/*! 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} Q15. What is the greatest of five con... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q15. (page 151)

What is the greatest of five consecutive integers if the sum of these integers equals 135?

Short Answer

Expert verified

The greatest of five consecutive integers, if the sum of these integers equals 135 is 29.

Step by step solution

01

– Consecutive integers

The integers that follow each other are called the consecutive integers.

That is if x is an integer, then x+1andx+2are consecutive integers.

02

– Find an equation that is used to find the greatest of five consecutive integers.

Let x be an integer.

Then the five consecutive integers will be x,x+1,x+2,x+3,and x+4.

The sum of these five consecutive integers is 135.

This can be mathematically written as follows:

x+x+1+x+2+x+3+x+4=1355x+10=135

03

– Find value of x.

Solve 5x+10=135:

5x+10=1355x=125鈥勨赌勨赌勨赌凷耻产迟谤补肠迟10蹿谤辞尘产辞迟丑蝉颈诲别蝉x=25鈥勨赌勨赌勨赌刣颈惫颈诲别产辞迟丑蝉颈诲别蝉产测5

04

– Find all the 5 consecutive integers.

x=25x+1=25+1=26x+2=25+2=27

x+3=25+3=28x+4=25+4=29

So, the 5 consecutive integers are 25, 26, 27, 28, and 29.

Hence, the greatest of five consecutive integers, if the sum of these integers equals 135 is 29.

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

Stamps Paula bought $22.82 worth of 49-cent

stamps and 21-cent stamps. The number of 21-cent

stamps was eight less than the number of

49-cent stamps. Solve the equation

0.49s + 0.21(s 鈭� 8) = 22.82 for s, to find the number

of 49-cent stamps Paula bought.

Solve each system of equations by graphing.

3x鈭�7y=鈭�6x+2y=11

Four lines on a plane intersect in one point, forming 8 equal angles that are non-overlapping. What is the measure, in degrees, of one of these angles ?

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function.

x鈮�-101鈮�y鈮�-63x+4y鈮�-82y鈮�x-10f(x,y)=2x+y

The sum of 3 numbers is 12. The first number is twice the sum of the second and third. The third number is 5 less than the first. Find the numbers.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Geometry

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.