/*! 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 292 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 292

In the following exercises, solve the equation. $$ h+4.37=3.5 $$

Short Answer

Expert verified
h = -0.87

Step by step solution

01

Understand the equation

The given equation is h + 4.37 = 3.5 The goal is to solve for the variable h.
02

Isolate the variable

To isolate h, subtract 4.37 from both sides of the equation.
03

Perform the subtraction

On the left side, h + 4.37 - 4.37 = h On the right side, 3.5 - 4.37 = -0.87 So the equation simplifies to h = -0.87

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.

isolating variables
When tackling a math problem, especially an equation, our main goal is often to find the value of a variable. This is called 'isolating the variable'.
In the given exercise, we're trying to find the value of h in the equation h + 4.37 = 3.5 By isolating the variable, we mean rearranging the equation so that h stands alone on one side.
To do this, we need to think of what operation is currently affecting the variable.
Since 4.37 is being added to h , we need to move 4.37 to the other side by performing the opposite operation, which is subtraction.
This will leave h by itself and isolated.
subtraction in equations
Subtraction is one of the fundamental arithmetic operations we use to solve equations. In our example, we use subtraction to move the number that is being added to the variable.
Our equation is h + 4.37 = 3.5 To isolate h , we subtract 4.37 from both sides: h + 4.37 - 4.37 = 3.5 - 4.37 Subtracting 4.37 from itself on the left side cancels it out, leaving us with just h on that side: h = 3.5 - 4.37 On the right side, we perform the subtraction: 3.5 - 4.37.
Remember, anytime we do something to one side of the equation, we must do the same to the other side to keep the equation balanced.
prealgebra problems
Prealgebra is all about learning the basics of algebra and understanding how to manipulate equations.
In this problem, we are practicing the skills needed for more complex algebraic work.
The fundamental steps include:
  • Understanding the goal - in this case, finding the value of h
  • Using arithmetic operations like addition and subtraction to rearrange the equation
  • Ensuring both sides of the equation remain equal
Let鈥檚 look at our exercise again: h + 4.37 = 3.5 By following the steps, we've isolated h and found that: h = -0.87 This is an essential prealgebra skill, setting the foundation for solving more complicated equations in the future.

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

In the following exercises, locate each number on a number line. $$-2.5$$

In the following exercises, find the unit rate. Round to two decimal places, if necessary. \(\$798 \text { for 40 hours}\)

The parking lot at the airport charges \(\$ 0.75\) for every 15 minutes. (a) How much does it cost to park for 1 hour? (b) Explain how you got your answer to part (a). Was your reasoning based on the unit cost or did you use another method?

In the following exercises, translate the English phrase into an algebraic expression. 793 miles per \(p\) hours

In the following exercises, find the unit rate. Round to two decimal places, if necessary. 46 beats in 0.5 minute
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

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.