A special-purpose cartographer (mapmaker) receives an order requiring a customized map with a scale of one inch = 50 miles.If the actual straight-line ground distance between two points is 120 miles, how far apart should the cartographer show them on the map?
Answer(s): B
Since one inch on the map represents 50 miles, divide the ground distance (120 miles) by the scale (50 miles to the inch) to find the number of inches needed to represent 120 miles.120 ÷ 50 = 2.4
In Hendricks on Township, houses are assessed at 80% of the purchase price.If Mr. Thomas buys a house in Hendricks on for $120,000 and rea estate taxes are $4.75 per $100 of assessed valuation, how much property tax must he pay per year?
Answer(s): C
Multiply the purchase price of the home by the assessment rate to find the assessed value.120,000 × 0.8 = $96,000 (assessed value)Find the number of hundreds in the assessed value.$96,000 ÷ 100 = 960 (hundreds)Multiply the number of hundreds by the tax rate.960 × $4.75 = $4,560 (property tax)
The fuel tank of a gasoline generator holds enough fuel to operate the generator for one hour and 15 minutes.About how many times must the fuel tank be filled to run the generator from 6:15 p.m. to 7:00 a.m.?
First find the total time needed to run the generator = 12 hours and 45 minutes or 12.75 minutes. Now divide the total time needed to run the generator by the amount of rime each tank of fuel will last.12.75 / 1.25 = 10.2 tanks of fuel
When Highway 2011 was converted from toll-free to a toll road, the traffic density per day declined from 11,200 vehicles to 10,044.What was the percentage decline in traffic?
Answer(s): A
First find the amount of the decline in traffic. 11,200 cars - 10,044 cars = 1,156 fewer cars per day. Now multiply the amount of traffic decrease by 100 and then divide it by the amount of original traffic. This will yield the percentage decrease without further calculation.1,156 × 100 = 115,600115,600 ÷ 11,200 = 10.3% decrease
June drove for two hours at an average speed of 70 miles per hour, then drove another 90 minutes at an average speed of 65 miles per hour.If her vehicle gets 25 miles per gallon on the highway in this speed range, about how many gallons of gas did she use for the trip?
Answer(s): D
First calculate the distances driven during the two legs of the trip.Leg 1: 2 hours × 70 mph = 140 milesLeg 2: 1.5 hours × 65 mph = 97.5 miles140 miles + 97.5 miles = 237.5 milesNow divide the total distance traveled by the car's gas mileage rate.237.5 miles 4 ÷ 25 mpg = 9.5 gallons
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