Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Chapter 3, Problem 5CLR
To determine

To calculate: The time spent while driving at 55mi/h.

Expert Solution & Answer
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Answer to Problem 5CLR

The time spent while driving at 55mi/h is 4 hours.

Explanation of Solution

Given information: On a 5-hour trip, some part is travelled at 30mi/h and rest at 55mi/h. Total distance travelled is 250mi.

Calculation:

Formula used: Speed=DistanceTime

Denote the distance covered at 30mi/h by x and the distance covered at 55mi/h by y.

Time taken to drive at the speed of 30mi/h is,

  Speed=DistanceTime30=xT1T1=x30

  • Here, T1 represents the time taken to drive at the speed of 30mi/h.

Time taken to drive at the speed of 55mi/h is,

  Speed=DistanceTime55=yT2T2=y55

  • Here, T2 represents the time taken to drive at the speed of 55mi/h.

Total time spent on the journey is 5-hours. Therefore,

  T1+T2=5x30+y55=5                                        (Substitute the values of T1 and T2)x5×6+y5×11=511x+6y5×6×11=5                                          (L.C.M. of 30 and 55 is 330)11x+6y=1650                                    ...... (1)

Total distance covered is given to be 250mi. Therefore,

  Total distance=250x+y=250y=250−x                                    ......(2)

Substitute the value of y from equation(2) in equation (1) and simplify,

  11x+6y=165011x+6(250−x)=1650                                 (∵y=250−x)11x+1500−6x=16505x=1650−15005x=150x=1505=30

Since y represents the distance covered while driving at 55mi/h, the distance covered is,

  y=250−x=250−30=220

Time spent while driving at 55mi/h speed is,

  Speed=DistanceTime55=yT2T2=y55=22055=4

Hence, 4 hours are spent while travelling at the speed of 55mi/h.

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Chapter 3, Problem 4CLR
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Chapter 3, Problem 6CLR

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 3.1 - Prob. 1OECh. 3.1 - Prob. 2OECh. 3.1 - Prob. 3OECh. 3.1 - Prob. 4OECh. 3.1 - Prob. 5OECh. 3.1 - Prob. 6OECh. 3.1 - Prob. 7OECh. 3.1 - Prob. 8OECh. 3.1 - Prob. 9OECh. 3.1 - Prob. 10OE
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Prob. 11PCh. 3.1 - Prob. 12PCh. 3.1 - Prob. 13PCh. 3.1 - Prob. 14PCh. 3.1 - Prob. 1MRECh. 3.1 - Prob. 2MRECh. 3.1 - Prob. 3MRECh. 3.1 - Prob. 4MRECh. 3.1 - Prob. 5MRECh. 3.1 - Prob. 6MRECh. 3.1 - Prob. 7MRECh. 3.1 - Prob. 8MRECh. 3.1 - Prob. 9MRECh. 3.1 - Prob. 10MRECh. 3.1 - Prob. 11MRECh. 3.2 - Prob. 1OECh. 3.2 - Prob. 2OECh. 3.2 - Prob. 3OECh. 3.2 - Prob. 4OECh. 3.2 - Prob. 5OECh. 3.2 - Prob. 6OECh. 3.2 - Prob. 7OECh. 3.2 - Prob. 8OECh. 3.2 - Prob. 9OECh. 3.2 - Prob. 10OECh. 3.2 - Prob. 11OECh. 3.2 - Prob. 12OECh. 3.2 - Prob. 13OECh. 3.2 - Prob. 14OECh. 3.2 - Prob. 15OECh. 3.2 - Prob. 16OECh. 3.2 - Prob. 17OECh. 3.2 - Prob. 18OECh. 3.2 - Prob. 19OECh. 3.2 - Prob. 20OECh. 3.2 - Prob. 21OECh. 3.2 - Prob. 22OECh. 3.2 - Prob. 23OECh. 3.2 - Prob. 24OECh. 3.2 - Prob. 25OECh. 3.2 - Prob. 26OECh. 3.2 - Prob. 27OECh. 3.2 - Prob. 28OECh. 3.2 - Prob. 29OECh. 3.2 - Prob. 30OECh. 3.2 - Prob. 31OECh. 3.2 - Prob. 1WECh. 3.2 - Prob. 2WECh. 3.2 - Prob. 3WECh. 3.2 - Prob. 4WECh. 3.2 - Prob. 5WECh. 3.2 - 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Prob. 18WECh. 3.5 - Prob. 19WECh. 3.5 - Prob. 20WECh. 3.5 - Prob. 21WECh. 3.5 - Prob. 22WECh. 3.5 - Prob. 23WECh. 3.5 - Prob. 24WECh. 3.5 - Prob. 25WECh. 3.5 - Prob. 26WECh. 3.5 - Prob. 27WECh. 3.5 - Prob. 28WECh. 3.5 - Prob. 29WECh. 3.5 - Prob. 30WECh. 3.5 - Prob. 31WECh. 3.5 - Prob. 32WECh. 3.5 - Prob. 33WECh. 3.5 - Prob. 34WECh. 3.5 - Prob. 35WECh. 3.5 - Prob. 36WECh. 3.5 - Prob. 37WECh. 3.5 - Prob. 38WECh. 3.5 - Prob. 39WECh. 3.5 - Prob. 40WECh. 3.5 - Prob. 41WECh. 3.5 - Prob. 42WECh. 3.5 - Prob. 43WECh. 3.5 - Prob. 1MRECh. 3.5 - Prob. 2MRECh. 3.5 - Prob. 3MRECh. 3.5 - Prob. 4MRECh. 3.5 - Prob. 5MRECh. 3.5 - Prob. 6MRECh. 3.5 - Prob. 7MRECh. 3.5 - Prob. 8MRECh. 3.5 - Prob. 9MRECh. 3.5 - Prob. 10MRECh. 3.5 - Prob. 11MRECh. 3.5 - Prob. 12MRECh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 6PCh. 3.6 - Prob. 7PCh. 3.6 - Prob. 8PCh. 3.6 - Prob. 9PCh. 3.6 - Prob. 10PCh. 3.6 - Prob. 11PCh. 3.6 - Prob. 12PCh. 3.6 - Prob. 13PCh. 3.6 - Prob. 14PCh. 3.6 - Prob. 15PCh. 3.6 - Prob. 16PCh. 3.6 - Prob. 17PCh. 3.6 - Prob. 18PCh. 3.6 - Prob. 19PCh. 3.6 - Prob. 20PCh. 3.7 - Prob. 1OECh. 3.7 - Prob. 2OECh. 3.7 - Prob. 3OECh. 3.7 - Prob. 4OECh. 3.7 - Prob. 5OECh. 3.7 - Prob. 6OECh. 3.7 - Prob. 7OECh. 3.7 - Prob. 8OECh. 3.7 - Prob. 9OECh. 3.7 - Prob. 10OECh. 3.7 - Prob. 11OECh. 3.7 - Prob. 12OECh. 3.7 - Prob. 13OECh. 3.7 - Prob. 14OECh. 3.7 - Prob. 15OECh. 3.7 - Prob. 16OECh. 3.7 - Prob. 1WECh. 3.7 - Prob. 2WECh. 3.7 - Prob. 3WECh. 3.7 - Prob. 4WECh. 3.7 - Prob. 5WECh. 3.7 - Prob. 6WECh. 3.7 - Prob. 7WECh. 3.7 - Prob. 8WECh. 3.7 - Prob. 9WECh. 3.7 - Prob. 10WECh. 3.7 - Prob. 11WECh. 3.7 - Prob. 12WECh. 3.7 - Prob. 13WECh. 3.7 - Prob. 14WECh. 3.7 - Prob. 15WECh. 3.7 - Prob. 16WECh. 3.7 - Prob. 17WECh. 3.7 - Prob. 18WECh. 3.7 - Prob. 19WECh. 3.7 - Prob. 20WECh. 3.7 - Prob. 21WECh. 3.7 - Prob. 22WECh. 3.7 - Prob. 23WECh. 3.7 - Prob. 24WECh. 3.7 - Prob. 25WECh. 3.7 - Prob. 26WECh. 3.7 - Prob. 27WECh. 3.7 - Prob. 28WECh. 3.7 - Prob. 29WECh. 3.7 - Prob. 30WECh. 3.7 - Prob. 31WECh. 3.7 - Prob. 32WECh. 3.7 - Prob. 33WECh. 3.7 - Prob. 34WECh. 3.7 - Prob. 35WECh. 3.7 - Prob. 36WECh. 3.7 - Prob. 37WECh. 3.7 - Prob. 38WECh. 3.7 - Prob. 39WECh. 3.7 - Prob. 40WECh. 3.7 - Prob. 41WECh. 3.7 - Prob. 42WECh. 3.7 - Prob. 43WECh. 3.7 - Prob. 44WECh. 3.7 - Prob. 45WECh. 3.7 - Prob. 1MRECh. 3.7 - Prob. 2MRECh. 3.7 - Prob. 3MRECh. 3.7 - Prob. 4MRECh. 3.7 - Prob. 5MRECh. 3.7 - Prob. 6MRECh. 3.7 - Prob. 7MRECh. 3.7 - Prob. 8MRECh. 3.7 - Prob. 9MRECh. 3.7 - Prob. 1STCh. 3.7 - Prob. 2STCh. 3.7 - Prob. 3STCh. 3.7 - Prob. 4STCh. 3.7 - Prob. 5STCh. 3.7 - Prob. 6STCh. 3.7 - Prob. 7STCh. 3.7 - Prob. 8STCh. 3.7 - Prob. 9STCh. 3.7 - Prob. 10STCh. 3.8 - Prob. 1OECh. 3.8 - Prob. 2OECh. 3.8 - Prob. 3OECh. 3.8 - Prob. 4OECh. 3.8 - Prob. 5OECh. 3.8 - Prob. 6OECh. 3.8 - Prob. 7OECh. 3.8 - Prob. 8OECh. 3.8 - Prob. 9OECh. 3.8 - Prob. 10OECh. 3.8 - Prob. 11OECh. 3.8 - Prob. 12OECh. 3.8 - Prob. 13OECh. 3.8 - Prob. 14OECh. 3.8 - Prob. 15OECh. 3.8 - Prob. 16OECh. 3.8 - 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Prob. 2MRECh. 3.9 - Prob. 3MRECh. 3.9 - Prob. 4MRECh. 3.9 - Prob. 5MRECh. 3.9 - Prob. 6MRECh. 3.9 - Prob. 7MRECh. 3.9 - Prob. 8MRECh. 3.9 - Prob. 9MRECh. 3.9 - Prob. 10MRECh. 3.9 - Prob. 11MRECh. 3.9 - Prob. 12MRECh. 3.9 - Prob. 13MRECh. 3.10 - Prob. 1OECh. 3.10 - Prob. 2OECh. 3.10 - Prob. 3OECh. 3.10 - Prob. 4OECh. 3.10 - Prob. 5OECh. 3.10 - Prob. 6OECh. 3.10 - Prob. 7OECh. 3.10 - Prob. 8OECh. 3.10 - Prob. 9OECh. 3.10 - Prob. 10OECh. 3.10 - Prob. 11OECh. 3.10 - Prob. 12OECh. 3.10 - Prob. 13OECh. 3.10 - Prob. 14OECh. 3.10 - Prob. 15OECh. 3.10 - Prob. 16OECh. 3.10 - Prob. 17OECh. 3.10 - Prob. 18OECh. 3.10 - Prob. 19OECh. 3.10 - Prob. 20OECh. 3.10 - Prob. 21OECh. 3.10 - Prob. 22OECh. 3.10 - Prob. 23OECh. 3.10 - Prob. 24OECh. 3.10 - Prob. 1WECh. 3.10 - Prob. 2WECh. 3.10 - Prob. 3WECh. 3.10 - Prob. 4WECh. 3.10 - Prob. 5WECh. 3.10 - Prob. 6WECh. 3.10 - Prob. 7WECh. 3.10 - Prob. 8WECh. 3.10 - Prob. 9WECh. 3.10 - Prob. 10WECh. 3.10 - Prob. 11WECh. 3.10 - Prob. 12WECh. 3.10 - Prob. 13WECh. 3.10 - Prob. 14WECh. 3.10 - Prob. 15WECh. 3.10 - Prob. 16WECh. 3.10 - Prob. 17WECh. 3.10 - Prob. 18WECh. 3.10 - Prob. 19WECh. 3.10 - Prob. 20WECh. 3.10 - Prob. 21WECh. 3.10 - Prob. 22WECh. 3.10 - Prob. 23WECh. 3.10 - Prob. 24WECh. 3.10 - Prob. 25WECh. 3.10 - Prob. 26WECh. 3.10 - Prob. 27WECh. 3.10 - Prob. 28WECh. 3.10 - Prob. 29WECh. 3.10 - Prob. 30WECh. 3.10 - Prob. 31WECh. 3.10 - Prob. 32WECh. 3.10 - Prob. 33WECh. 3.10 - Prob. 34WECh. 3.10 - Prob. 35WECh. 3.10 - Prob. 36WECh. 3.10 - Prob. 37WECh. 3.10 - Prob. 1STCh. 3.10 - Prob. 2STCh. 3.10 - Prob. 3STCh. 3.10 - Prob. 4STCh. 3.10 - Prob. 5STCh. 3.10 - Prob. 6STCh. 3.10 - Prob. 7STCh. 3.10 - Prob. 8STCh. 3.10 - Prob. 9STCh. 3.10 - Prob. 1ECh. 3.10 - Prob. 2ECh. 3.10 - Prob. 3ECh. 3.10 - Prob. 4ECh. 3.10 - Prob. 5ECh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 1CLRCh. 3 - Prob. 2CLRCh. 3 - Prob. 3CLRCh. 3 - Prob. 4CLRCh. 3 - Prob. 5CLRCh. 3 - Prob. 6CLRCh. 3 - Prob. 7CLRCh. 3 - Prob. 8CLRCh. 3 - Prob. 9CLRCh. 3 - Prob. 10CLRCh. 3 - Prob. 11CLRCh. 3 - Prob. 12CLRCh. 3 - Prob. 13CLRCh. 3 - Prob. 14CLRCh. 3 - Prob. 15CLRCh. 3 - Prob. 16CLRCh. 3 - Prob. 17CLRCh. 3 - Prob. 18CLRCh. 3 - Prob. 19CLRCh. 3 - Prob. 20CLRCh. 3 - Prob. 21CLRCh. 3 - Prob. 22CLRCh. 3 - Prob. 23CLRCh. 3 - Prob. 24CLRCh. 3 - Prob. 25CLRCh. 3 - Prob. 26CLRCh. 3 - Prob. 27CLRCh. 3 - Prob. 28CLR

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