Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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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Question
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Chapter 7.8, Problem 16P
To determine

Tofind:the total duration that Phillis and Rakes took by working together.

Expert Solution & Answer
Check Mark

Answer to Problem 16P

It will take 20 minute working together.

Explanation of Solution

Given:

Phillis can rack the lawn in 50 min.

First person can do it in 40 min.

If Rakes join before 5 min then first person.

Concept used:

Rate of the work:

Ratio of work to the time interval with changes in time rate of work will change.

  work rate=work donetime .

  work rate×time=workdone .

Calculation:

The equation where x is amount of time in working together.

  5+x50+x40=1 .

Combining like terms and multiplying both side by 200:

  4(5+x)+5x=200 .

  20+4x+5x=200 .

  20+9x=200 .

Subtracting 20 from both side:

  9x=180 .

Dividing both side by the 9 :

  x=20 .

Hence, it will take 20 minute working together.

Previous
Chapter 7.8, Problem 15P
Next
Chapter 7.8, Problem 17P

Chapter 7 Solutions

Algebra: Structure And Method, Book 1

Ch. 7.1 - Prob. 1OECh. 7.1 - Prob. 2OECh. 7.1 - Prob. 3OECh. 7.1 - Prob. 4OECh. 7.1 - Prob. 5OECh. 7.1 - Prob. 6OECh. 7.1 - Prob. 7OECh. 7.1 - Prob. 8OECh. 7.1 - Prob. 9OECh. 7.1 - Prob. 10OE
Ch. 7.1 - Prob. 11OECh. 7.1 - Prob. 12OECh. 7.1 - Prob. 1WECh. 7.1 - Prob. 2WECh. 7.1 - Prob. 3WECh. 7.1 - Prob. 4WECh. 7.1 - Prob. 5WECh. 7.1 - Prob. 6WECh. 7.1 - Prob. 7WECh. 7.1 - Prob. 8WECh. 7.1 - Prob. 9WECh. 7.1 - Prob. 10WECh. 7.1 - Prob. 11WECh. 7.1 - Prob. 12WECh. 7.1 - Prob. 13WECh. 7.1 - Prob. 14WECh. 7.1 - Prob. 15WECh. 7.1 - Prob. 16WECh. 7.1 - Prob. 17WECh. 7.1 - Prob. 18WECh. 7.1 - Prob. 19WECh. 7.1 - Prob. 20WECh. 7.1 - Prob. 21WECh. 7.1 - Prob. 22WECh. 7.1 - Prob. 23WECh. 7.1 - Prob. 24WECh. 7.1 - Prob. 25WECh. 7.1 - Prob. 26WECh. 7.1 - Prob. 27WECh. 7.1 - Prob. 28WECh. 7.1 - Prob. 29WECh. 7.1 - Prob. 30WECh. 7.1 - Prob. 31WECh. 7.1 - Prob. 32WECh. 7.1 - Prob. 33WECh. 7.1 - Prob. 34WECh. 7.1 - Prob. 35WECh. 7.1 - Prob. 36WECh. 7.1 - Prob. 37WECh. 7.1 - Prob. 38WECh. 7.1 - Prob. 39WECh. 7.1 - Prob. 40WECh. 7.1 - Prob. 41WECh. 7.1 - Prob. 42WECh. 7.1 - Prob. 43WECh. 7.1 - Prob. 44WECh. 7.1 - Prob. 45WECh. 7.1 - Prob. 1PCh. 7.1 - Prob. 2PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - 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Prob. 6WECh. 7.5 - Prob. 7WECh. 7.5 - Prob. 8WECh. 7.5 - Prob. 9WECh. 7.5 - Prob. 10WECh. 7.5 - Prob. 11WECh. 7.5 - Prob. 12WECh. 7.5 - Prob. 13WECh. 7.5 - Prob. 14WECh. 7.5 - Prob. 15WECh. 7.5 - Prob. 16WECh. 7.5 - Prob. 17WECh. 7.5 - Prob. 18WECh. 7.5 - Prob. 19WECh. 7.5 - Prob. 20WECh. 7.5 - Prob. 21WECh. 7.5 - Prob. 22WECh. 7.5 - Prob. 23WECh. 7.5 - Prob. 24WECh. 7.5 - Prob. 25WECh. 7.5 - Prob. 26WECh. 7.5 - Prob. 27WECh. 7.5 - Prob. 28WECh. 7.5 - Prob. 29WECh. 7.5 - Prob. 30WECh. 7.5 - Prob. 31WECh. 7.5 - Prob. 32WECh. 7.5 - Prob. 33WECh. 7.5 - Prob. 34WECh. 7.5 - Prob. 35WECh. 7.5 - Prob. 36WECh. 7.5 - Prob. 37WECh. 7.5 - Prob. 38WECh. 7.5 - Prob. 39WECh. 7.5 - Prob. 40WECh. 7.5 - Prob. 41WECh. 7.5 - Prob. 42WECh. 7.5 - Prob. 43WECh. 7.5 - Prob. 44WECh. 7.5 - Prob. 45WECh. 7.5 - Prob. 46WECh. 7.5 - Prob. 47WECh. 7.5 - Prob. 48WECh. 7.5 - Prob. 49WECh. 7.5 - Prob. 50WECh. 7.5 - Prob. 51WECh. 7.5 - Prob. 52WECh. 7.5 - Prob. 53WECh. 7.5 - Prob. 54WECh. 7.5 - Prob. 55WECh. 7.5 - Prob. 56WECh. 7.5 - 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Prob. 22OECh. 7.9 - Prob. 23OECh. 7.9 - Prob. 24OECh. 7.9 - Prob. 25OECh. 7.9 - Prob. 1WECh. 7.9 - Prob. 2WECh. 7.9 - Prob. 3WECh. 7.9 - Prob. 4WECh. 7.9 - Prob. 5WECh. 7.9 - Prob. 6WECh. 7.9 - Prob. 7WECh. 7.9 - Prob. 8WECh. 7.9 - Prob. 9WECh. 7.9 - Prob. 10WECh. 7.9 - Prob. 11WECh. 7.9 - Prob. 12WECh. 7.9 - Prob. 13WECh. 7.9 - Prob. 14WECh. 7.9 - Prob. 15WECh. 7.9 - Prob. 16WECh. 7.9 - Prob. 17WECh. 7.9 - Prob. 18WECh. 7.9 - Prob. 19WECh. 7.9 - Prob. 20WECh. 7.9 - Prob. 21WECh. 7.9 - Prob. 22WECh. 7.9 - Prob. 23WECh. 7.9 - Prob. 24WECh. 7.9 - Prob. 25WECh. 7.9 - Prob. 26WECh. 7.9 - Prob. 27WECh. 7.9 - Prob. 28WECh. 7.9 - Prob. 29WECh. 7.9 - Prob. 30WECh. 7.9 - Prob. 31WECh. 7.9 - Prob. 32WECh. 7.9 - Prob. 33WECh. 7.9 - Prob. 34WECh. 7.9 - Prob. 35WECh. 7.9 - Prob. 36WECh. 7.9 - Prob. 37WECh. 7.9 - Prob. 38WECh. 7.9 - Prob. 39WECh. 7.9 - Prob. 40WECh. 7.9 - Prob. 41WECh. 7.9 - Prob. 42WECh. 7.9 - Prob. 43WECh. 7.9 - Prob. 44WECh. 7.9 - Prob. 45WECh. 7.9 - Prob. 46WECh. 7.9 - Prob. 47WECh. 7.9 - Prob. 48WECh. 7.9 - Prob. 49WECh. 7.9 - Prob. 50WECh. 7.9 - Prob. 51WECh. 7.9 - Prob. 52WECh. 7.9 - Prob. 53WECh. 7.9 - Prob. 54WECh. 7.9 - Prob. 55WECh. 7.9 - Prob. 56WECh. 7.9 - Prob. 57WECh. 7.9 - Prob. 58WECh. 7.9 - Prob. 59WECh. 7.9 - Prob. 60WECh. 7.9 - Prob. 61WECh. 7.9 - Prob. 62WECh. 7.9 - Prob. 63WECh. 7.9 - Prob. 64WECh. 7.9 - Prob. 65WECh. 7.9 - Prob. 66WECh. 7.9 - Prob. 67WECh. 7.9 - Prob. 68WECh. 7.9 - Prob. 69WECh. 7.9 - Prob. 70WECh. 7.9 - Prob. 71WECh. 7.9 - Prob. 1PCh. 7.9 - Prob. 2PCh. 7.9 - Prob. 3PCh. 7.9 - Prob. 4PCh. 7.9 - Prob. 5PCh. 7.9 - Prob. 1MRECh. 7.9 - Prob. 2MRECh. 7.9 - Prob. 3MRECh. 7.9 - Prob. 4MRECh. 7.9 - Prob. 5MRECh. 7.9 - Prob. 6MRECh. 7.9 - Prob. 7MRECh. 7.9 - Prob. 8MRECh. 7.9 - Prob. 9MRECh. 7.10 - Prob. 1OECh. 7.10 - Prob. 2OECh. 7.10 - Prob. 3OECh. 7.10 - Prob. 4OECh. 7.10 - Prob. 5OECh. 7.10 - Prob. 6OECh. 7.10 - Prob. 7OECh. 7.10 - Prob. 8OECh. 7.10 - Prob. 9OECh. 7.10 - Prob. 10OECh. 7.10 - Prob. 11OECh. 7.10 - Prob. 12OECh. 7.10 - Prob. 13OECh. 7.10 - Prob. 14OECh. 7.10 - Prob. 15OECh. 7.10 - Prob. 16OECh. 7.10 - Prob. 17OECh. 7.10 - Prob. 18OECh. 7.10 - Prob. 19OECh. 7.10 - Prob. 20OECh. 7.10 - Prob. 21OECh. 7.10 - Prob. 22OECh. 7.10 - Prob. 23OECh. 7.10 - Prob. 24OECh. 7.10 - Prob. 1WECh. 7.10 - Prob. 2WECh. 7.10 - Prob. 3WECh. 7.10 - Prob. 4WECh. 7.10 - Prob. 5WECh. 7.10 - Prob. 6WECh. 7.10 - Prob. 7WECh. 7.10 - Prob. 8WECh. 7.10 - Prob. 9WECh. 7.10 - Prob. 10WECh. 7.10 - Prob. 11WECh. 7.10 - Prob. 12WECh. 7.10 - Prob. 13WECh. 7.10 - Prob. 14WECh. 7.10 - Prob. 15WECh. 7.10 - Prob. 16WECh. 7.10 - Prob. 17WECh. 7.10 - Prob. 18WECh. 7.10 - Prob. 19WECh. 7.10 - Prob. 20WECh. 7.10 - Prob. 21WECh. 7.10 - Prob. 22WECh. 7.10 - Prob. 23WECh. 7.10 - Prob. 24WECh. 7.10 - Prob. 25WECh. 7.10 - Prob. 26WECh. 7.10 - Prob. 27WECh. 7.10 - Prob. 28WECh. 7.10 - Prob. 29WECh. 7.10 - Prob. 30WECh. 7.10 - Prob. 31WECh. 7.10 - Prob. 32WECh. 7.10 - Prob. 1PCh. 7.10 - Prob. 2PCh. 7.10 - Prob. 3PCh. 7.10 - Prob. 1MRECh. 7.10 - Prob. 2MRECh. 7.10 - Prob. 3MRECh. 7.10 - Prob. 4MRECh. 7.10 - Prob. 5MRECh. 7.10 - Prob. 6MRECh. 7.10 - Prob. 7MRECh. 7.10 - Prob. 8MRECh. 7.10 - Prob. 9MRECh. 7.10 - Prob. 1STCh. 7.10 - Prob. 2STCh. 7.10 - Prob. 3STCh. 7.10 - Prob. 4STCh. 7.10 - Prob. 5STCh. 7.10 - Prob. 6STCh. 7.10 - Prob. 7STCh. 7.10 - Prob. 8STCh. 7.10 - Prob. 9STCh. 7.10 - Prob. 10STCh. 7.10 - Prob. 11STCh. 7.10 - Prob. 12STCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 17CTCh. 7 - Prob. 18CTCh. 7 - Prob. 19CTCh. 7 - Prob. 20CTCh. 7 - Prob. 21CTCh. 7 - Prob. 22CTCh. 7 - Prob. 23CTCh. 7 - Prob. 24CTCh. 7 - Prob. 25CTCh. 7 - Prob. 26CTCh. 7 - Prob. 27CTCh. 7 - Prob. 1CLRCh. 7 - Prob. 2CLRCh. 7 - Prob. 3CLRCh. 7 - Prob. 4CLRCh. 7 - Prob. 5CLRCh. 7 - Prob. 6CLRCh. 7 - Prob. 7CLRCh. 7 - Prob. 8CLRCh. 7 - Prob. 9CLRCh. 7 - Prob. 10CLRCh. 7 - Prob. 11CLRCh. 7 - Prob. 12CLRCh. 7 - Prob. 13CLRCh. 7 - Prob. 14CLRCh. 7 - Prob. 15CLRCh. 7 - Prob. 16CLRCh. 7 - Prob. 17CLRCh. 7 - Prob. 18CLRCh. 7 - Prob. 19CLRCh. 7 - Prob. 20CLRCh. 7 - Prob. 21CLRCh. 7 - Prob. 22CLRCh. 7 - Prob. 23CLRCh. 7 - Prob. 24CLRCh. 7 - Prob. 25CLRCh. 7 - Prob. 26CLRCh. 7 - Prob. 27CLRCh. 7 - Prob. 28CLRCh. 7 - Prob. 29CLRCh. 7 - Prob. 30CLRCh. 7 - Prob. 31CLRCh. 7 - Prob. 32CLRCh. 7 - Prob. 33CLRCh. 7 - Prob. 34CLRCh. 7 - Prob. 35CLRCh. 7 - Prob. 36CLRCh. 7 - Prob. 37CLRCh. 7 - Prob. 38CLRCh. 7 - Prob. 39CLRCh. 7 - Prob. 1MSCh. 7 - Prob. 2MSCh. 7 - Prob. 3MSCh. 7 - Prob. 4MSCh. 7 - Prob. 5MSCh. 7 - Prob. 6MSCh. 7 - Prob. 7MSCh. 7 - Prob. 8MSCh. 7 - Prob. 9MSCh. 7 - Prob. 10MSCh. 7 - Prob. 11MSCh. 7 - Prob. 12MSCh. 7 - Prob. 13MSCh. 7 - Prob. 14MSCh. 7 - Prob. 15MSCh. 7 - Prob. 16MSCh. 7 - Prob. 17MSCh. 7 - Prob. 18MSCh. 7 - Prob. 19MSCh. 7 - Prob. 20MSCh. 7 - Prob. 21MSCh. 7 - Prob. 22MSCh. 7 - Prob. 23MSCh. 7 - Prob. 24MSCh. 7 - Prob. 25MSCh. 7 - Prob. 26MSCh. 7 - Prob. 27MSCh. 7 - Prob. 28MSCh. 7 - Prob. 29MSCh. 7 - Prob. 30MSCh. 7 - Prob. 31MSCh. 7 - Prob. 32MSCh. 7 - Prob. 33MSCh. 7 - Prob. 34MSCh. 7 - Prob. 35MSCh. 7 - Prob. 36MSCh. 7 - Prob. 1MPSCh. 7 - Prob. 2MPSCh. 7 - Prob. 3MPSCh. 7 - Prob. 4MPSCh. 7 - Prob. 5MPSCh. 7 - Prob. 6MPSCh. 7 - Prob. 7MPSCh. 7 - Prob. 8MPSCh. 7 - Prob. 9MPSCh. 7 - Prob. 10MPSCh. 7 - Prob. 11MPSCh. 7 - Prob. 12MPSCh. 7 - Prob. 13MPSCh. 7 - Prob. 14MPS

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