Q56. Simplify each expression56. 70.2... [FREE SOLUTION]

91影视

Chapter 1: Q56. (page 16)

Simplify each expression
56. $7 (0.2 p + 0.3 q) + 5 (0.6 p - q)$

Short Answer

Expert verified

$7 (0.2 p + 0.3 q) + 5 (0.6 p - q)$ is simplified to $4.4 p - 0.9 q$

Step by step solution

- Write properties of real numbers

Properties of real numbers are written in following table:

For any real numbers a, b, and c:
Property	Addition	Multiplication
Commutative	a+b=b+a	$a 路 b = b 路 a$
Associative	$(a + b) + c = a + (b + c)$	$(a 路 b) 路 c = a 路 (b 路 c)$
Identity	$a + 0 = a = 0 + a$	$a 路 1 = a = 1 路 a$
Inverse	$a + (- a) = 0 = (- a) + a$	If $a 鈮� 0$ , then $a 路 \frac{1}{a} = 1 = \frac{1}{a} 路 a$
Distributive	$a (b + c) = a b + a c and (b + c) a = b a + c a$ .

- Simplify by grouping same variables

To simplify given equation, first use distributive property then commutative property of addition then distributive property to group coefficients of same variable as shown below

$\begin{matrix} 7 (0.2 p + 0.3 q) + 5 (0.6 p 鈭� q) = 1.4 p + 2.1 q + 3 p 鈭� 5 q \\ = 1.4 p + 3 p + 2.1 q 鈭� 3 q \\ = (1.4 + 3) p + (2.1 鈭� 3) q \end{matrix}$

- Simplify further

To simplify, evaluate parentheses as shown below

$(1.4 + 3) p + (2.1 鈭� 3) q = 4.4 p 鈭� 0.9 q$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Simplify each expression
56. $7 (0.2 p + 0.3 q) + 5 (0.6 p - q)$

Short Answer

Step by step solution

- Write properties of real numbers

- Simplify by grouping same variables

- Simplify further

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Mechanics Maths

Statistics

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

91影视

Simplify each expression56. 70.2p+0.3q+50.6p-q

Short Answer

Step by step solution

- Write properties of real numbers

- Simplify by grouping same variables

- Simplify further

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Mechanics Maths

Statistics

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Simplify each expression
56. $7 (0.2 p + 0.3 q) + 5 (0.6 p - q)$