/*! 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 62 Solve each proportion and check.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 62

Solve each proportion and check. \(\frac{x}{32}=\frac{3}{24}\)

Short Answer

Expert verified
The solution of the given proportion is \(x = 4\).

Step by step solution

01

Cross Multiplication

To find the value of x, we need to perform the cross multiplication. This rule says, in a proportion like \(\frac{a}{b}=\frac{c}{d}\), we have \(ad=bc\). In our case, x*24 = 3*32.
02

Compute the Multiplications

Compute the multiplication on both sides. The multiplication gives 24x = 96.
03

Solve for Variable

Now divide both sides by 24 to solve for x (as we need to isolate x). The obtained equation is \(x=\frac{96}{24}\). This gives us \(x=4\).
04

Checking

Now, substitute x = 4 into the original proportion. We have \(\frac{4}{32}=\frac{3}{24}\). Since \(\frac{4}{32}\) simplifies to \(\frac{1}{8}\) and \(\frac{3}{24}\) also simplifies to \(\frac{1}{8}\), the initial proportion holds true.

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 equations using the quadratic formula. \(4 x^{2}=12 x-9\)

Solve each equation by the method of your choice. \((x-1)(3 x+2)=-7(x-1)\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-9 x+81\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(8 x^{2}+33 x+4\)

Solve each equation by the method of your choice. \(3 x^{2}-6 x-3=12-6 x\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

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.