/*! 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 11 Solve each of the following prob... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 11

Solve each of the following problems. What percent of 50 is \(5 ?\)

Short Answer

Expert verified
5 is 10% of 50.

Step by step solution

01

Understand the Question

We need to find what percent of 50 is equal to 5. This means we are looking for a percentage that represents 5 as a portion of 50.
02

Set Up the Equation

To find the percentage, we'll use the formula: \[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]Here, the 'Part' is 5 and the 'Whole' is 50.
03

Substitute Values

Substitute the given values into the equation: \[ \text{Percentage} = \left( \frac{5}{50} \right) \times 100 \]
04

Simplify the Fraction

Simplify the fraction \( \frac{5}{50} \). This can be reduced to \( \frac{1}{10} \) because both 5 and 50 are divisible by 5.
05

Calculate the Percentage

Multiply the simplified fraction by 100 to find the percentage: \[ \frac{1}{10} \times 100 = 10 \]So, 5 is 10% of 50.

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.

Understanding Basic Math and Percentages
In basic math, a percentage is a way to express a number as a part of a whole. It is essentially a fraction with a denominator of 100. When we say "percent," we're referring to "per hundred." This concept allows us to compare parts of different wholes.

When you are determining a percentage of a number, you are simply figuring out how much of that number represents the entire whole when considered in terms of 100 parts.
  • It's important to start by setting up the equation properly: \( \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \).
  • This helps us find out what portion of the whole a given number is.
Percentages are a fundamental tool in math that helps to simplify and make sense of numbers in terms of their relationships to each other.
Fraction Simplification Fundamentals
Fraction simplification is an important skill in basic math. It involves reducing a fraction to its lowest terms. This means rewriting it in such a way that the numerator and the denominator are as small as possible while still maintaining the same value.

When simplifying a fraction, like \( \frac{5}{50} \), you first look for a common factor of the numerator and the denominator.
  • In this case, both 5 and 50 are divisible by 5. Dividing both by 5, we get \( \frac{1}{10} \).
  • Finding the greatest common divisor (GCD) is a useful method for simplifying.
  • This process makes further calculations like converting to percentages easier.
The importance lies in making numbers more manageable and easier to compare.
Effective Math Problem Solving Techniques
Solving math problems, particularly those involving percentages, requires a clear understanding of the process. Here鈥檚 a step-by-step technique to approach such problems:
  • **Understand the question:** Break down what is being asked. Determine which number represents the "Part" and what represents the "Whole." This step sets the foundation.
  • **Set up your equation:** Use the percentage formula \( \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \). Knowing how to input values correctly into this equation is crucial.
  • **Simplify where possible:** As fractions are commonplace in percentage problems, simplification can make the final calculations much simpler and reduce potential mistakes.
  • **Perform and confirm calculations:** Execute your equation carefully, ensuring each step is followed, and verify your results.
Through understanding and practicing these steps, one can enhance their math problem-solving skills and handle percentage problems more efficiently.

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

Use any of the methods developed in this chapter to solve them. Student credit-card debt is at an alltime high. Consolidated Credit Counseling Services Inc. reports that \(20 \%\) of all college freshman got their first credit card in high school and nearly \(40 \%\) sign up for one in their first year at college. Suppose your credit card company charges \(1.3 \%\) in finance charges per month on the average daily balance in your credit card account. If your average daily balance for this month is \(\$ 2,367.90\) determine the finance charge for the month.

The problems below will allow you to review subtraction of fractions and mixed numbers. $$\frac{5}{8}-\frac{1}{4}$$

Divide.$$\frac{1}{8} \div \frac{1}{16}$$

Write as a percent. $$0.175$$

Write as a percent. Write the remainder in fractional form. $$\frac{17}{25}$$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

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.