/*! 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 44 Currently a sports league has 33... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 44

Currently a sports league has 33 teams with 24 players each. If the membership of each team is going to be reduced to 18 players, then how many additional teams will need to be formed to include all the remaining players?

Short Answer

Expert verified
Based on the step-by-step solution, the short answer is: To accommodate all the remaining players when teams are reduced to 18 players each, 11 additional teams need to be formed.

Step by step solution

01

Find the total number of players in the league

To find the total number of players, multiply the number of teams by the number of players per team: \(33 \times 24\)
02

Calculate the number of players in the league after membership reduction

We first find the total number of players of the league. Total number of players = Number of teams 脳 Number of players per team Total number of players = 33 脳 24 = 792
03

Calculate the number of teams needed after membership reduction

Now we need to find out how many teams are needed when the number of players per team is reduced to 18. Number of teams needed = Total number of players 梅 New number of players per team Number of teams needed = 792 梅 18 = 44
04

Calculate how many additional teams need to be formed

Lastly, subtract the original number of teams from the number of teams needed after membership reduction to find out how many additional teams need to be formed. Additional teams needed = Number of teams needed - Original number of teams Additional teams needed = 44 - 33 = 11 So, 11 additional teams need to be formed to include all the remaining players when each team has only 18 players.

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.

Division
Division is a fundamental math operation that helps in splitting quantities into equal parts. In the context of our sports league exercise, we use division to determine how many teams we need when we reduce the number of players per team. After finding the total number of players, which is 792, we need to discover how many teams are necessary if each can only have 18 players. Here, division helps us find that number by dividing the total players by the new team size:
  • Total number of players = 792
  • New team size = 18 players
Thus, the division operation becomes: \[ 792 \div 18 \]When you solve this, it tells you that 44 teams are needed. Division in this case helps manage the league's distribution of players efficiently.
Multiplication
Multiplication is another essential arithmetic operation used to calculate the overall total of items in groups. At the beginning of the problem, we used multiplication to find out how many players are currently in the league. By multiplying the number of teams by the number of players in each team, we can calculate the total.
  • Number of teams = 33
  • Players per team = 24
The multiplication operation is expressed as:\[ 33 \times 24 \]When we perform this multiplication, we find out that the league has 792 players in total. Understanding multiplication helps understand how values grow when grouped multiplicatively.
Reduction in Team Size
In sports leagues, adjusting the team size can require reorganizing players. This problem involves reducing the number of players on each team from 24 to 18.
  • Original team size = 24 players
  • Reduced team size = 18 players
When you reduce the size of teams, you'll need more teams to accommodate the same number of players. This leads to calculating how many more teams are needed, which is a pivotal part of this particular exercise. By understanding and applying the concept of reduction, the organization of resources can be optimized accordingly.
Calculating Total Players
Calculating the total number of players in a sports league is crucial for any reorganization efforts. This forms the basis of any subsequent calculations, like reducing team size or forming additional teams. Initially, the total number of players is obtained by multiplying the current number of teams by the number of players each team has:
  • Total number of players = Number of teams 脳 Number of players per team
  • \[ 792 = 33 \times 24 \]
With 792 players in the league, any adjustments in team structure must ensure that all players are accommodated. By starting with this step, students can see the importance of accurate initial data to solve further steps reliably.

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

President John Quincy Adams wrote that "the whole continent of North America appears to be destined by Divine Providence to be peopled by one nation, speaking one language, professing one general system of religious and political principles, and accustomed to one general tenor of social usages and customs. For the common happiness of them all, for their peace and prosperity, I believe it is indispensable that they should be associated in one federal Union." The idea that the United States was destined and divinely ordained by God to expand across the entire North American continent is called A. Manifest Destiny. B. capitalism. C. imperialism. D. eminent domain.

The passage below is incomplete. For each 鈥淪elect鈥� option, choose the option that correctly completes the sentence. (For this practice test, circle your selection.) To: All Personnel Billie Tanker Pipe and Supply From: Billie Tanker Date: March 18, 2013 Subject: Farewell to Ron Jensen Here at Billie Tanker Pipe and Supply, we take pride in our unparalleled customer service and the unquestionable quality of our work. Though we have expanded our operations from one small storefront to a county-wide franchise, we continue to see all our workers, from truck drivers to senior management, as members of one large family. Therefore, it is with a mixed sense of pride and sadness that I congratulate Ron Jensen on his retirement. Ron started at our company fifteen years ago and was a part of growth from making small business 鈥渉ousecalls鈥� to servicing major corporations in our city. Many customers got to know Ron by name and asked for him personally when they needed an estimate. Ron鈥檚 service record is outstanding. His work one-on-one with clients and the knowledge he鈥檚 gained from a decade and a half in the field many referrals from valued customers. While many of his peers went on to positions in management, Ron remained at the 鈥渇ront lines,鈥� where he could 鈥済et his hands dirty鈥� with the renovations and retrofits that he preferred to desk work. At his retirement to his colleague of many years, Belle Sanchez. His coworkers will then stage a humorous 鈥淭his Was Your Life鈥� retrospective, highlighting Ron鈥檚 career successes, and relating humorous anecdotes about his adventures in engineering. Ron plans to retain a consultant relationship with our company to best serve his long-time clients, providing guidance necessary to make his transition to retirement as smooth as possible for all parties. Ron will work with new technicians as they take over existing projects, to ensure our best performance. Please join me in thanking Ron for his outstanding tenure of service and commending him on a successful career. All employees are invited to Ron鈥檚 retirement party on Friday, at 7pm, in the main conference room of our downtown office location: 2121 Main Street. Come wish him a happy retirement.

The passage indicates that the volunteers followed the same diet during each two-week period of the study. Why was this important? A. Had the volunteers varied their diets throughout the study, the differences in urine production may have been attributable to differences in solid food consumption, rather than in liquid consumption. B. Had the volunteers varied their diets throughout the study, they may have craved different amounts of liquid each week. C. By eating the same foods each week, the volunteers ensured that they did not suffer from any nutritional imbalances throughout the study. D. By feeding the volunteers the same foods each week, the scientist ensured that the volunteers produced that same amount of urine as each other per day.

The Great Pyramid in Egypt has a height of approximately 150 meters and a base of 50,000 square meters. In cubic meters, what is its approximate internal volume? A. \(7,500,000\) B. \(5,000,000\) C. \(2,500,000\) D. 750,000

Scientific theory holds that convergent evolution occurs when different species independently evolve analogous structures, or features that may appear different, but perform the same function. Creatures evolve such structures in order to adapt to their environments. A scientist argues that bats and birds have analogous structures. Which of the following supports his argument? A. Bats use echolocation to track their prey, while birds rely primarily on sight. B. Unlike bird wings, bat wings are composed primarily of membrane, but both types of wings provide flight capabilities. C. Baby bats gain nourishment from their mother's milk, while baby birds eat worms and bugs brought by their mothers. D. Both bats and birds frequently make their homes in trees, bridges, and attics.
See all solutions

Recommended explanations on English Textbooks

Cues and Conventions

Read Explanation

Lexis and Semantics Summary

Read Explanation

Graphology

Read Explanation

5 Paragraph Essay

Read Explanation

English Grammar

Read Explanation

Semiotics

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.