Exam 2: Approaches to Problem Solving

Use the following table of exchange rates to solve the problem. Round your answer when appropriate. Currency Dollars per Foreign Foreign per Dollar British pound 1.624 0.6158 Canadian dollar 1.005 0.9950 European euro 1.320 0.7576 Japanese yen 0.0120 83.33 Mexican peso 0.07855 12.73 -Which is worth most, 1 British pound, 1 Canadian dollar, 1 European euro, or 1 dollar?

Solve the problem. -A column has a circular base with an area of 6 square feet and is 14 feet tall. What is its total volume?

Convert the measurement to the units specified. Round your answer to the nearest tenth. -15 cubic inches to milliliters

Decide whether the statement makes sense. Explain your reasoning. -The boat leaked and started filling with water. There must be 50 gallons of water in it already.

Evaluate. - $\frac { 3 } { 2 } \times \frac { 1 } { 1 }$

Solve the problem. -A curved bridge rises over a river, so that the two endpoints of the bridge are 160 yards apart horizontally. You walk across the bridge with a device to measure its length and discover that the walking distance is 168 yards. Approximately how high does the bridge rise above the horizontal?

Answer the following question involving a conversion within the USCS system. -If a horse ran 4 furlongs, how many yards did it run?

Answer the following question involving a conversion within the USCS system. -How many quarts are in 57 barrels of water?

Decide whether the statement makes sense. Explain your reasoning. -We will need 1800 cubic feet of carpeting to cover the floors in our three-story house.

Decide whether the statement makes sense. Explain your reasoning. -To convert square yards to square inches, I multiplied by $12 ^ { 2 } \text { or } 144$

Solve the problem. -How do you measure 6 minutes with a 7-minute hourglass and a 5-minute hourglass? Assume that the hourglasses can only measure 7-minute and 5-minute intervals, respectively, and cannot be used to measure other time intervals.

Solve the problem. -A warehouse is 42 yards long and 26 yards wide with a height of 13 yards. What is the volume of the warehouse?

Use units to help you answer the question. If necessary, round your answer to two decimal places. -A stockbroker sold 35 shares of stock for $40.31 each. What was the total amount of the sale?

Convert the common fraction into decimal form. If necessary, round to the nearest thousandth. - $\frac { 102 } { 79 }$

Decide whether the statement makes sense. Explain your reasoning. -Our utility company charges 10 cents per joule for the energy we use.

Solve the problem. - $10 ^ { 5 } \times 10 ^ { 9 }$

Solve the problem. -A swimming pool 4 meters deep, 15 meters long, and 8 meters wide is filled with water. What is the area of the water's surface?

Solve the problem. -Suppose that China's population policy is modified so that every family could have children until either a boy is born or two children are born, whichever comes first. Assuming that every family chooses to have as many children as possible under this policy, and that boys and girls are equally likely, how many children would be born in a typical group of 1000 families?

Solve the problem. -Abe, Boris, Cal, and David all proposed to Ellie on Friday. Abe proposed at 5:00, Boris proposed at 6:00, Cal proposed at 7:00, and David proposed at 8:00. Ellie accepted the last of the four proposals. Some clues: (1)The times may be A.M. or P.M. (2)Boris proposed before Abe (3)At least one suitor proposed between the proposals of Cal and David. (4) Cal did not propose between Boris and Al. Whose proposal did Ellie accept?

Identify the units you would expect for the given quantity. -The density of a meteor, found by dividing its mass in kilograms by its volume in cubic meters.