Answer Math Riddle

Introduction to answer math riddle:
In this section we will study about answer math riddle. Riddles are nothing but a puzzle which helps students to understand the mathematical subject in quick and easy manner. Riddles are basically in the form of word problems. Below we will solve word problems or puzzles. Let us solve the answer math riddle.

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Example problems for answer math riddle:


Example problem 1:

Megan has 4 vases of flowers. Some of the vases contain 9 red roses. The other vases contain 8 pink tulips. There are 34 flowers in the vases in total. How many vases of each type of flower does Megan have?

Solution:

Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 4.

Guess 1: 3 vases of red roses and 1 vase of pink tulips

Find the number of vases: 3 + 1 = 4

Find the total number of flowers: (9 × 3) + (8 × 1) = 27 + 8 = 35

The guess is incorrect.

Guess 2: 1 vase of red roses and 3 vases of pink tulips

Find the number of vases: 1 + 3 = 4

Find the total number of flowers: (9 × 1) + (8 × 3) = 9 + 24 = 33

The guess is incorrect.

Guess 3: 2 vases of red roses and 2 vases of pink tulips

Find the number of vases: 2 + 2 = 4

Find the total number of flowers: (9 × 2) + (8 × 2) = 18 + 16 = 34

The guess is correct. Megan has 2 vases of red roses and 2 vases of pink tulips.

Answer: Megan has 2 vases of red roses and 2 vases of pink tulips.

Example problem: 2

How many balls can you put in an empty bag?

Solution:

We can put only one ball because after putting one ball the bag is not empty.

Answer: One ball


Practice problems for answer math riddle:


Practice problem 1:

Jake scored more points than Destiny. Jake did not score more points than Charlie. Who scored the fewest points?

Answer: Destiny scored the fewest points.

Practice problem 2:

The bicycle warehouse has 235 adult bicycles and 575 children's bicycles. About how many bicycles are there in all?

Answer: 810 bicycles

Functions for Math

Introduction to functions for math
The mathematical concept of a function expresses the intuitive idea that one quantity completely determines another quantity (the value, or the output). A function assigns a unique value to each input of a specified type. The argument and the value may be real numbers, but they can also be elements from any given sets: the domain and the codomain of the function (Source: Wikipedia)

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Functions for math


An illustration of a function through the real numbers since equally its domain also the codomain is the function f(x) = 4x.

This gives to all real number the real number that is to say twice as big.

In this example, we be able to inscribe f(6) = 24.

The domain of the function is the set of every acceptable input to a specified function.

The image or else range of the function is the set of every resultant outputs.

The representation is frequently a subset of various larger set, called the codomain of a function. consequently such as, the function f(x) = x2 might obtain since its domain the set of every real numbers as its representation the set of every non-negative real numbers, as well as its codomain the set of every real numbers.

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Examples for functions math


Example 1

If f (2, 7) = 57 and f(1, 6) = 37, what is the value of (4, 10)?

Solution

The function f (a, b) = a^3 + b^2

f (2, 7) t is = 2^3 + 7^2 = 8 + 49 = 57
f (1, 6) = 1^3 + 6^2 = 1 + 36 = 37.

Therefore, f (4, 10) = 4^3 + 10^2 = 64 + 100 = 164.

The value of (4, 10) = 164

Example 2

Suppose the given function f(x) is 6x+7. Finding the value of f (3) and f(7)?

Solution

Given function f(x) = 6x+7

Find the value of f (3)

Substitute the value x for 3, then

f (3) = 6x3+7

=18+7

f (3) = 25

Find the value of f (7)

Substitute the value x for 7, then

f (7) = 6x7+7

=42+7

f (7) = 49

What is a Monomial in Math

Introduction of what is a monomial in math:

Polynomial:

Polynomial is an expression represented by constant numbers and variables.These expression may be contains terms from one to many.

Classification of polynomial:

Monomials
Binomials
Trinomials
In this chapter we will discuss about what is a monomial.

Monomials: In mathematics, an equation has a term alone is considered as a monomial. On the other hand we can say that an algebraic expression having a sole term is considered as monomial in maths.

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what is a monomial in math


What is monomial in math:

A monomial algebraic expression may have a single constant or the constant is join with the variable having powers. For example, the constant 90 alone is monomial. If it is joined with v2, then 90v2 is also monomial.

Operation performed in monomial:

Multiplication
Division
Multiplication:

Step 1: First multiply the constants.
Step 2: Now multiply the variables by adding the powers. This process is valid only for same variables.
Division:

Step 1: The constant are divided separately.
Step 2: The variables are divided by subtracting the powers of variables.

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Example problems for monomial in math:


Example: 1

What is the monomial term in the following choices?

a. 5698

b. 588+o

c. vy+123

d. 34-9

Solution:

The second answer contains a + sigh with two terms, third answer also contains + sign with two terms and the third answer contains fraction part as its power, so these all are not monomial. The first answer contains a single term of constant, so the answer is first choice.

Ans: 5698

Example: 2

What is the answer for the following monomial term?

Multiply: (15x) with (12x)

Solution:

Given, (15x)`xx` (12x)

Step 1: 15 `xx` 12=180

Step 2: x `xx` x=x(1+1)=x ^2

Step 3: The answer is 180x ^2

Example: 3

What is the answer for the following monomial term?

Divide: 90z6 `-:` 5z^2

Solution:

Given, 90z6 `-:` 5z^2

Step 1: Divide a constant terms. `90/5`=18

Step 2: Divide the variable terms. z6 `-:` z^2=`z^6/z^2` =z(6-2)=z4.

Step 3: The answer is 18z4.

Free Help Fourth Grade Math

Introduction to free help fourth grade math:

Study of basic math operations and math functions is called mathematics. Free help fourth grade math is used to learn some basic math operation. In mathematics, basic concept is arithmetic operations.

The basic arithmetic operations of mathematics are addition, subtraction, division, multiplication and placing values. The free help fourth grade math is deals with basic algebra, in the free help fourth grade math is involves a basic math operation only.  In this article we are discussing free help fourth grade math.

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Examples problem for free help fourth grade math:


Basic addition problems for free help fourth grade math:

1. Find the add value of the given numbers, using addition operation, 20 + 40 + 40

Solution:

Given numbers using addition operation for, 20 + 40 + 40

First step, we are going to add the first two numbers,

20 + 40 = 60

Then add third number with first two numbers of sum values,

60 + 40 = 100

Finally we get the answer for given numbers are 100.

2. Find the add value of the given numbers, using addition operation, 36 + 28 + 36

Solution:

Given numbers using addition operation for, 36 + 28 + 36

First step, we are going to add the first two numbers,

36 + 28 = 64

Then add third number with first two numbers of sum values,

64 + 36 = 100

Finally we get the answer for given numbers are 100.


Basic subtraction problems for free help fourth grade math:


3. Find the subtract value of the given numbers, using subtraction operation, 10 - 30 - 5

Solution:

Given numbers using subtraction operation for, 10 - 30 - 5

First step, we are going to add the first two numbers,

10 - 30 = -20

Then subtract third number with first two numbers of subtracted values,

-20 - 5 = -15

Finally we get the answer for given numbers are -15.

4. Find the subtract value of the given numbers, using subtraction operation, 6 - 12 - 6

Solution:

Given numbers using subtraction operation for, 6 - 12 - 6

First step, we are going to add the first two numbers,

6 - 12 = -6

Then subtract third number with first two numbers of subtracted values,

-6 - 6 = -12

Finally we get the answer for given numbers are -12.

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Basic multiplication problems for free help fourth grade math:


5. Find the multiply value of the given numbers, using multiplication operation, 7 * 3 * 3.

Solution:

Given numbers using multiplication operation for, 7 * 3 * 3

First step, we are going to multiply the first two numbers,

7 * 3 = 21

Then multiply the third number with first two numbers of multiplied values,

21 * 3 = 63

Finally we get the answer for given numbers are 63.

6. Find the multiply value of the given numbers, using multiplication operation, 2 * 4 * 6

Solution:

Given numbers using multiplication operation for, 2 * 4 * 6

First step, we are going to multiply the first two numbers,

2 * 4 = 8

Then multiply the third number with first two numbers of multiplied values,

8 * 6 = 48

Finally we get the answer for given numbers are 48.

Elementary Math Factorize

Introduction:

Factorization is one of the basic topics in mathematics. Factorization helps to find the factors for the given equation. Generally factorization is done in algebra equations. It is applicable only with constants and numbers. Factors generally defined as extracting numbers from the given terms. It is also defined as expressing the given numbers as a product of its factors.  Elementary math factorize involves basic factorization problems. Elementary math factorization problems are easy to solve. Elementary math factorize also involves some simple algebra problems. In this article, we are going to see about elementary math factorize.

Elementary math factorize:


Elementary math factorize example 1:

Find the factors for the given number, 24

Solution:

The factors for the given numbers are

24 = 2, 3, 4, 6, 8, 12, 24

These numbers are multiples of 24 hence these are the factors of 24.



Elementary math factorize example 2:

Find the factors for the given number, 32

Solution:

The factors for the given numbers are

32 = 2, 4, 8, 16, 32

These numbers are multiples of 32 hence these are the factors of 32.



Elementary math factorize example 3:

Find the factors for the given number, 52

Solution:

The factors for the given numbers are

52 = 2, 13, 26, 52

These numbers are multiples of 52 hence these are the factors of 52.



Elementary math factorize example 4:

Find the factors for the given number, 45

Solution:

The factors for the given numbers are

45 = 3, 5, 9, 15, 45

These numbers are multiples of 45 hence these are the factors of 45.

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Algebra math factorize:


Algebra math factorize example:

Factorize, x^2 + 5x + 6 = 0

Solution:

We need to factorize the given equation,

x^2 + 5x + 6 = 0

x^2 + 3x + 2x + 6 = 0

(x^2 + 3x) + (2x + 6) = 0

x(x + 3) + 2(x + 3) = 0

(x + 2) (x + 3) = 0

x + 2 = 0

Subtract 2 on both sides,

x + 2 – 2 = 0 – 2

x = -2.

x + 3 = 0

Subtract 3 on both sides,

x + 3 – 3 = 0 – 3

x = - 3

The factors are -2,-3.

Math Financial Equations

Introduction:

Most of the mathematical financial equations have been derived from the fundamental finance formulas which have been related to the time value of money. Some of the specific formulas that are in correspondence with the financial equations are derived using the derivatives of the fundamental formulas. Some of the mathematical finance equations include statistics, randomness and probability.

The mathematical finance equations are used to calculate and derive the answers for more complicated finance problems.


Symbols used in math finance equations:


There are various symbols that are used in the math finance equations which are listed below,
PMT represents the periodic payment
T indicates the terminal period or the last period
CF represents the flow of cash
FV indicates the future value
PV indicates the present value
rN indicates the nominal interest rate
rE represents the Effective interest rate where r = interest rate
m indicates the compounding frequency
B is used to indicate the balance
N represents the number of periods
G is to represent the rate of growth

Some basic math finance equations:


There are some of the fundamental formulas which are used to calculate the math financial equations.

The math financial equation used to calculate the number of payments is given by

N = - log (1-rFV / PMT)
log (1+r)

The equation to convert the interest rate compounding bases are given by

r2 = [(1+ (r1 / n2))n1/n2-1]n2

Here r1 indicates the original rate of interest with the compounding frequency n1, and r2 represents the stated interest rate with the compounding frequency n2.

The math financial equation which is used to calculate the future value of a single sum is given by

FV = PV (1+r) n

To calculate the future value with compounding the finance math equation is given by

FV = PV(1+(r/m))n-m

The equation used to calculate the future value of a cash flow series is given by

FV =`sum_(j-1)^n` CFj(1+r)j

The expanded net present value formula using the math financial equation is given by

NPV = `sum_(T=0)^T` CFT/ (1+r)T = CF0 + CF1/ (1+r)1 + CF2 / (1+r)2 + ... + CFT / (1+r)T

The present value of a single sum is calculated using the equation

PV = FV / (1+r) n

Thus the math financial equation which is used to calculate the present value with compounding is given by

PV = FV / (1+(r/m)) n-m

Math Measurement CM

Introduction of math measurement cm:

In mathematics, measurement is a main part. Similar to inches, centimeters, kilometers, meters, feet, yards and millimeter. This is also the basic concepts in math .Here we are going to see some example problems of measurement cm. Some times the number is also represent some standard measurement, such as meter, kilogram in math.

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Example problems of measurement cm in math:


Measurement of inches to centimeters:

1 inches = 2.54 centimeters

Example 1:

Convert 13 inches to centimeters.

Solution:

Step 1: We know that 1 inches = 2.54 centimeters.

Step 2: We need find 12 inches to centimeters.

Step 3: Multiply 12 with 2.54 = 30.48

Step 4: Therefore, 12 inches = 33.02 centimeters.



Measurement of millimeter to centimeter:

1 millimeter = 0.1 centimeters

Example 2:

Convert 45 millimeters to centimeter.

Solution:

Step 1: We know that 1 millimeter = 0.1 centimeter.

Step 2: We need find 45 millimeter to centimeter.

Step 3: Multiply 0.1 with 45 = 4.5

Step 4: Therefore, 45 millimeters = 4.5 centimeter.

Measurement of feet to centimeter:

1 feet = 30.48 centimeters.

Example 3:

Convert 12 feet into centimeters.

Solution:

Step 1: We know that 1 feet = 30.48 centimeters.

Step 2: We need find 12 feet in to centimeters.

Step 3: Multiply 12 with 30.48 = 365.76

Step 4: Therefore, 12 feet = 365.76 centimeters.


More about cm measurement in math


Measurement of yards to centimeters:

1 yards = 91.44 centimeters.

Example 4:

Convert 5 yards into centimeters.

Solution:

Step 1: We know that 1yard = 91.44 centimeters.

Step 2: We need find 5 yards into centimeters.

Step 3: Multiply 91.44 with 5 = 457.2

Step 4: Therefore,  5 yards = 457.2 centimeters.



Measurement of miles to centimeters:

1 miles = 1,60,934.4 centimeter

Example 5:

Convert 2 miles into centimeter.

Solution:

Step 1: We know that 1 miles = 1,60,934.4 centimeter.

Step 2: We need find 2 miles into centimeters.

Step 3: Multiply 2 with 1,60,934.4  = 321868.8

Step 4: Therefore, 2 miles = 321868.8 centimeters.



Measurement of meter to centimeters:

1 meter = 100 centimeters.

Example 5:

Convert 27 meter to centimeters

Solution:

Step 1: We know that 1 meter =100 centimeters.

Step 2: We need find 27 meter in to centimeters.

Step 3: Multiply 100 with 27 = 2700

Step 4: Therefore, 27 meter = 2700 centimeters.

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Measurement of kilometer to centimeters:

1 kilometer = 1,00,000 centimeters.

Example 6:

Convert 2 kilometer to centimeters

Solution:

Step 1: We know that 1 kilometer =1,00,000 centimeters.

Step 2: We need find 2 kilometer in to centimeters.

Step 3: Multiply 1,00,000 with 2 = 2,00,000

Step 4: Therefore, 2 kilometer = 2,00,000 centimeters.

These are the examples of measurement cm in math .