Site to Solve Math Equations

Introduction to site to solve math equations:

Tutor vista website is one of the online tutoring services providers; Tutorvista website provides helps in various subjects like English, math, and science. Tutorvista website tutors help regardless of place where they are located.  Student can learn and get homework from their home at any time. Tutors explain step by step so that the students can easily understand. In this article we shall discuss to solve the math equations with example problems and practice problem. Please express your views of this topic Equation of Parabola by commenting on blog.


Site to solve the math equations example problem


Example:

Total number of students in a class is 70. if the number of boys is 37, frame the equations and find the number of girls.

Solution:

Consider the number of girls be x.

The number of boys is 37.

The total number of student is 70.

Therefore simple equation is x+37=70

x =70-37

x = 33 girls in a class.

Example:

Solve the equations 5x-6=3x+2

Solution:

5x-6=3x+2

5x=3x+2+6

5x-3x=8

2x=8

x=`8/2`

Therefore x=4

Example:

Solve the equations for x.

3(4x - 2) + 3x = 3(5x + 1)

Solution:

Multiply the factor value 3 with (4x-2) and 3 with (5x + 1)

12x - 6 + 3x = 15x + 3

Both side subtract 3x on the equation

12x - 6 +3x-3x = 15x -3x + 3

12x - 6 = 15x + 3

Both side subtract 15x on the equation

12x-15x-6 = 15x-15x+3

-3x-6 = 3

-3x = 3+6

-3x = 9

Solve the x value

x =`9/-3`

x = -3

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Site to solve the math equations practice problem

Problem:

Total number of students in a class is 60. if the number of boys is 35, frame the equation and find the number of girls.

Answer:

The number of girls 25

Problem:

Solve the equation 2x-3=15

Answer:

x=9

Problem:

Solve the equation for x.

3(3x - 1) + 2x = 2(6x + 2)

Answer:

Therefore x = -7

Business Math Equations

Introduction to business math equations:

Business mathematics is mathematics used by commercial enterprises to record and manage business operations. Commercial organizations use mathematics in accounting, inventory management, marketing, sales forecasting, and financial analysis. Mathematics typically used in commerce includes elementary arithmetic, elementary algebra, statistics and probability.(source : wikipedia)

In this article we are going to see some solved equations on business math and some practice questions on business math equations. Please express your views of this topic Compound Interest Equation by commenting on blog.


Solved questions on business math equations:


Question 1:

Total costs c(x) for producing one product is 1600 +1500x, and the entire profits can be represent by R(x) = 1600x - x2, what is the break even point and the maximum profit.

Solution:

Given, Total cost C(x) = 1600 + 1500x

Profit R(x) = 1600x - x2

At the break even points,

C(x) = R(x)

1600 + 1500x = 1600x - x2

x2 - 100x + 1600 = 0

It is in the quadratic equations form.

1600 (product)

/  \

-80   -20

\ /

-100 (sum)

x2- 100x + 1600 = 0

x2 - 80x -20x + 1600 = 0

x (x-80) - 20 (x - 80)=0

(x - 20)(x - 80) = 0

(x - 20) = 0

Add 20 on both sides, We get

x = 20

(x - 80) = 0,

Add 80 on both sides, We get

x = 80

x = 20, x = 80

Substitute x= 20 in c(x),

C (20) = 1600 + 1500 20 = 31600

Substitute x= 80 in c(x),

C (80) = 1600 + 1500 80 = 121600

The breakeven points are (20, 31600), (80, 121600)

The maximum profit R(80) = 1600(80) – (80)2

=   128000 – 6400

= 121600

The maximum profit is 121600.

Answer: The break even points are (20, 31600), (80, 121600)

The maximum profit is 121600.

Question 2:



John pays 125 dollar for his new dress includes the tax 10% . What is the original price of the new dress without tax?

Solution:

Given, Price of new dress with tax 10% is 125 dollar.

We need to find the original price.

Let us take the original price is x. We can form the equation as,

x + 10% x =125

x + 10x/100 = 125

x + x / 10 = 125

(10 x + x) / 10 = 125

Multiply by 10 on both sides,

11x = 1250

Divided by 11 on both sides,

x = (1250)/11

x = 113.63

Answer: The original price 113.63

Between, if you have problem on these topics Solving Absolute Value Equations, please browse expert math related websites for more help on Area of a Circle Equation .

Practice questions on business math equations:


Problems :

1. The price of   fish tank is 55 dollar includes the tax 10% . What is the original price of the fish tank without tax?

2.A total cost of the product is 500 + 90x and total profit for that product is 150x – x².  What is the break even point of the product

Answer:

1. 50

2.(50, 5000), (10, 1400)