Math Problem Statement

  1. The mass of the parasitic wasp Caraphractus cintus can be as small as 5 x 10-6 kg. What is this mass in (a) grams, and (b) milligrams? [a. 0.005g, b. 5mg]

  2. Vesna Vulovic survived the longest fall on record without a parachute when her plane exploded and she fell 6 miles, 551 yards. What is this distance in meters? [10,159m]

  3. How many seconds are there in (a) one hour and thirty-five minutes, and (b) one day? [a. 5700s, b. 86,400s]

  4. Bicyclists in the Tour de France reach speeds of 34.0 miles per hour (mi/h) on flat sections of the road. What is this speed in (a) kilometers per hour (km/h) and (b) meters per second (m/s)? [a. 54.71km/h, b. 15.20m/s]

Solution

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Dimensional Analysis
Algebra

Formulas

1 kilogram = 1000 grams
1 gram = 1000 milligrams
1 mile = 1609.34 meters
1 yard = 0.9144 meters
1 hour = 3600 seconds
1 day = 86400 seconds
1 mile/hour = 1.60934 kilometers/hour
1 kilometer/hour = 0.277778 meters/second

Theorems

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Suitable Grade Level

Grades 9-12