/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 18 Let \(x\) represent the number. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 18

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.

Short Answer

Expert verified
The number is 5.

Step by step solution

01

Understanding the Problem

The problem sets up the following relationship: Nine times a number is 30 more than three times that number. This can be rewritten as: '9 multiplied by some number is equal to 30 added to 3 times the same number'.
02

Formulate an Algebraic Expression

The statement can be converted to an algebraic equation. Remember, the 'number' is represented by \(x\), thus the statement 'Nine times a number is 30 more than three times that number' becomes \(9x = 3x + 30\).
03

Simplify the Equation

To solve for \(x\) you first need to simplify the equation. Do this by subtracting \(3x\) from both sides to isolate \(x\) terms to one side of the equation, resulting in \(9x - 3x = 30\), which simplifies to \(6x = 30\).
04

Solve for \(x\)

Next, divide both sides of the equation by 6 to solve for \(x\), leading to the solution \(x = 30/6 = 5\).

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

Most popular questions from this chapter

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. By reasoning through word problems, I can increase my problem-solving skills in general.

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. In an inequality such as \(5 x+4<8 x-5,\) I can avoid division by a negative number depending on which side I collect the variable terms and on which side I collect the constant terms.

Will help you prepare for the material covered in the next section. Is 6 a solution of \(4 y-7 \geq 5 ?\)

Including \(6 \%\) sales tax, a car sold for \(\$ 23,850 .\) Find the price of the car before the tax was added.

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. \(\frac{1}{2} x>3\)
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.