana was 102,193 in that year. What was the population of the two cities altogether? Piper solved the problem. She said the answer is 414,903.

What is C = 2πr? Solve for r.

X varies directly as y, and x = 153 when y = 9. Find x when y = 13. A: 106 B: 157 C: 221

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Write each of the following as a mathematical expression. State whether the expression is linear or nonlinear. If it is nonlinear, then explain why. 1. A number decreased by three squared 2. The quotient of two and a number, subtracted from seven 3.

Write a complex number that lies above the real axis and to the left of the imaginary axis. Then write a complex number that lies below the real axis and to the right of the imaginary axis.