word problem on one variable equations

A variable is a symbol that stands for a value that may vary; the term usually occurs in opposition to constant, which is a symbol for a non-varying value, i.e. completely fixed or fixed in the context of use. The concepts of constants and variables are fundamental to all modern mathematics, science, engineering, and computer programming.Varying, in the context of mathematical variables, does not mean change, but rather, dependence on the values of other variables in the expression in which the variable occurs, or dependence of the value of the expression on that of the variable. However, in some languages other than English, one distinguishes between "variables" in functions and "unknown quantities" in equations ,same way we also can go for linear equations in two variables
Question:-

You are serving 3 different entrees at a party.If 100 are having beef ,175 are having pasta,and 45% are having chicken then how many guests are expected at the party?

Answer:-

let's look at answers to algebra equations with variable terms on both sides

Let the total number of guests be 'x'

add all the given data

x = 100+175+(45% of x)

x = 100+175+(45x/100)

x - (45x/100) = 100+175

55x/100 = 275

by using cross product ,we get

x=500

So total 500 members are expected in the party

we can solve more word problems from free exam papers

simple probability problem on colors

Probability, or chance, is a way of expressing knowledge or belief that an event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory, that is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems.

The scientific study of probability is a modern development. Gambling shows that there has been an interest in quantifying the ideas of probability for millennia, but exact mathematical descriptions of use in those problems only arose much later.

Here is a simple probability problems from 4th grade math algebra word problems with solution


Example :-

We have find the following probabilities of
different colors in this picture.

P(red)=1/3

p(green)=4/9

p(white)=0

p(green or yellow)=2/3

p(not yellow)=7/9

p(blue)=0

a probability of an event A is represented by a real number in the range from 0 to 1 and written as P(A), p(A) or Pr(A)^[6]. An impossible event has a probability formula of 0, and a certain event has a probability of 1. However, the converses are not always true: probability 0 events are not always impossible, nor probability 1 events certain. The rather subtle distinction between "certain" and "probability 1" is treated at greater length in the article on "almost surely

Algebric Problem on Numbers

Topic:Number Problem

In mathematics, an algebraic number is a complex number that is a root of a non-zero polynomial in one variable with rational (or equivalently, integer) coefficients. Numbers such as π that are not algebraic are said to be transcendental, and are infinitely more numerous within the complex number field.
Let's see algebra calculator online variables on following definition and problem
The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory. or numeric and algebraic operations

Question:

Solve the problem given below:

9 + (9 - 8 + 3)⁴

Answer:


For similar problems on this free math answers will guide you

How to solve a probability problem

Probability is a way of expressing knowledge or belief that an event will occur or has occurred. In simple terms it refers to a chance. In mathematics we can see the concept has a given exact meaning in probability theory, that is used extensively in such areas of study as mathematics, science, statistic, science, and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems.

Here is a simple example for you:

Question:

Assume that your friend, Omar, had two job interviews, and now estimates he has
a 40% chance of getting the first job, and also a 40% chance of getting each job.
What are his chances of getting at least one job offer?
What are his chances of getting neither job?
What are his chances of getting offered both jobs?

Answer:

Chances of getting each job = 40% = .4

So chances of not getting the jobs = 1- .4 = 6


Now chances of getting at least one job includes the

chances of getting any one job and chances of getting both.


Chances of getting any one job = 2x(.4x .6) = .48

Chances of getting both = .4x .4x = .16

So required probability = .48 + .16 = .64 or 64%

Now chances of getting neither job = 1 -chances of getting at least one job

                              = 1 - .64 = .36 or 36%

Chances of getting both jobs offered = .4 * .4 = .16 or 16%