Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Alphonse took four examinations and his average on these four exams was 83. If his grades on the first three exams were 82,88 and $78,$ what grade did he get on the fourth exam?

$$84$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

Campbell University

Oregon State University

University of Michigan - Ann Arbor

Lectures

01:46

On four exams,Wallace'…

02:45

The average of your first …

01:59

01:29

Averaging Grades. A studen…

01:44

The average, or mean, $A$,…

Okay, so we have the falling information. We know that Alphonse took for exams, and his average between the for example was 83 Alexander for the first three, the score for the first three examples 80 to 88 78. So we have to find what is the fourth exam? Yeah, And what we're gonna use is just that we're gonna the first figure out how to even get the average. We know that the average people could have some of the extents. I'm a pigs, and and this is going to be divided by the number off exams. This is the average. So we're gonna have our average is 83 equal to the sum off all the exams? Um, it could be 82 88. Uh huh. 78. Awesome. A, which is our fourth exam divided by the number of Ex Sense, which is just fourth. So this right here is simply a linear equation, and it's a leading question because it is raised to the power of one. So you can use the fact that addition and subtraction well into each other. Multiplication and division will also again under each other and That's how we're going to solve this linear equation. So we're gonna have to simplify, rearrange and isolate like we have done previously, so so that we can get a by itself. That's gonna be the first exam score. So the first thing we could do a simplified can add all of these numbers up. So let's see if that's gonna be it brings. It's equal to the sum off all of those values. 82 38 for 78. That's 248 closely. It's divided by four. So now we're gonna have to rearrange this equation. We're gonna have to multiply both sides of the equation by four to remove this, um, 1/4 figure. Now I'm multiplied by for both sides of the equation, so just make it a little bit more clear. Okay? Yeah. So now we have 83 times four, which is 332 yes. People, too. 248. That's a and the 1/4 times four cancels out. So it's just one. So now we're left with 3. 32 equals 2. 48 plus e. Now we're going to subtract 2 40 to 48 from both sides in order to isolate our A value. No, simply We just take 3. 32 minus 2. 48 and we're left with 84. 84 equals eight. So our fourth exam has every has a score of 84 and this is our final answer.

View More Answers From This Book

Find Another Textbook

Numerade Educator

00:32

Find the unknown.$$x^{2}-4=21$$

01:11

Rewrite the equation in the form $a x^{2}+b x+c=0,$ with $a > 0,$ and the…

03:41

In each of the following exercises, solve the given inequality.$$x(x-2)(…

01:54

Find the unknown.$$(4 x-7)^{2}=18$$

01:58

Find the unknown.$$(6 y-2)^{2}+9=41$$

01:18

Determine if the given set is a function.$f=\{(1,3),(2,5),(12,23),(-1,9)…

05:07

Solve for the unknown, and then check your solution.$$0.2 x-0.3(5-2 x)=0…

01:57

Complete the square in each of the following by putting in the form $(x+B)^{…

01:14

01:30

Find the unknown.$$(x-4)^{2}+3=39$$