/*! 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 56 You have 30 hits in 120 times at... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 56

You have 30 hits in 120 times at bat. Your batting average is \(\frac{30}{120},\) or \(0.25 .\) How many consecutive hits must you get to increase your batting average to \(0.28 ?\)

Short Answer

Expert verified
The player needs 5 additional consecutive hits to increase the batting average to 0.28.

Step by step solution

01

Understand the Concept of Batting Average

Batting average in baseball is calculated as the total number of hits divided by total number of times at bat. Currently, the player's batting average is 0.25, which comes from \(\frac{30 \text { hits}}{120 \text { at bats}}.\)
02

Set Up the Equation

To calculate the number of consecutive hits (\(x\)) needed to raise the batting average to 0.28, a new formula can be set up by assuming that the player hits every ball in the next \(x\) tries. The equation would then be \(\frac{30 + x}{120 + x} = 0.28\).
03

Solve the Equation

Solving the equation \(\frac{30 + x}{120 + x} = 0.28\), we have \(30+x=0.28 (120+x)\). Solving this equation will give us the value of \(x\).
04

Calculating the Value of x

To solve for \(x\), distribute the 0.28 to both 120 and \(x\) to get \(30+x=33.6+0.28x\). Subtract \(0.28x\) and 30 from both sides of the equation to get \(0.72x=3.6\). Then, divide both sides by 0.72 to find \(x\), which is the number of needed hits.

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

What is a linear equation in one variable? Give an example of this type of equation.

Perform the indicated operations. Simplify the result, if possible. $$\left(4-\frac{3}{x+2}\right)\left(1+\frac{5}{x-1}\right)$$

Explain how to divide rational expressions.

The average rate on a round-trip commute having a one-way distance \(d\) is given by the complex rational expression $$\frac{2 d}{\frac{d}{r_{1}}+\frac{d}{r_{2}}}$$ in which \(r_{1}\) and \(r_{2}\) are the average rates on the outgoing and return trips, respectively. Simplify the expression. Then find your average rate if you drive to campus averaging 40 miles per hour and return home on the same route averaging 30 miles per hour. Explain why the answer is not 35 miles per hour.

Will help you prepare for the material covered in the next section. If the width of a rectangle is represented by \(x\) and the length is represented by \(x+200\), write a simplified algebraic expression that models the rectangle's perimeter.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

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.