Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Question

Chapter 5.9, Problem 12P

To determine

To determine the number of members that went on the trip.

Expert Solution & Answer

Answer to Problem 12P

The number of members went on trip is 30.

Explanation of Solution

Given information :

Members of club equally contributed to obtain $1800.

When 6 did not contributed, share of each is increased by $10.

Let the members that went on trip be x.

Now, contribution per member is 1800x.

Original contribution per member when 6 more members were contributing is 1800(x+6).

Hence the equation shall be,

1800x−1800x+6=10

Now we shall solve for x,

1800x−1800x+6=101800(x+6−xx2+6x)=10x2+6x=10800x2+6x−10800=0(x−30)(x+36)=0x=30,−36

(Ignore negative value)

Hence the number of members went on trip is 30.

Chapter 5.9, Problem 11P

Chapter 5.9, Problem 13P

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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