Domanda del libro di testo
Simplify and write the result in standard form. √-108
1045
views
Ch. 1 - Equations and Inequalities
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 2, Problema 31
An automobile repair shop charged a customer \$1182, listing \$357 for parts and the remainder for labor. If the cost of labor is \$75 per hour, how many hours of labor did it take to repair the car?
Guida verificata passo dopo passo1
Identify the total charge and the cost of parts. The total charge is \$1182, and the parts cost \$357.
Calculate the cost of labor by subtracting the cost of parts from the total charge: \(\$1182 - \$357\).
Let the number of labor hours be represented by the variable \(h\).
Set up the equation for labor cost using the hourly rate: \(75h = \text{cost of labor}\).
Solve for \(h\) by dividing the cost of labor by 75: \(h = \frac{\text{cost of labor}}{75}\).
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
2mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Setting Up an Equation
To solve word problems, translate the given information into an algebraic equation. Here, the total cost equals the sum of parts and labor costs, allowing you to express labor cost in terms of hours and set up an equation to find the unknown.
Video consigliato:
06:00
Categorizing Linear Equations
Solving Linear Equations
Once the equation is set, use algebraic methods to isolate the variable representing hours. This involves basic operations like subtraction and division to solve for the unknown quantity.
Video consigliato:
04:02Solving Linear Equations with Fractions
Unit Rate and Cost Interpretation
Understanding the meaning of unit rates, such as $75 per hour for labor, is essential. This helps convert the total labor cost into hours by dividing the labor cost by the hourly rate.
Video consigliato:
05:02Square Roots of Negative Numbers
Pratica correlata
Domanda del libro di testo
Solve each radical equation in Exercises 11–30. Check all proposed solutions.
757
views
Domanda del libro di testo
Solve each equation in Exercises 15–34 by the square root property. (4x - 1)2 = 16
710
views
Domanda del libro di testo
Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. x/5 - 1/2 = x/6
1019
views
1
rank
Domanda del libro di testo
Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. 3x/5 = 2x/3 + 1
878
views
Domanda del libro di testo
In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. -9x ≥ 36
721
views