Insert two rational number between 1.3 bar and 1.4 bar​

Answers

Answer 1

General method:

Given numbers are 1.3 bar and 1.4 bar

1.3 bar = 1.333...1.4 bar = 1.444...

Two rational numbers between them

= 1.3222... and 1.43333...

Mean Method:

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

(-)

____________

9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

____________

9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

The rational number between them by mean method (a+b)/2

⇛{(12/9)+(13/9)}/2

⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

Answer: The two rational numbers between them are 25/18 and 49/36.

also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

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Related Questions

Solve each system by elimination

10x-8y=4
-5x+3y=-9

Answers

[tex]10x-8y =4~~~....(i)\\\\-5x+3y=-9~~~...(ii)\\\\\text{Multiply equation (ii) by} -2\\\\10x-6y = 18~~~...(iii)\\\\(iii)-(i):\\\\10x-6y - 10x +8y = 18 -4\\\\\implies 2y = 14\\\\\implies y= \dfrac{14}2 = 7\\\\\text{Substitute y = 7 in equation (i):}\\\\10x-8(7) =4\\\\\implies 10x - 56 =4\\\\\implies 10x = 4+56\\\\\implies 10x = 60\\\\\implies x = \dfrac{60}{10} = 6\\\\\\\text{Hence (x,y) = (6, 7)}[/tex]

What is the answer HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Dnbsksks enmendad nsks

What is the degree of 5x^5+8x^2+2x-3x^9-8x^4-4x^5

Answers

Answer:

9

Step-by-step explanation:

It is the greatest exponent.

determine if the two triangles are congruent.If they are state how you know

Answers

Answer:

1. yes, both triangles sides are congruent

2. yes, they have congruent sides and they have a congruent angle

3. yes, congruent sides and angle

4. yes, 2 congruent angles

5. no, only one congruent angle not enough proof

6. yes, 2 congruent angles

7. no, only one congruent angle not enough proof

8. no, only one congruent side

yes they are so congruent that they are congruent

how will you know if two variables are proportional on a graph?

Answers

Answer:

Compare the constants of the two variables.

Changed at the same rate, or by the same factor, then they are directly proportional. For example, since the x-coordinates changed by a factor of 2 while the y-coordinates also changed by a factor of 2, the two variables are directly proportional.

Step-by-step explanation:

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

The test  has 10 3-point questions and 14 5-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

From the first equation:

3x + 3y = 72

Subtracting:

3x - 3x + 5y - 3y = 100 -72

2y = 28

so y = 14

x + 14 = 24 so x = 10.

10*3 + 5*14

= 30 + 70 = 100 points.

The regular price of a ladder is $250. If a customer uses the coupon, what percent will the customer save?

Answers

How much does the coupon take off of the original price?

twice a number x, minus 16​

Answers

Answer:

[tex]\huge\boxed{\sf 2x - 16}[/tex]

Step-by-step explanation:

twice a number x = 2x

minus means to subtract (-)

So, twice a number minus 16 is:

= 2x - 16

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Hey there!

Our unknown number is x.

First, "twice x" means we multiply x by 2:

2x

Then, we subtract 16:

2x-16

Therefore, the expression is: 2x-16

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with a smile on her face

Good luck with your studies. :-)

-8 Find the slope of the line y = -8/2x+1/5 Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

The slope is -4.

Because:

-8/2 is -4, which is the slope.

I need help putting these together in the correct place​

Answers

Answer:

whats do you mean by that whats the question ❓

Leticia reads the temperature of a solution in a lab experiment. The temperature of the solution is 6.1ºF. After 6 hours, she reads the temperature of the solution again. The temperature of the solution is now −1.7°F. Leticia plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.

Answers

Answer:

1.4F. When you add 3.1 to -1.7 you get 14F

Answer:

1.4 is the answer  

Step-by-step explanation: Hey I didn't get an A on my test but i got this one right

Make x the subject of the formula x/a 2 + 3 b = 2 c

Answers

Answer: x=-3ab/2+ac

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

what is 7/8 x 4 ? ( 7/8 is a fraction)

Answers

Answer:

7/2 or 3 1/2

Step-by-step explanation:

7/8*4/1=28/8

Simplify= 7/2 or as a mixed fraction = 3 1/2

Hope this helps

Can I have the brainliest if I am right?

On a certain hot​ summer's day, 421 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $788.50. How many children and how many adults swam at the public pool that​ day?

There were _ children at the public pool.

There were _ adult at the public pool

Answers

Answer:

214 children and 207 adults

Step-by-step explanation:

214 x 1.75=374.5

207 x 2 = 414

414 + 374.5 = 788.5

EASY 9TH GRADE MATH

Write an equation in point-slope form that passes through the point (1,-10) and
is perpendicular to y = -1/3 x + 5.
Do NOT type spaces between numbers and symbols.
Til
ALE
11
SE

Answers

Answer:

y = 3x - 13

Step-by-step explanation:

What is the solution to the system of equations?
y = -2x – 6
4x - y = -36

A (15, 24)

B (-7, 8)

C (-5, 4)

Answers

It’s a i think I don’t know

hi guys need some help with this one question thanks

Answers

Take two co-ordinates

(-2,0)(0,4)

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]

Equation in point slope form

[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]

[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]

[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]

Which is correct? I wanna make sure im right

Answers

it is letter C. 3.9

hope it helps

#Chloe919

#thanks for the points

#carry on learning

Please give atleast two answers 20 POINTS

Answers

Answer:

3x^3

Step-by-step explanation:

First: you multiply the exponents inside the parenthesis with the one outside.

12*1/3=  4

3*1/3=1

you get 81x^(4)/3x

divide everything by 3:  27x^(4)/x

now subtract exponents (when dividing), you get: 27x^3

Now 1/3 is the same thing as cube root, so cube root of 27 is, thus the answer is: 3x^3

Is this graph a function or not a function

Answers

Answer:

No, it doesn't pass the vertical line test.

Step-by-step explanation:

(6x²+2x-1)-(8x²-x-5)​

Answers

Answer:

-2x^2 + 3x + 4

Hope this helps. :D

Step-by-step explanation:

Pls give brainliest.

What is 12xq+35x14/455

x=multiply
+= addition
/= divide

Answers

Answer:

ı wanna learn abot it

Step-by-step explanation:

ı think u should make -b/2a and b^2-4ac

HELP please guys ................

Answers

Answer:

2nd choice

Step-by-step explanation:

im pretty sure its 1!

A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an average speed of 65,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.​

Answers

Answer:

42

Step-by-step explanation:

65000000/65000=1000

24hrs=1 day

1000/24=125/3

125/3 times 1000= 42

You record the number x of goals scored by the winning team, and the number y of goals scored by the
losing team for each soccer game during a team's season. Does the relation necessarily represent a function?
Explain.

Answers

Answer:

Step-by-step explanation:

Not necessarily.

For example 2 games could have the score 3-1 and 3-2.

This is a one-to-many mapping which is not a function.

16. You and a friend are going shopping. You leave school and drive 10 miles
due west on 26th Street. You then drive 7 miles NW on Raspberry Street to the
grocery store. Your friend leaves school and drives 10 miles due east on 26th Street.
He then drives 7 miles SE on Cascade Street to the movie store. Each of you has
driven 17 miles. Which of you is farthest from your school?

Answers

Answer:

My friend is farthest from my school

Step-by-step explanation:

Let the distance from the movie store to school be x and the distance from the grocery store to school be y

Using Cosine rule,

x²= 10²+7² - 2×10×7Cos120

x²= 149 -140(-0.5)

x²= 149+70

x²= 219

x= √219

= 14.8miles

y²= 10²+7² - 2×10×7Cos100

y²= 149 -140(-0.1736)

y²=149+24.2704

y²=173.2704

y=√173.2704

y=13.4miles

can someone help me with this asap, please and thank you (pic attached) *math*

Answers

Step-by-step explanation:

the "x-2" makes it shift by 2 to the right (functional values are created at x that "should have happened" at 2 x units before, so the whole graph moves to the right).

the 0.4 factor compresses it by the factor 0.4

the "-" at the beginning just "flips" (reflects) it to the other side of the x-axis.

QUICK I NEED HELP….PLZ Hurry!! ;-;

Which equation represents a liner function

Equation 1: Y=2x+1
Equation 2: Y^2= 3x+1
Equation 3: y=5x^5-1
Equation 4: Y= 4x^4-1

Answers

Answer: Equation 1: Y=2x+1

Step-by-step explanation:

which one is not congruent SSS,SAS,AAS,ASA,HL?

Answers

Answer:

  none of the above

Step-by-step explanation:

All of these abbreviations represent postulates that can be used to prove congruence. The HL postulate only applies to right triangles, but all of the others apply to any shape triangle.

All can be used to show congruence.

If RV = x+6, US = 5x-9, and RS = 11, find VT and ST

Answers

The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

The given parameters:

RV = x + 6US = 5x - 9RS = 11

The value of VT and ST is calculated as follows;

from the given diagram we can conclude the following;

2RV = RT = US

[tex]2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7[/tex]

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

[tex]ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56[/tex]

Learn more about Pythagoras theorem here:  https://brainly.com/question/12306722

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