/*! 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 22 Find the value for \((a) x=4\) a... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 22

Find the value for \((a) x=4\) and \((b) x=6\). \(3.275 x\)

Short Answer

Expert verified
For \(x=4\), the value is 13.1. For \(x=6\), the value is 19.65.

Step by step solution

01

Understand the Expression

The given expression is a simple algebraic expression: \(3.275 x\). You need to substitute the value of \(x\) to find the result.
02

Substitute \(x=4\)

Replace \(x\) with 4 in the expression \(3.275 x\). \[ 3.275 \times 4 \]
03

Calculate for \(x=4\)

Perform the multiplication: \[ 3.275 \times 4 = 13.1 \] So, for \(x=4\), the value is 13.1.
04

Substitute \(x=6\)

Replace \(x\) with 6 in the expression \(3.275 x\). \[ 3.275 \times 6 \]
05

Calculate for \(x=6\)

Perform the multiplication: \[ 3.275 \times 6 = 19.65 \] So, for \(x=6\), the value is 19.65.

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Substitution
Substitution is a fundamental concept in algebra that allows us to solve problems more effectively. It involves replacing a variable with a given value. In the exercise, we substituted values for the variable 'x'. For instance, when we substitute \(x=4\) in the expression \(3.275x\), we replace 'x' with 4, changing the expression to \(3.275 \times 4\). This is a straightforward way to find the value of the expression for specific values of 'x'. Substitution is essential when you need to evaluate an expression or solve equations in algebra.
Multiplication
Multiplication plays a crucial role in algebraic expressions, especially when dealing with coefficients and variables. Here, we multiplied the coefficient 3.275 by the values substituted for 'x'. Let's break this down further. We had:
  • For \(x=4\), calculate \(3.275 \times 4\).
  • For \(x=6\), calculate \(3.275 \times 6\).
Multiplication in these steps involves simple arithmetic but understanding its role in algebra helps grasp more complex concepts later. For example, knowing how to multiply coefficients with variables correctly can aid in solving polynomial equations and simplifying expressions.
Algebraic Calculations
Algebraic calculations encompass a variety of operations including substitution, multiplication, addition, and division. In our exercise, the primary focus was on substitution and multiplication. Here鈥檚 a detailed understanding of the steps involved:
  • Start with the algebraic expression \(3.275x\).
  • Substitute the given value for 'x' (e.g., \(x=4\) and \(x=6\)).
  • Perform the multiplication to get the final value.
For example, substituting \(x=4\) leads to \(3.275 \times 4 = 13.1\), and for \(x=6\), it results in \(3.275 \times 6 = 19.65\). These calculations help us understand the power of algebraic methods in simplifying and solving problems. Mastery of these basic algebraic calculations is fundamental for progress in higher-level algebra and calculus.

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

Linda Des Jardines owes \(\$ 870.00\) on her MasterCard account. She returns two items costing \(\$ 35.90\) and \(\$ 150.00\) and receives credit for these on the account. Next, she makes a purchase of \(\$ 82.50\) and then two more purchases of \(\$ 10.00\) each. She makes a payment of \(\$ 500.00 .\) She then incurs a finance charge of \(\$ 37.23 .\) How much does she still owe?

Perform each indicated operation. $$ 4(-8)+|4-15| $$

Simplify each expression. $$ 8.4(6 t-6)+2.4(9-3 t) $$

Write a numerical expression for each phrase and simplify. The product of \(-\frac{1}{2}\) and \(\frac{3}{4},\) divided by \(-\frac{2}{3}\)

Simplify each expression. $$ -\frac{5}{6}+8 x+\frac{1}{6} x-7-\frac{7}{6} $$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Pure 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.