Insert two rational numbers between-1/3 and 2/3. with explanation with whole process ​

Answers

Answer 1

Answer:

Two rational numbers between -1/3 and 2/3 are:

0 and 1/3

Step-by-step explanation:

A rational number is a number that can be written as the quotient of two integer numbers.

Here, we want to find two rational numbers that are between:

-1/3 and 2/3

So, our numbers need to be larger than -1/3 and smaller than 2/3

This is ratter simple, let's start with the lower limit (-1/3) let's add a rational number to it.

Then check, the new number meets the conditions? if not, then we try adding a smaller rational number and so on.

Just because in both cases we have a denominator 3, i will add numbers that also have a denominator of 3.

First try:

Let's try adding 1/3

-1/3 + 1/3 = 0

the number 0 is a rational number: 0 = 0/1

and is true that:

-1/3 < 0 < 2/3

So we already found one of the rational numbers.

Now let's try again, let's add 5/3 this time

-1/3 + 5/3 = (-1 + 5)/3 = 4/3

This is larger than 2/3, so this is not in the desired range.

Let's try again, this time adding 2/3

-1/3 + 2/3 = (-1 + 2)/3 = 1/3

is true that:

-1/3 < 1/3 < 2/3

So the number 1/3 is in the desired range, so we found the second rational number.

You can see that this is kinda a trial and error way to solve these problems, this is the "easier" way to start, as you work with this, eventually you will practice enough and will be easy to find numbers between given ranges.


Related Questions

which line is parallel to y = x + 4​

Answers

I would say that the answer is F, y= -2x+4

3x(5 - x)
Someone plssssss

Answers

Answer:

-3x^2+15x

Step-by-step explanation:

3x(5-x)

3x(-x+5)

-3x^2+15x

Find the area of the given regular polygon
Round your answer to the nearest tenth, if necessary.
A. 221.7
B. 665.1
C. 280.6
D. 2660.4

Answers

Answer:

A.221.7

Step-by-step explanation:

god bless

[tex]a[/tex]

i need help on 1&2 pls

Answers

Answer:

Step-by-step explanation:

1. Slope

2. Hypotenuse

What is AC? ACB is right angle triangle. Side AB is 37 and BC is 35.

Answers

Answer:

The answer is 12

Step-by-step explanation:

If you would like you could use this tool https://www.omnicalculator.com/math/right-triangle-side-angle

Also 12, 35, 37 is a pythagorean triple further proving that tyheanswer is 12.

What is the range of the function shown in the graph below?

Answers

Answer:

y= -3/2X + 2

Step-by-step explanation:

we get the gradient by picking any two points from the graph( it a linear graph)

using the point:

(x,y)= (-2,5) , (4,-4)

using M= (y2-y1)/x2-x1)

we get our gradient to be -9/6 which is

-3/2

using the equation of a straight line graph which is

y-y1=m(x-x1) and the point (4,-4)

we get

y-(-4)=-3/2(x-4)

----> y+4= -3/2x + 6

make y subject of the formula to take the form

y=mx+c

we get :

y=-3/2x + 2

Find the value of z.

Answers

I believe it’s z=60 degrees sorry if I’m incorrect

PLEASE HELP ME!!!Will mark brainlyist if right!!!

Answers

Answer:

96

Step-by-step explanation:

Arc is double the amount of the inscribed angle

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

confusing one

Step-by-step explanation:

HELP PLEASE HELP!!!!

Answers

Answer:

a=12 b=9

Step-by-step explanation:

u can substitute 3/4a in for b in a+b=12 since it is equal to b, giving you

a+3/4a=21

a=4/4a

4/4a+3/4a=21

7/4a=21

4/7(7/4a=21)

a=12

plug in 12 for a in either equation

b=3/4*12

b=9

(21=12+b) -12

9=b

A cylinder has a height of 5 ft and a volume of 80 ft3. What is the radius?

Answers

Answer:

The radious would be 2.26

Step-by-step explanation:

Answer:

r = 2.26 ft

Step-by-step explanation:

v = πr²h

80 = πr²(5)

Divide both sides by

16 = πr²

Divide both sides by π (using 3.14 )

5.0955414013 = r²

Take the square root of both sides

r = 2.2573305919

Rounded

r = 2.26 ft

Aiden has two books. One book has a mass of 228 grams, and the other has a mass of 169 grams.

What is the difference in the mass of the books? Enter the answer in the blank.

_____ grams

Answers

Answer:ufk

Step-by-step explanation:

A jar contains 17 yellow and 12 green marbles. You randomly draw one marble from the jar then
REPLACE it and randomly draw a second marble. Find the probability that you draw a yellow marble first
and then a green marble.

Answers

Answer:

204/841

Step-by-step explanation:

17/29 times 12/29

HELP ME ASAP PLIS. This is the last question I don’t get it please help me people

Answers

Answer:

Component Form: v = <-1,6>

Magnitude of v: ||v|| = √37

Direction of v: θv = 100° (to the nearest degree)

Step-by-step explanation:

Component Form: v = <(5-6),(3-(-3))> = <-1,6>

Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37

Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.

Which number line shows the approximate location of 35?

Answers

Answer:

I need a list of numberlines or some other kind of explaination on how to solve this problem. I caint help you on this with out them. Sorry.

Step-by-step explanation:

0.246446 to the nearest hundredth is?

Answers

Answer:

.25

Step-by-step explanation:

hundredth's is the second place over so you look the the 3rd number. 4 or less it stays the same 5 or more you add one

solve for w: 19 + w = 30

Answers

Answer:

11

Step-by-step explanation:

19 + w = 30

w = 11

8. Veronica is trying to prove triangle ABC is equal to triangle DEF Which statement would not help to prove the two
triangles congruent?

Answers

Answer:

no answer sorry

Step-by-step explanation:

no answer sorry

pls tell me if yall know this.....

Answers

Answer:

57º

Step-by-step explanation:

A triangle equals 180º so to find x, just subtract the other angles from 180

180 - 39 - 84 = 57

Step-by-step explanation:

x+39+84=180 (being sum of angle of triangle is 180)

x+123=180

x=57

1. For AEFG shown below, construct the median from E to side FG. Leave all construction marks.

can somebody please describe where i put the construction marks? it’d be really helpful.

Answers

Answer:

Step-by-step explanation:

A median bisects the side it intersects with, so the first step is to bisect FG.

Set the compass slightly larger than half of FG.

Put the point on F and draw a half circle that intersects FG and faces G.

Put the point on G and draw a half circle that intersects FG and faces F.

Draw a line through the intersections of the two half circles, and the intersection of that line with FG is FG's midpoint.

Connect the midpoint with E, and the connecting line is the median.

States Traveled To or Lived In
2, 3, 6, 1, 5, 2, 11, 8, 1, 2, 6, 1, 2, 7, 13
8. Order the data from least to greatest.
(Use a comma to separate answers as needed.)

Answers

Answer:

1, 1, 1, 2, 2, 2, 2, 3, 5, 6, 7, 8, 11, 13

Step-by-step explanation:

plz mark brainliest would really help


if y = 0.5x + 5

and y = 30,

what will x=

Answers

x=35

Step-by-step explanation:

y=30

y=0.5x+5

you would take 30÷0.5=60

0.5x60+5

30+5=35

x=35

I think this is right, don't come at me if it's not lol

HELP ASAP!! WILL MARK U AS BRAINLIEST!!

Answers

Answer:

a Answers is A

b Answer is D

Step-by-step explanation:

he sayed that the X doubles in the first one so its ×2

and in the second one he sayed that the x is only triples so we dont have to Multiply we have to devide it 5/x/3=5/x ×1/3

the lowest common multiple of 9, 6 and 4 is? i just need numbers :)

Answers

Answer:

I think its 36

Step-by-step explanation:

Gina Miss 12 out of 100 questions on her final what ratio of the question did she get correct?​

Answers

Answer:

Step-by-step explanation:

100 - 12 = 88

88:100

22:25

Answer:

88

Step-by-step explanation:

12-100=

88

I hope this helped

Tomorrow the last day of school how ya feel?
-franz:)

Answers

Answer:

Ours is today. Feels weird how we came a long way with the pandemic presiding our academic studies.

Step-by-step explanation:

Choose all of the sentences that describe 800 = 40 x 20.
A. 800 is 40 more than 20.
B. 800 is 40 greater than 20.
C. 800 is 20 greater than 40.
D. 800 is 40 times as many as 20.
E 800 is 20 times as many as 40.

Answers

Answer: d, e

Step-by-step explanation:

Hi!! Whats 5+5+6355334+64-463454432/2?

Answers

Answer: 414628192

Step-by-step explanation: ok, so take 5+5=10

10+ 6355334= 6355344 + 64= 6355408

then do  463454432/2 which = 231727216 then

646355408-231727216=  414628192

Have a good day (^_^)

Tina brought $37.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as the sketchbook, and the sketchbook cost 3 4 the cost of the paint set. Tina had $4.00 left over after buying these items.

Answers

Answer:

18.75=p

s=14.06

b=2.34

Step-by-step explanation:

37.75=b+s+p

-4

33.75=b+s+p

s=3/4p

b=1/6s

33.75=1/6(3/4p)+3/4p+p

33.75=3/20p+3/4p+p

(33.75=18/20p+p)20

675=18p+p)/18

37.50=2p)/2

18.75=p

s=3/4p

3/4(18.75)

s=14.06

b=1/6s

1/6(14.06)

b=2.34

37.75-4=18.75+14.06+2.34=35.15

im missing 50 cents somewhere its wrong but close i think sorry

The cost of a brush, a sketchbook and a paint set given the total amount with Tina is $2.25, $13.5 and $18 respectively.

How to write and solve equation?

Total = $37.75

Amount left = $4.00

let

paint = pb = 1/6ss = 3/4p

37.75 = p + b + s + 4

37.75 - 4 = p + 1/6s + 3/4p

33.75 = 1/6s + 1 3/4p

33.75 = 1/6(3/4p) + 1 3/4p

33.75 = 3/24p + 7/4p

33.75 = 3+42 / 24p

33.75 = 45/24p

p = 33.75 ÷ 45/24

= 33.75 × 24/45

= 810/45

p = $18

substitute into

s = 3/4p

= 3/4 × 18

= 54/4

s = $13.5

b = 1/6s

b = 1/6 × 13.5

b = 13.5/6

b = $2.25

Learn more about equation:

https://brainly.com/question/2972832

what is 4 + 78908 + 54732927 - 7 + 45678?

Answers

Answer: the answer is: 54857510

Step-by-step explanation:

What i had just did was i just broke the equation into 2 parts: so i did first (4 + 78908 + 54732927 - 7) which gave me 54811832. Then i did the next part which was adding 45678 in the mix ( 54811832 + 45678 = 54857510) So, the number from which you are left with is 54857510.

((TIP: Next time when you see problems like this, break them down into smaller equations so it will be much easier for you to solve, and its much more quicker and less harsh on your brain  rather then just trying to do in all in one shot))

~i hope this has helped you out, have a gr8 day/ night my friend!~  :-)

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