Pre-Algebra
Pre-Algebra
1st Edition
ISBN: 9780618800766
Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold
Publisher: Houghton Mifflin-High School
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Chapter 2.7, Problem 47E

a.

To determine

To calculate: the speed of each airplane.

a.

Expert Solution
Check Mark

Answer to Problem 47E

the speed of Cessna Skyhawk, Boeing 747 and Concorde are 141, 571 and 1346, respectively

Explanation of Solution

Given information: consider the table provided in the question,

Pre-Algebra, Chapter 2.7, Problem 47E

Formula used:

  MachNumber=SpeedofAirplaneSpeedofSound ......(1)

Calculation:

For Cessna Skyhawk,

Let the speed of the airplane be x.

Mach number = 0.19

Speed of sound = 740

Evaluate the value to (1),

  0.19=x740

Multiply 740 on both sides,

  0.19(740)=x(740)740141=x

For Boeing 747 ,

Let the speed of the airplane be x.

Mach number = 0.86

Speed of sound = 663

Evaluate the value to (1),

  0.86=x663

Multiply 663 on both sides,

  0.86(663)=x(663)663571=x

For Concorde,

Let the speed of the airplane be x.

Mach number = 2.04

Speed of sound = 660

Evaluate the value to (1),

  2.04=x660

Multiply 660 on both sides,

  2.04(660)=x(660)6601346=x

Hence, the speed of Cessna Skyhawk, Boeing 747 and Concorde are 141, 571 and 1346, respectively

b.

To determine

To calculate: the time taken to travel 550 miles.

b.

Expert Solution
Check Mark

Answer to Problem 47E

The time taken to travel 550 miles by Cessna Skyhawk, Boeing 747 and Concorde are 3.9 h, 0.9 h and 0.4 h.

Explanation of Solution

Given information: the speed of Cessna Skyhawk, Boeing 747 and Concorde are 141, 571 and 1346, respectively. The distance to be covered is 550 miles.

Formula used:

  time=distancespeed .......(1)

Calculation:

For Cessna Skyhawk,

Speed = 141

Distance = 550 miles

Evaluate the value to (1),

  time=550141=3.9h

For Boeing 747 ,

Speed = 571

Distance = 550 miles

Evaluate the value to (1),

  time=550571=0.9h

For Concorde,

Speed = 1346

Distance = 550 miles

Evaluate the value to (1),

  time=5501346=0.4h

Hence, the time taken to travel 550 miles by Cessna Skyhawk, Boeing 747 and Concorde are 3.9 h, 0.9 h and 0.4 h.

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Chapter 2.7, Problem 46E
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Chapter 2.7, Problem 48E

Chapter 2 Solutions

Pre-Algebra

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