Chapter 9 - Section 9.1 - Solving Systems of Linear Equations in Three Variables and Problem Solving - Exercise Set - Page 639: 31

a) The Nimitz Class carrier is 1092 ft long and the Enterprise Class carrier is 1101 ft long b) The Enterprise Class carrier is 3.67 football fields long

Work Step by Step

a) N = length of the Nimitz Class carrier, E = length of Enterprise Class carrier; We are given that: E + N = 2193ft and E - N = 9ft Solve for E in the second equation: E = N + 9 Plug E into the first Equation: E + E + 9 = 2193 Solve for E: 2E + 9 = 2193 2E = 2184 E = 1101ft Plug this value of E back into second Equation This gives the value of N = 1092ft b) As a football field is 100 YARDS long it is easiest to first convert the length of the enterprise to yards from feet. 1101ft / 3 = 367yds a football field is 100yds so divide the length of the enterprise by the length of a football field to found how many football fields. 367 / 100 = 3.67 football fields.

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