/*! 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 101 Solve each equation. \(0.7 x+0... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 101

Solve each equation. \(0.7 x+0.4(20)=0.5(x+20)\)

Short Answer

Expert verified
The solution to the equation is \(x = 10\).

Step by step solution

01

Simplify the Equation

First, resolve the parentheses by distributing \(0.4\) across \(20\) and \(0.5\) across \(x + 20\). This gives: \(0.7x + 8 = 0.5x + 10\).
02

Rearrange the Equation

Next, group all the terms of \(x\) together by subtracting \(0.5x\) from both sides. This results in: \(0.2x + 8 = 10\).
03

Solve for x

Finally, isolate \(x\) by subtracting 8 from both sides of the equation. Hence, the final simplified equation is \(0.2x = 2\). Divide both sides by \(0.2\) to find \(x\). Giving \(x = 10\).

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

Solve the quadratic equations by factoring. \(x(6 x+23)+7=0\)

Solve each equation by the method of your choice. \(\frac{x^{2}}{3}-\frac{x}{2}-\frac{3}{2}=0\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-2 x-15\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}-25 x-28\)

Solve the equations using the quadratic formula. \(x^{2}+8 x+12=0\)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Decision 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.