Which number produces a rational number when added to 1/3

Which Number Produces A Rational Number When Added To 1/3

Answers

Answer 1

Answer:

[tex]0.22[/tex]

Step-by-step explanation:

[tex]0.22 =22/100[/tex]

0.22 can be expressed as a fraction. Therefore, it is a rational number.

1/3 is a raional number.

[tex]1/3+22/100=83/150[/tex]

Answer 2

To produce a rational number we add 0.22 to 1/3. So, option C. is the right option.

What are rational and irrational numbers?

A rational number is any number of the form p/q, where p, q ∈ Z, q ≠ 0, and p and q have no common factors except 1.

Any number which cannot be expressed in the above form is called an irrational number.

How do we solve the given question?

In the question, we are asked to find the number from the given choices, which when added to 1/3, produces a rational number.

We know that adding an irrational number to any number gives an irrational number only. So we simply need to check for the rational number among the given options. Analyzing the options:

A. π: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number. (We sometimes take π = 22/7 which is a rational form, but it is not the actual value of π).B. 5.38516480...: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number.C. 0.22: It is a rational number as it can be written as 11/50, the required p/q form for being a rational number.D. √10: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number.

∴ We will add 0.22 to 1/3, to produce a rational number. Option C. is the right choice.

Learn more about rational and irrational numbers at

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Related Questions

A basketball player averaged 12.4 points per game in a season. If he maintained this average over five games, how many points did he score in those five games?

Answers

Answer:

the 5th number = 62-44 = 18

Step-by-step explanation:

Please help! I have not seen a correct answer yet :(

A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,3,2 is one possible sequence.)

Answers

Answer:

60 possible sequences.

Step-by-step explanation:

That would be 6! / 3! 2!

   6*5*4*3*2*1

=  ------------------

     3*2*1*2*1

= 5*4*3

= 60.

Which of these numbers has the greatest absolute value-3 1 -9 5

Answers

I believe it is the 9, with absolute values the number will always be positive so the absolute value of -9 is 9, which is the greatest out of all the options

Expand 4(2x - 3)
Please

Answers

Answer:

4(2x) 4(-3)

Step-by-step explanation:

Separate the two parts of what is inside of the parentheses to “expand” it.

Answer:

The correct answer is

2x − 3

You can expand using the binomial expansion theorem.

Hope this helps!

- Quinn <3


The shape has an area of 60 square inches. Find the value of x.

Answers

Answer:

8

Step-by-step explanation:

Since the area of a kite is half the product of the diagonals:

60=15*x/2

120=15*x

x=120/15=8

Hope this helps!


Part A: What is the value of 3x if 9x + 4 = 6x –11?



Part B: What is the value of 2x + 1 if 25 = 10x + 5?

Answers

Answer:

Part A: 3x = -15

Part B: 2x+1= 4+1  (x=2)

Step-by-step explanation:

How many seed pockets are there ?

Answers

Each seed packet can grow 6 flowers. So she needs 3 packets to grow 18 flowers.

Use the graph to write the factorization of x^2-x-6.

Answers

Answer:

[tex](x+2)(x-3)[/tex]

Step-by-step explanation:

[tex]x^2-x-6[/tex]

[tex]x^2-3x+2x-6[/tex]

[tex]x(x-3)+2(x-3)[/tex]

[tex](x+2)(x-3)[/tex]

Answer:

(x-3) (x+2)

Step-by-step explanation:

I just got the question right on the exam!

Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.



GA ∩ TN = I

∆GIT ≅ ∆________

By rule _________

Answers

Answer:

GIT is congruent to AIN

By rule SAS

Step-by-step explanation:

welp hope this helps

Does anyone know how to find the area ?

Answers

Answer:

To find the area of a shape, multiply the sides. Hope this helps! ;)

Answer:

YES!

Step-by-step explanation:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Identify the vertex of the parabola plssss..!!!!!!

Answers

Answer:

the vertex is (4,-1)

The table shows the function representing the height in the area of the base of a rectangular prism for different values of X the volume of the prism when X = 3 is 36 which equation can be used to represent the volume of the prism, v(x)?

Answers

Answer:

A

can i have brainliest lol

Step-by-step explanation:

when x = 3, the volume is 36.

4 times 9 = 36, so you multiply f(x) by g(x) to get 36

y > -1/3x -1 as a graph

Answers

Step-by-step explanation:

Is this the graph you needed??

The dots are the shaded region

Darin has 5 coins that the total 62%. What are the coins?

Answers

Hi there!

There are several possible options.

A main one would be : 10 DIMES and 2 PENNIES

Other ones could be :

2 quarters
1 dime
2 pennies

62 pennies

12 nickels
2 pennies

and more !

Hope this helps !

Simplify √ 20 x 8 y 9 to the form a √ b .

Answers

Answer:

Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?

How to convert 1/4 to decimal form. How do I start that ? I obviously know it’s .25 but how do I show work ?

Answers

Answer:

(1/4 x 1 ) = 0.25

or (1/4) x 1 = 0.25

Step-by-step explanation:

We are doing the opposite to finding 25%

Which is 1/4 of 100%

We do this an opposite (not as inverse)

To find percentage increase as you can compare below.

or as percentage increase

230 x 0.25 (x 100) = 287.50  

Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.

Answer:

Use a calculator or use long division. See long division below.

Step-by-step explanation:

Use a calculator or use long division.

Long division:

               ------------------------------

        4     |  1

4 does not go into 1, so add a decimal pace to 1.

                    0.

                   ------------------------------

            4    |  1.0

4 goes into 10 2 times.

                      0.2

                   ------------------------------

             4    |  1.0

             -          8

           --------------

                        2

There is a remainder, so bring down another 0.

                      0.2

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

4 goes into 20 5 times.

                    0.25

                   ------------------------------

             4    |  1.00

             -          8

           --------------

                        20

               -        20

             --------------

                            0

The remainder is zero.

1/4 = 0.25

If sec x = −13/5 and tan x < 0, then cos x =

Answers

Answer:csc(x

Step-by-step explanation:You welcome

the answer is undefined, coz x = undef

Given a = -3 and b= 4 and c=-5, evaluate
atb
C
-1/5
O 1/5
0 -7/5

Answers

Answer:

I got - 5 as an answer.

I don't think I made a mistake.

Please if you find any error, contact me in the comment section.

Step-by-step explanation:

[tex]a = -3 , b= 4 ,c= - 5\\(a+b)c\\(-3+4)-5\\(1)*(-5)\\Answer = -5[/tex]

A.line d
B.line c
C.line b
D.line a

Answers

Answer:

B. Line c

Step-by-step explanation:

looking at the points, 3, -2 is on line c.

// have a great day //

Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0

a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4

Answers

Answer:

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

I need help asap pls help me

Answers

Answer:

36 ft

Step-by-step explanation:

The first step is to find the length of the hypotenuse of the newly formed right triangle. Using the Pythagorean theorem:

[tex]x=\sqrt{10^2+24^2}=\sqrt{100+576}=\sqrt{676}=26[/tex]

Adding this to the 10 foot tall part of the tree that remains standing, you get an initial height of 26+10=36 feet. Hope this helps!

In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?


AWARDING MAX POINTS

Answers

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)

We can see in the diagram the chord AB and chord CD intersect each other at point E.

Each of the chord is divided into two segments.

According to the Intersecting Chords Theorem:

Products of the lengths of line segments on each chord are equal

Which means that

(AE)(EB) = (CE)(ED)

Substitute the given values;

(4)(EB) = (10)(6)

4(EB) = 60

EB = 15

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15

Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

Answers

Answer:

[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Step-by-step explanation:

The given quadratic equation is

[tex]x^2=5-x[/tex]

It is can written as

[tex]x^2+x-5=0[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,

[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]

[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]

Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Please help me with this

Answers

Answer:

it 8

Step-by-step explanation:

4^3 is 64

2^3 is 8

64/8 is 8

Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3 2 (3) + 6

Answers

2(3)+6

Explanation

2(3+3)=12


2(3)+6
6+6=12

Equivalent

Answer:

D

Step-by-step explanation:

Mr. Greene bought some pens at the school supply store, including 15 blue pens. 60% of all the pens he bought were blue.

How many pens did Mr. Greene buy in all?

Answers

Answer:

Mr. Greene bought 25 pens in all.


Step by Step Explanation:

25/5=5

5=20%

15=60%

25=100%

Solve the system of linear equations by elimination.
-
- 3x + 4y = 18
6x+2y = -6

Answers

Answer: (-2,3)

Step-by-step explanation:

-3x + 4y = 18

6x + 2y= -6        we have to eliminate one of the variables so you will have ot

2(-3x + 4y) = 18(2)     multiply the first equation by 2.  

-6x + 8y = 36

6x +  2y = -6       now we could eliminate the x terms by adding them and

 0  +   10y= 30   remember that is a new equation.  

        y=  3

Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.

-6x + 8(3)=36

-6x + 24= 36

         -24   -24

-6x =  12

x= -2

The solution for the system of given linear equations is (-2, 3).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).

By elimination method,

Multiply equation (I) by 2, we get

-6x+8y=36 ----(III)

Add equation (II) and (III), that is

-6x+8y+6x+2y=36-6

10y=30

y=3

Substitute, y=3 in -3x + 4y = 18, we get

-3x+4(3)=18

-3x=6

x=-2

Therefore, the solution for the system of given linear equations is (-2, 3).

To learn more about the linear system of an equations visit:

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Answer plz!
Which choices are equivalent to the expression below? Check all that apply.

Answers

The right options are:

Option AOption COption E

please see the attached picture

Hope it helps

Good luck on your assignment

In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?

Answers

2.5 bags of rice are worth one fish

Answer:

One fish can be traded for 2 2/3 bags of rice.

Step-by-step explanation:

Key:

F = One fish

L = Loaf of bread

R = Bag of rice

So, with that set we see that:

3F = 2L & L = 4R

2L for 2 x 4 = 8R

So,

3F = 8R OR 3:8 OR 8/3

8/3 = 2 2/3, which is the answer.

Cuantas veces cabe 1/8 en 1/4

Answers

Answer:

Two eighths

Step-by-step explanation:

Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half.

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