/*! 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 114 Translate from English to an alg... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 114

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable \(x\) represent the number. The product of \(\frac{3}{4}\) and a number, increased by \(9,\) is 2 less than the number.

Short Answer

Expert verified
The algebraic equation for the given English phrase is \(\frac{3}{4}x + 9 = x - 2\).

Step by step solution

01

Identify the variable

The exercise mentions that 'Let the variable \(x\) represent the number'. So, the number being referred to will be represented by \(x\).
02

Translate 'Product of \(\frac{3}{4}\) and a number'

'Product' signifies multiplication in mathematics. Therefore, 'the product of \(\frac{3}{4}\) and a number' translates to \(\frac{3}{4} \times x\).
03

Translate 'increased by \(9\)'

'Increased by' signifies addition. Adding 9 to the product gives us the expression: \(\frac{3}{4}x + 9\).
04

Translate 'is 2 less than the number'

'Is 2 less than the number' represents the number subtracted by 2, which gives us the expression: \(x - 2\). This is the right side of the equation.
05

Form the final equation

Combining all the parts, we get the final equation as \(\frac{3}{4}x + 9 = x - 2\).

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

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The quotient of \(-2\) and a number, subtracted from the quotient of \(-5\) and the number.

Perform the indicated subtraction. $$\frac{1}{7}-\left(-\frac{3}{7}\right)$$

Perform the indicated subtraction. $$4 \pi-(-12 \pi)$$

Identify the terms in each algebraic expression. $$8 a-7 a b-13$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I found the variation in U.S. temperature by subtracting the record low temperature, a negative number, from the record high temperature, a positive number.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

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.