Which expression results in a rational number?

Which Expression Results In A Rational Number?

Answers

Answer 1

4

the fourth expression is a rational

Answer 2

The expression results in a Rational number is √2.√18 .

What is rational number?

A rational number is "a real number which is in the form of  p/q, where q ≠ 0.The decimal expansion of any rational number is terminating or repeating".

What is irrational number?

A irrational number is "a real number which is not in the form of p/q, where  q ≠ 0.The decimal expansion is non-terminating and non-repeating at any point".

According to the question,

1)  √2.√18

   =√2.√(9.2)

   = √2.3.√2

   = 3.2

   = 6.

Hence, √2.√18  satisfy the given definition of rational number. The expression √2.√18 is a rational number.

2)  √2 + √2 = 2√2 = 2.82842712..... The expression√2 +√2 has decimal expansion which is non-terminating and non-repeating at any point then it is  irrational number. hence, √2 + √2 is not a rational number.

5.√5 = 11.1803399.... The expression5√2 has decimal expansion which is non-terminating and non-repeating at any point then it is irrational number. hence, 5√2 is not a rational number.

3√2 + 2√3=7.87831518.... The expression3√2 +2√3 has decimal expansion which is non-terminating and non-repeating at any point then it is irrational number. hence, 3√2+2√3 is not a rational number.

Learn more about Rational number here

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Related Questions

can you answer those 2 questions please?!thank you

Answers

Answer:

Question 1: Fraction

Question 2: Equal

Step-by-step explanation:

I know Q1 is right, I'm not so sure about Q2 so I'm sorry if that's wrong

Please help me answer these two questions!!!

Answers

#3=4
#5= 16
For number 3 it’s because you are solving for n so -60/-15= 4
For number 5 you divide -288/-18

What is the greatest common factor of 10, 20, and 50?

Answers

Answer:

10

Step-by-step explanation:

first you need to find the prime factors of the three numbers

ex:

prime factor of 18= [tex]2*3*3[/tex]

prime of 24=[tex]2*2*2*3[/tex]

there is one 2 and one 3 in common

greatest common multiple 2*3=6

so the greatest common multiple is ten because it is the only one that can divide between all three evenly.

[tex]10=10/10=1\\20=20/10=2\\50=50/10=5[/tex]

so 10 is your answer

Which is not equivalent to Ax + By=C?
С
y =
В.
y =
C-Az
B
O y=-4
Oy=
C-A
2
B

Answers

Answer: c-a

Step-by-step explanation:

Question 15 (5 points)
Solve |3x - 2| = |x + 1|
A) x = 3/2 or x= 1/4
B) x= 1/4
C) No solutions
D) x = 3 or x = -4

Answers

Answer:

A) x = 3/2 or x= 1/4

Step-by-step explanation:

Solve for x

|3x − 2| = |x + 1|

Rewrite the absolute value equation as four equations without absolute value bars.

3x − 2 = x + 1

3x − 2 = − (x + 1)

− (3x − 2) = x + 1

− (3x − 2) = − (x + 1)

After simplifying, there are only two unique equations to be solved.

3x − 2 = x + 1

3x − 2 = − (x + 1)

Solve 3x − 2 = x + 1 for x.

Move all terms containing x to the left side of the equation.

2x − 2 = 1

Move all terms not containing x to the right side of the equation.

2x  = 3

Divide each term by 2 and simplify.

          3

x =    ------

          2

Solve 3x − 2 = − (x + 1) for x.

Simplify − (x + 1).

3x − 2 = −x − 1

Move all terms containing x to the left side of the equation.

4x − 2 = −1

Move all terms not containing x to the right side of the equation.

4x  = 1

Divide each term by 4 and simplify.

         1

x =   ------

         4

Select the graph that correctly represents the cost, y, in dollars, to buy x grapefruit that cost $1.50 each.

Answers

Answer:

The first graph

Step-by-step explanation:

Solve for x.
A)-6
B)-9
C)-15
D)-18

Answers

The correct answer is C) -15.

Anyways, I hope you have a wonderful evening :)

find the percent increase. round to the nearest percent from 85 books to 134 books. the percent increase is *blank*

Answers

Answer:

57.65%

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((134 - 85) / 85) * 100 = 57.65 %

Daren draws a scale model of the Statue of Liberty
that is 15 inches tall. If the Statue of Liberty is 305
feet tall, what is the scale of the model?

Answers

Answer: 1525

Step-by-step explanation:

Explanation:

One way we can do this is to divide the hight of the Statue by the model height:

305ft       1525ft

20in    = 1 in  

And so for every inch of the model, it represents 15.25 feet.

Find the whole.
40% of what number is 6?
40% ofis 6.
(Type a whole number.)

Answers

Answer:

2.4

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

it is 15 I think!!!!!

help me with this please! asap, thank you

Answers

Answer:

i cant see it

Step-by-step explanation:

Hello! Does anyone know the answer for this question and how to work it out. I NEED HELP ASAP. I need the full workout out of it also

Answers

sorry i realy dont know sorrryy

what is 3/4. ÷ 1/6 ​

Answers

Answer:

9/2

Step-by-step explanation:

Calculator

Find the slope of the line that passes through (33,47) and (9,53)

Answers

-1/4 is the correct slope found by the rise and run method.

Answer:

-1/4

Step-by-step explanation:

y2-y1 / x2-x1 = 53-47 / 9-33 = 6/-24 = -1/4

The line passing through the points (-2,12) and (3,-23) intersects the line passing through which of these pairs of points ? Select three that apply .

Answers

Answer:

The equation of the straight line passing through the points

    7x +y +2=0

Step-by-step explanation:

Step(i):-

Given points are ( -2 , 12 ) and ( 3, -23)

Slope of the line

            [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-23-12}{3-(-2)} = \frac{-35}{5} =-7[/tex]

Step(ii):-

The equation of the straight line passing through the points

            [tex]y - y_{1} = m( x-x_{1} )[/tex]

           [tex]y - 12 = -7( x-(-2) )[/tex]

          y - 12 = - 7x -14

         7 x + y - 12 + 14 =0

         7x +y +2=0

pls help me i need help asap as possible

Answers

The first one is A and the second one is D.

What is the quotient and the remainder of 21÷6​

Answers

Answer:

The quotient is 3, and the remainder is 0.5. So the answer is 3.5!!!

Step-by-step explanation:

Answer: = 3 R 3

21 divided by 6 equals  = 3 with a remainder of 3

Step-by-step explanation:

 0 3

6 2 1

− 0  

 2 1

− 1 8

   3

sorry bit hard to explain on this note pad thing uwu

"The Martin family's truck gets an average of 22 miles per gallon. Predict how many miles then can drive using 3 gallons of gas." I NEED THE ANSWER ASAP PLEASE

Answers

Answer: 66miles on 3 gallons of gas

Step-by-step explanation: multiply 22 by 3

Level: Standard
2) Given: -2(x - 4) = 3(x + 12); Prove: x = -5.6
Statements
Reasons​

Answers

Answer:

comments r full

Step-by-step explanation:

Answer:

hsishisnsidhidhdidjjxnxindidhdinsixhxkxjosjskxijxhsishodjdixjishs

I'll GIVE YOU BRAINLIEST ANSWER!!! If someone can help me with this problem???

Answers

The answer is 3x^2 - 3x - 3 with a remainder of -3

please help me answer this...

Answers

Answer: 1.9375

Step-by-step explanation: i tried man gimme brainliest if i got it wrong or right

If you ask the first 50 females who enter a restaurant to complete a survey about their experience, who is the sample?

Answers

Answer:

the first girl

Step-by-step explanation:

because the first girl to take the survey is a sample but the rest that follows are just extras(can i get brainliest pls)

The sample in this scenario would be the first 50 females who enter the restaurant and are asked to complete a survey about their experience. These 50 females form a subset of the entire population of females entering the restaurant during that specific period.

A sample is a smaller group selected from a larger population for the purpose of gathering information or conducting research. It is often used in situations where it is impractical or impossible to survey the entire population. By surveying this sample of 50 females, the restaurant may gain insights into the experiences and opinions of their female customers.

It's important to note that the sample should ideally be randomly selected to ensure that it represents the population fairly. In this case, if the first 50 females entering the restaurant are chosen randomly, they can provide valuable feedback on their overall experience, which may help the restaurant make improvements or gain valuable insights into their customer base.

To know more about a sample:

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Jayson reads the first 48 pages of a 480-page book in 3 days. Marcus reads the first 50 pages of a 400-page book in 4 days. Nina reads the first 120 pages of a 600-page book in 5 days. If they continue to read at these rates, who will finish first?

Answers

Answer:

Nina will finish first.

Step-by-step explanation:

Let's calculate how many pages each person reads in one day:

Jayson ⇒ 48 pages / 3 days = 16 pages/dayMarcus ⇒ 50 pages / 4 days = 12.5 pages/dayNina ⇒ 120 pages / 5 days = 24 pages/day

Then we divide the number of pages of each book by reading speed of the respective person:

Jayson ⇒ 480 pages ÷ 16 pages/day = 30 days Marcus ⇒ 400 pages ÷ 12.5 pages/day = 32 days Nina ⇒ 600 pages ÷ 24 pages/day = 25 days

Thus Nina will take the shortest time finishing her book.

Answer:

Step-by-step explanation:

the amswer is     nina  

GUESS WHO IMA RIDE ALLLLL NIGHTTTT







duh spirit the stallion u nasty

Answers

Answer:

no guess what I'm going to be riding all night is your mom

Which of the following options have the same value as 30%, percent of 81? Choose 3 answers: A 30/100⋅81 B 0.3⋅81 C .03⋅81 D 3/10⋅81 E 30⋅81

Answers

Answer:

A, B, and D

Step-by-step explanation:

There are 220 students in the middle school. If 60% chose pizza for lunch, how many students chose pizza? Which is the correct proportion to solve if set up as p/w = %/100% *

Answers

I would say 100 kids. I may not be right

Quadrilaterals and other polygons

Answers

Answer:

BD is a perpendicular bisector of AC

can you do number one

Answers

Answer:

equally likely

Step-by-step explanation:

Please help me ASAP I’ll mark Brainly

Answers

Answer:

-2.3 repeating

Step-by-step explanation:

The sum of two numbers is 15. One number is 3 less than the other number. Find the
smaller number

Answers

Answer:

6+9 I think so 6

Step-by-step explanation:

I think this is right, hope it helped!

Answer:

6

Step-by-step explanation:

First make an equation where x symbolises the bigger number.x-3 is the smaller one. Solve for x.

x+(x-3)=15

x+x-3=15

x+x=15+3

2x=18/:2

x=6

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