Is the following number rational or irrational?
6 1/2

Answers

Answer 1

Answer:

yes it  is a rational number

Step-by-step explanation:

if we convert the mixed fraction into an improper fraction, we will get:

6 1/2  = 13/2

Recall that the definition of an Rational number is that it can be expressed as a division of two integers.

in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)

hence according to our definition it is a rational number

Answer 2

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

What is a rational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The mixed fraction number is given below.

⇒ 6  1/2

Convert the mixed fraction number into the fraction number. Then we have

⇒ 6  1/2

⇒ 6 + 1/2

⇒ (12 + 1)/2

⇒ 13/2

Convert the fraction number into a decimal number. Then we have

⇒ 13/2

⇒ 6.5

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

More about the rational number link is given below.

https://brainly.com/question/9466779

#SPJ2


Related Questions

Would 3.24 be an integer?

Answers

That’s a irrational number

What is the value of -3/4 ÷ (-3 1/4)

Answers

Nothing because itz nothing

Answer:

1

Step-by-step explanation:

-3/4 \  - 3 1\4  = 1

please I really need help if you help me I'll give you brainliest.​

Answers

Answer: The length of a side of the square is given by x

The length of a side of the equilateral triangle is given by x=1

Given is : The perimeter of a square is equal to the perimeter of an equilateral triangle.

Perimeter of square is given as 4 x side.

Perimeter of equilateral triangle is given as 3 x side.

So, we will make both equal.

As x = 1 for triangle, the equation becomes:

4x=3

so x=3/4

Step-by-step explanation:

Help, please, I’m so confused

Answers

Answer:

Uhhh just do all the process corectly :)

Answer:

See Explanation

Step-by-step explanation:

While multiplying exponents with the same bases, we add the exponents.

Formula:

[tex] \huge \red{ \boxed{\bigg( {a}^{m} \bigg). \bigg( {a}^{n} \bigg) = {a}^{m + n} }} \\[/tex]

SOLUTION:

[tex] \huge \bigg( {7}^{ \frac{3}{4} } \bigg). \bigg( {7}^{ \frac{3}{4} } \bigg) \\ \huge = {7}^{ \frac{3}{4} + \frac{3}{4} } \\ \huge = {7}^{ \frac{6}{4} } \\ \huge = {7}^{ \frac{3}{2} } \\ \huge = \sqrt{ {7}^{3} } \\ \huge = 7 \sqrt{7} [/tex]

What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve. x = ±2 and x = ±3 x = ±2i and x = ±3 x = ±2 and x = ±3i x = ±2i and x = ±3i

Answers

Answer:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^4-5x^2-36=0[/tex]

Let's let u equal x² so:

[tex]u^2-5u-36=0[/tex]

Factor. We can use -9 and 4. So:

[tex]u^2+4u-9u-36=0[/tex]

From the first two terms, factor out a u.

From the last two terms, factor out a -9. So:

[tex]u(u+4)-9(u+4)=0[/tex]

Grouping:

[tex](u-9)(u+4)=0[/tex]

Zero Product Property:

[tex]u-9=0 \text{ or } u+4=0[/tex]

On the left, add 9. On the right, subtract 4:

[tex]u=9\text{ or } u=-4[/tex]

Substitute back u:

[tex]x^2=9\text{ or } x^2=-4[/tex]

Take the square root:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

And we're done!

Our answer is the Second option.

Answer:

B). x = ±2i and x = ±3

Step-by-step explanation:

Find the mean of 9, 1, 8, 3, 2, 1 graphically.

Answers

The answer is 4

Explanation: I just took a test

Answer: 4

Step-by-step explanation:

Mean means to add up the values and divide it by the number of values there is so 9 + 1 + 8 + 3 + 2 + 1 = 24, then 24 / 6 is 4.

I need help with finding m & I’m pretty sure exercise 6 is # 6 help please

Answers

[tex]\text{Hello!}[/tex]

=+=+=+=+=+=+=+=+=+=+=

[tex]\text{Formula: } \boxed{5/4n - 7 = m}[/tex]

[tex]\text{ When n = 40, } \boxed{m = 43}[/tex]

[tex]\text{ Isolate for m:}[/tex]

[tex]\text{Begin by dividing both sides by 4/5 (multiply by reciprocal):}[/tex]

[tex]n = 4/5(m + 7 ) \text{ becomes } 5/4n = m + 7[/tex]

[tex]\text{Subtract 7 from both sides to isolate "m"}[/tex]

[tex]5/4n - 7 = m[/tex]

[tex]\text{Substitute n = 40 into the equation to solve for "m":}[/tex]

[tex]5/4(40) - 7 = m\\\\50 - 7 = m\\\\m = 43[/tex]

445,473 divided by 316 = ?

Answers

Answer:

1409.724683544

Step-by-step explanation:

You could have just used a calculator lol

PLEASE HELP
Point A is at (1,5) and point C is at (-5, – 7).
Find the coordinates of point B on AC such that AC is 6 times as long as AB.

Answers

Answer:

(0,3)

Step-by-step explanation:

This is a problem from affine geometry, so doesn’t need any concept of distance that mixes x and y coordinates. We can just take each coordinate separately.

(1,5),(−5,−7),(,),=6

Usually in these sorts of problems with unknown B we’re given the ratio AB:BC; here we have the slightly unusual and easier AB:AC.

The difference of the given points  −=(6,12) .

Since  =6  we know  −=16(−)=(1,2)

So  =−(1,2)=(1,5)−(1,2)

=(0,3)

20 points
NEED HELP PLEASEEEE

Answers

Answer:

The anwser is option 2

Step-by-step explanation:

-7/12 is the answer.

Find the coordinates of the image after the given transformation.
translation: 6 units right and 3 units down
51-3, 3). C-1, 4), 14-2, -1)

help me pls

Answers

Please help me go the dilllehxh djdjdj urn f
It would help if you could post a picture of the image !

Choose the correct expression for: 10 decreased by 3x A. 10 + 3x B. 10 - 3x C. 3.x (10) D 10/3x E. 3x - 10​

Answers

Answer:

B. 10 - 3x

Step-by-step explanation:

Answer:

It is B

Step-by-step explanation:

Because if u read out the answers it would be 10 minus 3x

Find the slope of the line through (2, -3) and (-4, 3).

Answers

Answer: slope m=-1

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{Slope = - 1}}}}}[/tex]

Step-by-step explanation:

[tex] \tt{Let \: the \: points \: be \: A \: and \: B}[/tex]

[tex] \tt{Let \: A ( 2 , -3 ) \: be \: ( x1 , y1 ) \: and \: B ( -4 , 3 ) \: be \: ( x2 , y2)}[/tex]

[tex] \underline{ \tt{Finding \: the \: slope \: of \: the \: line}}[/tex]

[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \longmapsto{ \sf{Slope = \frac{3 -( - 3)}{ - 4 - 2} }}[/tex]

[tex] \longmapsto{ \sf{Slope = \frac{3 + 3}{ - 4 - 2}}} [/tex]

[tex] \longmapsto{ \sf{Slope = \frac{6}{ -6}}} [/tex]

[tex] \longmapsto{ \boxed{ \sf{Slope = - 1}}}[/tex]

[tex] \tt{Hope \: I \: helped ! } [/tex]

[tex] \sf{Best \: regards !!}[/tex]

~TheAnimeGirl

Which is the correct answer to this equation?

Answers

Answer:

3/8

Step-by-step explanation:

3/5 × 5/8

Multiply the numerators and denominators respectively

15/40

Simplify

3/8

The sum of three consecutive numbers is 198. Find the numbers.
(Show Your Work)

Answers

Answer:
first number = x
second number = x + 1
third number = x + 2

x + x + 1 + x + 2 = 198
3x + 3 = 198
3x = 195
x = 65

the numbers are 65, 66, and 67

A person is trying to quit chewing gum. They decide they will have 64 pieces in week 1, but each week have half as many as the week before. The function f represents the number of pieces of gum they will have in week n. What is a reasonable domain for this function? Explain your reasoning.

Answers

Function is missing.

It is;

f(n) = ½⋅f(n − 1) for n ≥ 2

Answer:

Domain for this function is;

n ≥ 1

Step-by-step explanation:

We are told They decide they will have 64 pieces in week 1,

Thus;

f(1) = 64

From the function given;

f(n) = ½⋅f(n − 1)

So;

f(2) = ½•f(2 - 1)

f(2) = ½•f(1)

f(2) = ½ • 64

f(2) = 32

Also;

f(3) = ½•f(3 - 1)

f(3) = ½•f(2)

f(3) = ½ × 32 = 16

Looking at the steps, they follow a general pattern of;

f(n) = 64•½^(n - 1) for n ≥ 1

Thus, the domain for the function for n weeks after the first one is n ≥ 1

547 and 14 and 7658 - 7000 = 658 - blank = 98 -98 = 0 what is the answer

Answers

Solution :

7658 - 7000 = 658 - blank

658 = 658

So here, blank is 0.

547 - 7000 = 658 - blank

-7111 = 658 - blank

Blank = 7769

14 - 7000 = 658 - blank

- 6986 = 658 - blank

Blank = 7644

couldn't find science but this is a science question.
How can water affect the rock cycle?

A.Water can cause rocks to be buried deep underground.

B.Water can cause rocks to melt.

C. Water can causer rocks to break into sediments through chemical weathering.

D.Water can cause rocks to break into sediments through mechanical weathering.

Answers

Answer:

D.Water can cause rocks to break into sediments through mechanical weathering.

can ssome oone heelp me imm inn kinder garden and mmy teacher said what is 1 plus 1 plessssssssssssssssssssssss help me

Answers

Answer:

Step-by-step explanation: Ok So pretend you have one apple and your friend gives you another apple how much would you have... Answer is "2"

Answer: so it is 2

Step-by-step explanation: if one friend said I have 1 bike and you said you have 1 bike that would be 2. So 1 bike + 1 bike= 2 bikes

a line has a slope of 9 and includes the points (2,a) and (4,9.) What is the value of a? ​

Answers

Answer:

my guess would have to be a= -9   (negative nine)

Step-by-step explanation:

sorry, i tried solving the problem otherwise and couldn't get an answer, good luck

If lines Joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater than the one represented in the table? х,у 5,11 10,22 15,33​

Answers

Answer

I think first 3

Step-by-step explanation:

A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the function that the table represents is 2.2.

Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ2

What is the measurement of a line?

Answers

The length of a line segment can be measured either in metric units such as millimeters, centimeters, or customary units like feet or inches.

It takes 5 people 5 minutes to make 5 toys. How long would it take 100 people to make 100 toys?

Answers

Answer:

5 minutes

Step-by-step explanation:

5 people take 5 minutes to make 5 toys

1 person takes 25 minutes to make 5 toys

100 people take 0.25 minutes to make 5 toys

100 people take 0.05 minutes to make 1 toy

100 people take 5 minutes to make 100 toys

Please help thank you

In the complex number a+bi, a is called the Select Answer and b is called the Select Answer


option choices
imaginary part
real part
complex part
radicand

Answers

Answer:

A is the real part and B is the imaginary part. i is an imaginary figure. b is how many imaginary figures there are, making it represent an imaginary part

-4/3(12k +27) = -57 - 9k

Answers

Answer:

k=3

Step-by-step explanation:

PLEASE HELP THESE QUESTIONS ARE DUE TONIGHT 14 points well be given!!!and will be marked the brainiest !

Answers

Answer:

Step-by-step explanation

The first one is (3)  ( Z, X Y , U )

The 2nd one is ( RS )

3rd on is ( 2 )

i am confident for my answer.

Answer:

1.) 1ST CHOICE

2.) RS

3. I CAN NOT SEE THE QUESTION

Step-by-step explanation:

What's the function? f(x)=2x+7

Answers

F(x)=x^2+7x+c
I hope this help!!!!

(-3)(16)=
What is the question to this answer?

Answers

We know 3x16=48

Since there is a minus sign, the answer is -48.

:)

Solve.
f/5 - 24 = -28

f =

Answers

Answer:

f=260

Step-by-step explanation:

Answer:

f- -20

Step-by-step explanation:

36. Walter and Brian each have a CD collection.
The number of CDs in Walter's collection can be represented by x.
The number of CDs in Brian's collection is 3 times the number in
Walter's collection.
The total number of CDs in both collections is 144.
What is x, the number of CDs in Walter's collection?
A. 108
B. 48
C. 72
D. 36

Answers

x+3x=144
4x=144
144/4=36
X=36

Answer:

x+3x=144

4x=144

144/4=36

X=36

Step-by-step explanation:

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