Please solve this ASAP!!!

Determine whether each sum, difference, product,

PIT_PIT [208]

Answer:

28. The difference represents an irrational number

29. The difference represents a rational number

30. The quotient represents a rational number

31. The quotient represents an irrational number

Step-by-step explanation:

* Lets explain how to solve the problem

- The rational number is any numbers can be put in the form of a/b,

where a and b are integers b ≠ 0

- Ex: 1 , 2/3 , 5/4 , 22/7 , 100 , ................

- The irrational number is any number that is not rational

- It is a number that cannot be written as a ratio of two integers

or cannot be expressed as a fraction

- Ex: √2 , √7 , π , ..... (π is irrational because it's approximated value)

- If the part of the the number is irrational, then the number

is irrational

- Ex: (5 + √3) , (√7 + 5) , 2√5 , √11/4 , 5/√13

* Lets solve the problems

28. $\frac{6}{23}-\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The difference represents an irrational number

29. $\frac{6}{23}-\frac{15}{127}$

∵ The two terms are rational numbers

∴ The difference represents a rational number

30. $\frac{6}{23}$ ÷ $\frac{15}{127}$

∵ The two terms are rational numbers

∴ The quotient represents a rational number

31. $\frac{6}{23}$ ÷ $\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The quotient represents an irrational number

7 0

4 years ago

How many sequences of length 5 can be made when each component of the sequence can take 3 different values?

kozerog [31]

Each position in the sequence has 3 choices, and there are 5 positions, so we multiply 3 by itself 5 times:

$3^5=243$

4 0

4 years ago

Lydia wrote 4 1/2 pages of her science report in one hour. what was her writing rate in pages per minute?

Firdavs [7]

To solve this question, I first converted one hour into minutes. (60 minutes)

Then I divided 4 1/2 into 60. As a decimal, the answer if 0.075. If you convert that into a lowest terms fraction, you get 3/40.

7 0

3 years ago

Solve this equation <br><br> 7b-6(11-2b)=10

Mkey [24]

7b-6(11-2b)=10
The first step is to distribute. Multiply each number inside the parentheses by -6.
7b + (-6*11) + (-6*-2b) = 10
7b - 66 + 12b = 10

Now combine like terms.
19b - 66 = 10

Add 66 to both sides.
19b = 76

Divide both sides by 19.
b = 4

The answer is b = 4.

6 0

4 years ago

Which expression is equivalent to x^6-9

svlad2 [7]

Answer: (x^3)^2 - 3^2

Step-by-step explanation:

6 0

3 years ago