a. Answer Resulting equation is ( p ⋅ r ) ÷ ( q ⋅ r ) = p ÷ q Explanation Given information: p r q r = p q p r q r = p q Rewrite the rule using ⋅ for multiplication and ÷ for division Resulting equation is p r q r = p q ⇒ ( p ⋅ r ) ( q ⋅ r ) = p q ⇒ ( p ⋅ r ) ÷ ( q ⋅ r ) = p ÷ q Therefore, Resulting equation is ( p ⋅ r ) ÷ ( q ⋅ r ) = p ÷ q b. To determine To find: Is the resulting statement True. Answer Resulting equation is True. Explanation Given information: ( p ⋅ r ) ÷ ( q ⋅ r ) = p ÷ q Replace ÷ by − and ⋅ by + ( p ⋅ r ) ÷ ( q ⋅ r ) = p ÷ q Replace ÷ by − and ⋅ by + Resulting equation is ( p ⋅ r ) ÷ ( q ⋅ r ) = p ÷ q ⇒ ( p + r ) − ( q + r ) = p − q Therefore, Resulting equation is ( p + r ) − ( q + r ) = p − q Taking Left hand side We get Left hand side = ( p + r ) − ( q + r ) ⇒ Left hand side = p + r − q − r ⇒ Left hand side = p − q + r − r ⇒ Left hand side = p − q ⇒ Left hand side = Right hand side. So, resulting statement is True.

Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5.1, Problem 32WE

To determine

To find: Rewrite the rule using ⋅ for multiplication and ÷ for division.

Expert Solution

Answer to Problem 32WE

Resulting equation is (p⋅r)÷(q⋅r)=p÷q

Explanation of Solution

Given information:

prqr=pq

Rewrite the rule using ⋅ for multiplication and ÷ for division

Resulting equation is

prqr=pq⇒(p⋅r)(q⋅r)=pq⇒(p⋅r)÷(q⋅r)=p÷q

Therefore,

Resulting equation is (p⋅r)÷(q⋅r)=p÷q

To determine

To find: Is the resulting statement True.

Expert Solution

Answer to Problem 32WE

Resulting equation is True.

Explanation of Solution

Given information:

(p⋅r)÷(q⋅r)=p÷q

Replace ÷ by − and ⋅ by +

(p⋅r)÷(q⋅r)=p÷q

Replace ÷ by − and ⋅ by +

Resulting equation is

(p⋅r)÷(q⋅r)=p÷q⇒(p+r)−(q+r)=p−q

Therefore,

Resulting equation is (p+r)−(q+r)=p−q

Taking Left hand side

We get

Left hand side =(p+r)−(q+r)

⇒ Left hand side =p+r−q−r

⇒ Left hand side =p−q+r−r

⇒ Left hand side =p−q

⇒ Left hand side = Right hand side.

So, resulting statement is True.

Chapter 5.1, Problem 31WE

Chapter 5.1, Problem 33WE

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 5.1 - Prob. 1OE Ch. 5.1 - Prob. 2OE Ch. 5.1 - Prob. 3OE Ch. 5.1 - Prob. 4OE Ch. 5.1 - Prob. 5OE Ch. 5.1 - Prob. 6OE Ch. 5.1 - Prob. 7OE Ch. 5.1 - Prob. 8OE Ch. 5.1 - Prob. 9OE Ch. 5.1 - Prob. 10OE

Ch. 5.1 - Prob. 11OE Ch. 5.1 - Prob. 12OE Ch. 5.1 - Prob. 1WE Ch. 5.1 - Prob. 2WE Ch. 5.1 - Prob. 3WE Ch. 5.1 - Prob. 4WE Ch. 5.1 - Prob. 5WE Ch. 5.1 - Prob. 6WE Ch. 5.1 - Prob. 7WE Ch. 5.1 - Prob. 8WE Ch. 5.1 - Prob. 9WE Ch. 5.1 - Prob. 10WE Ch. 5.1 - Prob. 11WE Ch. 5.1 - Prob. 12WE Ch. 5.1 - Prob. 13WE Ch. 5.1 - Prob. 14WE Ch. 5.1 - Prob. 15WE Ch. 5.1 - Prob. 16WE Ch. 5.1 - Prob. 17WE Ch. 5.1 - Prob. 18WE Ch. 5.1 - Prob. 19WE Ch. 5.1 - Prob. 20WE Ch. 5.1 - Prob. 21WE Ch. 5.1 - Prob. 22WE Ch. 5.1 - Prob. 23WE Ch. 5.1 - Prob. 24WE Ch. 5.1 - Prob. 25WE Ch. 5.1 - Prob. 26WE Ch. 5.1 - Prob. 27WE Ch. 5.1 - Prob. 28WE Ch. 5.1 - Prob. 29WE Ch. 5.1 - Prob. 30WE Ch. 5.1 - Prob. 31WE Ch. 5.1 - Prob. 32WE Ch. 5.1 - Prob. 33WE Ch. 5.1 - Prob. 34WE Ch. 5.1 - Prob. 35WE Ch. 5.1 - Prob. 36WE Ch. 5.1 - Prob. 1MRE Ch. 5.1 - Prob. 2MRE Ch. 5.1 - Prob. 3MRE Ch. 5.1 - Prob. 4MRE Ch. 5.1 - Prob. 5MRE Ch. 5.1 - Prob. 6MRE Ch. 5.1 - Prob. 7MRE Ch. 5.1 - Prob. 8MRE Ch. 5.1 - Prob. 9MRE Ch. 5.1 - Prob. 10MRE Ch. 5.1 - 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