Solving Learning Mathematics

Introduction to solving learning mathematics:

Mathematics is related to the properties, dimension, and interaction of quantities and sets, using numbers and symbols. Mathematics is used in our daily life. Mathematics includes various topics such as algebra, geometry, trigonometric, calculus, etc. Step by step clear explanation is more helpful to understand the basic concepts involved in math. Now, we are going to see some of mathematics problems learning.

Solving learning mathematics problems:


Example problem 1:

Solve for the variable r:  3r – 13 = 47 - 2r

Solution:

3r – 13 = 47 - 2r

Add 13 on both sides of the equation

3r – 13 + 13 = 47 - 2r + 13

3r = -2r + 60

Add 2r on both sides of the equation

3r+ 2r = -2r + 60 + 2r

5r = 60

Divide by 5 on both sides of the equation

`(5r) / 5 = 60 / 5`

By solving this, we get

r = 12

So, the answer is r = 12.

Example problem 2:

Marked price of a furniture is `$` 450. It is sold at a discount of 20%. Find the discount and its selling price.

Solution:

Marked price of the furniture = `$` 450

Rate of discount = 20%

Discount allowed = 20% of `$` 450=`20 / 100` × `$` 450 = `$` 90

Therefore, Selling price of the furniture = `$` 450 – `$` 90 = `$` 360.


Few more solving learning mathematics problems:


Example problem 3:

Find the Mean value for the given set of numbers: 42, 48, 43, 45.

Solution:

Mean = Sum of the values
Total number of values.

Mean   =`(42 + 48 + 43 + 45) / 4`

=`178 / 4`

= 44.5

So, the mean value is 44.5.

Example problem 4:

Find x and y intercept for the equation of line 13x +6.5y = 26.

Solution:-

Given equation is 13x + 6.5y = 26.

x intercept means plug y = 0 in the given equation

13x + 6.5(0) = 26

13x = 26

By Solving this, we get

x = 2

y intercept means plug x = 0 in the given equation

13(0) + 6.5y = 26

6.5y = 26

y =4

So, the x intercept is (2, 0) and the y intercept is (0, 4).

Understanding Piecewise Functions Practice is always challenging for me but thanks to all math help websites to help me out.

Practice problems for mathematics learning:
1) Find the value of p: 7p +17 = 66.

(Answer: p = 7).

2)  Find x intercept for the equation of line 4x + 6y = 30.

[Answer: (7.5, 0)].

3) Find the mean value for the given set of numbers: 10, 20, 30, 40.

(Answer: 25).