Chapter 2: Q. 151 (page 230)

In the following exercise, translate to an equation and then solve.
The quotient of b and −6 is 18

Short Answer

Expert verified

$Thetranslationintheequationformis \frac{b}{- 6} = 18 andthesolutionis b = - 108.$

Step by step solution

Step 1. Given information

Given:

The quotient of b and −6 is 18.

We will translate the sentence into an equation and then solve the equation.

Step 2. Translate the sentence into an equation

Now,

$\begin{array}{l} \underset{}{\underset{⏟}{Thequotientof b and - 6}} \underset{}{\underset{⏟}{is}} \underset{}{\underset{⏟}{18}} \\ ⇓ ⇓ ⇓ \\ \frac{b}{- 6} =18 \end{array}$

Step 3. Simplify

Now,

$\begin{array}{l} \Rightarrow \frac{b}{- 6} = 18 \\ \Rightarrow 6 \times \frac{b}{- 6} = - 6 \times 18 [Multiplyboththesidesby - 6] \\ \Rightarrow b = - 108 \end{array}$

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercise, translate to an equation and then solve.
The quotient of b and −6 is 18

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate the sentence into an equation

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercise, translate to an equation and then solve.The quotient of b and −6 is 18

Short Answer

Step by step solution

Step 1. Given information

Step 2. Translate the sentence into an equation

Step 3. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercise, translate to an equation and then solve.
The quotient of b and −6 is 18