/*! 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 5 Solve the equations and inequali... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 5

Solve the equations and inequalities. $$\frac{y}{6}=\frac{5}{4}$$

Short Answer

Expert verified
y = 7.5

Step by step solution

01

Understand the Equation

The given equation is \(\frac{y}{6} = \frac{5}{4}\). This is a proportion where we need to find the value of \y\.
02

Cross Multiply

To solve this proportion, cross multiply to get rid of the fractions: \[ y \times 4 = 5 \times 6 \].
03

Perform Multiplication

Now calculate the products from the cross multiplication: \[ 4y = 30 \].
04

Solve for y

To isolate \y\, divide both sides of the equation by 4: \[ y = \frac{30}{4} \].
05

Simplify the Result

Simplify the fraction: \[ y = 7.5 \].

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.

Cross Multiplication
Cross multiplication is a handy method for solving equations that involve fractions. Here, you take the numerator of one fraction and multiply it by the denominator of the other fraction. In our exercise, we started with the equation \(\frac{y}{6} = \frac{5}{4}\). When we cross multiply, we follow these steps:
  • Multiply the numerator of the first fraction (\

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 and inequalities. $$5(y-3)+\frac{2-y}{3}=\frac{7 y+1}{4}$$

Solve the equations and inequalities. $$5 z-\frac{3-z}{2}+\frac{z+4}{5}=8-\frac{z+8}{3}$$

Set up an equation or inequality and solve the problem. Be sure to indicate clearly what quantity your variable represents. Round to the nearest tenth where necessary. A total of \(\$ 5000\) is to be invested, part at \(8 \%\) and the remainder at \(10 \% .\) If the interest from the two investments is to be at least \(\$ 460\), what is the least that must be invested at \(10 \% ?\)

What is a least common denominator? Why is it needed?

Set up an equation or inequality and solve the problem. Be sure to indicate clearly what quantity your variable represents. Round to the nearest tenth where necessary. A store advertises a \(20 \%\) sale on skirts. If the reduced price range is between \(\$ 12.60\) and \(\$ 20.76,\) what was the original range of prices?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

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.