If x and y are two rational numbers such that x < y , then ______ is a rational number in between x and y.

Answers

Answer 1

Answer:

[tex]\dfrac{x+y}{2}[/tex]

Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

[tex]R=\dfrac{x+y}{2}[/tex]

So,

If x and y are two rational numbers such that x < y , then [tex]\dfrac{x+y}{2}[/tex] is a rational number in between x and y.


Related Questions

Question
Find the volume of the cylinder. Find the volume
of a cylinder with the same radius and double the
height
7 in
3 in

Answers

Answer:

I couldn't really see the height number (that had to doubled) ir really the radius but I saw 7 for the radius and 3 (×2) for the height so I did the math and the answer is 923.63

Step-by-step explanation:

i could be wrong tho, hope this helped

Answer:

923.63

Step-by-step explanation: hope this helps!!

Plsss helppp ASAP

Will mark brainleist

Answers

Answer:

B

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a , b ] = [ 15, 35 ]

and f(b) = f(35) = 400 ← from graph

f(a) = f(15) = 200 ← from graph

Then average rate of change is

[tex]\frac{400-200}{35-15}[/tex] = [tex]\frac{200}{20}[/tex] = 10 m/ s → B

The diameter of a circle is 8 inches. What is the area?

d=8 in

Give the exact answer in simplest form.

Answers

Step-by-step explanation:

Radius = Half of Diameter

r = 8/2

= 4 in.

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi \: {in}^{2} [/tex]

last question 100 pts pleasee

Answers

Sum of two interiors =Exterior

Use simple way

Angle beside x

180-(30+14)180-44136

Measure of x

180-13644°

Answer:

x = 44°

Step-by-step explanation:

According to the Exterior Angle Theorem of a triangle, the external angle is equal to the sum of the two interior opposite angles of a triangle.  

This is because the interior angles of a triangle sum to 180° and angles on a straight line sum to 180°.

⇒ x = ∠CAB + ∠BCA

⇒ x = 14° + 30°

⇒ x = 44°

Proof

Interior angles of a triangle sum to 180°

⇒ ∠CAB + ∠ABC + ∠BCA = 180°

⇒ 14° + ∠ABC + 30° = 180°

⇒ ∠ABC = 180° - 14° - 30°

⇒ ∠ABC = 136°

Angles on a straight line sum to 180°

⇒ ∠ABC + x = 180°

⇒ 136° + x = 180°

⇒ x = 180° - 136°

⇒ x = 44°

2 8/100 turned into decimal

Answers

Answer:

2.08

Step-by-step explanation:

We know 2 is a whole number.

8/100 would be converted to the hundredths place.

0.000

     /\

      |

This is the hundredths place.

So the decimal is 2.08

---

hope it helps

help me

The two major types of metal electrical cable are:

A.wire and fibre
B.twisted pair and coaxial
C.twisted pair and fibre optic
D.coaxial and fibre optic

2. What are the most common forms of wireless connection?

A.infrared beams
B.microwaves
C.radio waves
D.all of the above

3. Wi-fi connections have limited range of :

A.10 metres
B.600 metres
C.20 metres
D.300 metres​​​

Answers

Answer:

1.The two major types of metal electrical cable are:

A.wire and fibre

2. What are the most common forms of wireless connection?

C.Radio news

3. Wi-fi connections have limited range of :

D.300 metres

Cost of a cell phone: $249.50
Markup: 30%

Answers

Answer:

$324.35

Step-by-step explanation:

249.50 x 1.30 = $324.35

DELL 5+5
what's a girl Raymond ​

Answers

Ray? What are u asking me right now.

please help me with this one

Answers

Answer:

A: 112 cubic inches

Step-by-step explanation:

A = l*w*h/3 = (6*8*7)/3

A = 336/3

The product of 3 consecutive even integers is equal to the cube of the first plus the square of the second plus twice the square of the third. Find the integers. Please show work.

Answers

Answer:

6, 8 and 10  and  -2, 0, 2

There are two roots x = -2 and 6,    

but the since I don't believe 0 is an even number the answer is 6, 8 and 10

I was incorrect according to G0ggle zero is an even number so another answer is  -2, 0, 2

Step-by-step explanation:

read the question and convert the English to mathematics

x, y and z    even consecutive number

y = x+2

z = y+2 = x+4

and

xyz = x³ + y² + 2z²                                   substitiute x terms  in for y and z

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²           solve for x by graphing on DEMOS

                                                                 x = -2, 6  solved algebraically below

x = -2   y=0   z=2

x = 6    y=8   z=10

Checked both answers

xyz = x³ + y² + 2z²

-2(0)2 = -8 + 0 + 8                  when x = -2

   0   =  0

and

6(8)(10)  =  6³ + 8² +2(10)²      when x = 6

   480   =  216+64+200

             =  480

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²                           solved algebraically

(x²+2x)(x+4)   = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + 3x² + 20x + 36

      3x² - 12x - 36 = 0         factor out the 3

      3[x² - 4x - 12] = 0

       3(x+2)(x-6) = 0     x = -2 and -12

Two sides of a triangle measure 5
units and 3 units. The perimeter
of the triangle is 12 units. What is
the measure of the third side?

Answers

Answer:

4 units

Step-by-step explanation:

5+3=8

12-8=4

Cool-down Melanie and Kala each started solving equation 2 for x. 1 (7x – 6) = 6x – 10 The result of Melanie's first step was: 3.5x = 6 = 6x - 10 The result of Kala's first step was: 7x - 6= 12x - 20 One of them made an error. Who was it, and what was the error?
I need to find who made the error and what was the error ​

Answers

Answer:

Kala's first step.

Step-by-step explanation:

Solving linear equations.

Step 1: Simplify each side, if needed. Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side. Step 3: Use Mult./Div. Step 4: Check your answer. I find this is the quickest and easiest way to approach linear equations. Example 6: Solve for the variable.

But Kala did not do that. Instead, she skipped the first stages and moved on ahead, making her equation invalid.

Triangle EFG is dilated by a scale factor of 1/4 ​ to form triangle E'F'G'. Side E'F' measures 12.512.5. What is the measure of side EF?

Answers

Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of [tex]\frac{1}{4}[/tex] i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

[tex]\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125[/tex]

help plz plz plz plz plzzz brainliest

Answers

Answer: About 4

Step-by-step explanation:

16 divided by 3 2/3 is 4. decimal so round that and about 4 is you’re answer.

Answer:

4 dress will be the max

Step-by-step explanation:

it is a division question

16 yards on a roll ÷ 3⅔ yards of fabric

16÷3⅔

16÷ 11/3

16*3/11

48/11

4.3636.

Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6 teachers. There are 720 people in the auditorium. Consider the probability of selecting one person at random from the auditorium

Answers

Correct Question:

He counts 18 female students, 16 male students, and 6 teachers. There are

720 people in the auditorium. Consider the probability of selecting one person

at random from the auditorium.

Which of these statements are true?

Choose all that apply.

A:  The probability of selecting a teacher is 6%.

B : The probability of selecting a student is 85%.

C : The probability of selecting a male student is 32%.

D : The probability of selecting a female student is 45%.

Step-by-step explanation:

Option B  and D are correct because

The total number of people in one cross section = 18 + 16 + 6 = 40.

A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %

B = The probability of selecting a male student is = (34/40)x100 = 85%

C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %

D : The probability of selecting a female student is = (18/40)x100= 45%

How to multiply fractions

Answers

Answer:

Answer Below:

Step-by-step explanation:

The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

Diddy Corp. Stock has a beta of 1.2, the current risk-free rate is 6 percent, and the expected return on the market is 14.50 percent. What is Diddy's cost of equity?

Answers

Answer: 16.2%

Step-by-step explanation:

You can find the cost of equity using the Capital Asset Pricing Model (CAPM).

Cost of equity = Risk free rate + Beta * (Expected return on market - Risk free rate)

= 6% + 1.2 * (14.50 - 6%)

= 6% + 10.2%

= 16.2%

Explain the relationship between evolution, natural selection and mutations.

You must write out a well thought out and cohesive explanation. Use the CER model for this answer.

Answers

Answer:

Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.

Answer:

Darwin's theory of evolution

Charles Darwin developed a theory of evolution to explain the unity and diversity of life, based on the idea of shared common ancestors.

Natural selection

Darwin's theory was based on the mechanism of natural selection, which explains how populations can evolve in such a way that they become better suited to their environments over time.

Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.

Light colored mice are more easily seen by predators and are therefore preyed upon more. Dark mice are better adapted to their environment and better able to survive and reproduce.

Natural selection acting on mice population over time.

Individuals have variations within their heritable traits. Some variations make an individual better suited to survive and reproduce in their environment.

If this continues over generations, these favorable adaptations (the heritable features that aid survival and reproduction) will become more and more common in the population.

The population will not only evolve (change in its genetic makeup and inherited traits), but will evolve in such a way that it becomes adapted, or better-suited, to its environment.

Artificial selection

There are other types of selection, in addition to natural selection, that are out there in the world.

Artificial selection, also called "selective breeding”, is where humans select for desirable traits in agricultural products or animals, rather than leaving the species to evolve and change gradually without human interference, like in natural selection.

A timeline showing how dogs became domesticated over a long period of time due to artificial selection.

A timeline showing how dogs became domesticated over a long period of time due to artificial selection.

Dog breeding is a perfect example of how humans select for desirable or fashionable traits. Breeders deliberately mate parents with the hope of producing offspring with specific traits (such as color, size, ear shape, snout length, and so on).

Common mistakes and misconceptions

Evolution is not the same as adaptation or natural selection. Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment.

Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits. For example, a rabbit can't choose to have a different fur color. Rather, a genetic mutation causes a difference in fur color, which may help that rabbit hide better in its environment.

Natural selection acts on existing heritable variation. Natural selection needs some starting material, and that starting material is heritable variation. For natural selection to act on a feature, there must already be variation, and that variation must be able to be passed on to offspring.

Natural selection depends on the environment. Natural selection doesn't favor traits that are somehow inherently superior. Instead, it favors traits that are beneficial in a specific environment. Traits that are helpful in one environment might actually be harmful in another.

Step-by-step explanation:

Julio recibió $640.000: gastó las ⅜ partes para pagar sus estudios y la ¼ parte para reparar el auto, ¿cuánto dinero le queda?

Answers

Answer:

Resto= $240.000

Step-by-step explanation:

Dada la siguiente información:

Cantidad total de dinero= $640.000

Costo de estudio= 3/8= 0,375

Costo de auto= 1/4= 0,25

Primero debemos calcular la cantidad total gastada, y después la diferencia:

Costo de estudio= 0,375*640.000= 240.000

Costo de auto= 0,25*640.000= 160.000

Gasto total= $400.000

Resto= 640.000 - 400.000

Resto= $240.000

A pizza cut into 8 pieces cost $10.00.
What is the cost per piece?

Answers

Answer:

$1.25

Step-by-step explanation:

10/8 =1.25

Answer:

$1.25

Step-by-step explanation:

just divided 10 with 8

Enteros 15+18 resultado

Answers

Pues es 33 el resultados

if the third term is 20 and 7th is 1.25, find the 11th term

Answers

Answer:

the 11th term is 0.0000488 or 4.88*10^-5.

Step-by-step explanation:

a3 = 20, a7 = 1.25

a7 = a3r^7-3

1.25 = 20r^4

r^4 = 0.0625

r = 4th root of 0.0625

r = 0.5

a3 = a1r^3-1

20 = a1(20)^2

400a1 = 20

a1 = 0.05

a11 = 0.05(0.5)^11-1 = 0.0000488 or 4.88*10^-5

In a fruit cocktail, for every 30ml of orange juice you need 20ml of apple juice and 50ml of coconut milk. What proportion of the cocktail is orange juice? Give your answer in the simplest form of ratio

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

me

Step-by-step explanation:

becssu imthe best guy

Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?

Answers

Kiran can explain factoring to lin by finding what multiples together to get an expression. It is in a way, like splitting an expression into multiplication easier expressions.

Answer:

doing this so other guy gets brainliest

Step-by-step explanation:

488, 460, 520, 544, 535
What is the range of the data?

Answers

Answer:

84

Step-by-step explanation:

To find the range, find the difference between the largest value and the smallest value.

544 - 460 = 84

4/5 x 7 need help asap​

Answers

Answer:

4/5=0.8×7=5.6

5.6 is the answer

Hey there!

4/5 × 7

= 4×7/5

= 28/5

= 5.6

Hope it helps ya!

If arc ED=(9x-3) , arc BF=(15x-39) and angle BCF=(11x-9) find arc ED

Answers

Answer:

ED = 105

Step-by-step explanation:

Answer:

ED=105 and x=12

Step-by-step explanation:

pls help i’ll give brainliest

Answers

Answer:

The answer is 56.33 in decimal form but in fraction form the answer is 5633/

100

Step-by-step explanation:

6.55 x 8.6

What is the value of x in the equation below?
12 – 2(x-1)=6

Answers

X=25 in this equation. But if u divide by 12 it’s -25
X=-2
You would distribute the -2 and Zoe 1 and 1*-2=-2



Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.

Answers

Answer:

y=4x+5

Step-by-step explanation:

y=mx+c

gradient =m

y intercept=c

m=4

c=5

so

y=4x+5

Answer:

y=4x+9

Step-by-step explanation:

y=mx+b

y=4x+b

5=4(-1)+b

5=-4+b

b=9

y=4x+9

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please help me i will give a brainliest A tree casts a shadow that is 231 cm long. Janet is 170 cm tall and she casts a shadow that is 102 cm long. How tall is the tree? Tell the story of [your first day of school], following this rule: each sentence begins with the last letter of the previous sentence.(Other options: your weekend, your first memory, a vivid dream you remember)Pls help yall Find the value of y. Will give out a brainly for help Need help quick!!What is the difference between positive and negative integration? Which is an example of a figure of speech from these poems?A)Wept for me, for thee, for all,When He was an infant small.B)Sweet Sleep, with soft downWeave thy brows an infant crown!C)Sleep, sleep, happy sleep,While o'er thee thy mother weep.D)Sweet moans, sweeter smiles,All the dovelike moans beguiles. PLEASE HELP! WILL GIVE BRAINLIEST!!!! How is this passage point of view Someone help me out just write the answers Suppose there are 8 boys and 7 girls in a classroom. If one student is chosen at random to run a errand. What is the probability that the student will be a girl? Mr. Adams drove his delivery truck 151.2 miles during 24 days. He drove the same number of miles each day.How many miles did Mr. Adams drive each day? This battle with Mr. Covey was the turning-point in my career as a slave. It rekindled the few expiring embers of freedom, and revived within me a sense of my own manhood. It recalled the departed self-confidence, and inspired me again with a determination to be free. The gratification afforded by the triumph was a full compensation for whatever else might follow, even death itself. He only can understand the deep satisfaction which I experienced, who has himself repelled by force the bloody arm of slavery. I felt as I never felt before. 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Mr. Covey enjoyed the most unbounded reputation for being a first-rate overseer and negro-breaker. It was of considerable importance to him. That reputation was at stake; and had he sent me--a boy about sixteen years old--to the public whipping-post, his reputation would have been lost; so, to save his reputation, he suffered me to go unpunished. 1. This portion of Douglasss autobiography is probably: (a) the exposition. (b) the rising action. (c) the climax. (d) the falling action. (e) the conclusion. 2. The tone of the passage can best be described as: (a) melodramatic. (b) earnest. (c) ironic. (d) informal. (e) lyrical. 3. The phrase, "who has himself repelled by force the bloody arm of slavery": (a) personifies slavery. (b) uses metaphor. (c) uses simile. (d) draws an analogy. (e) uses onomatopoeia. 4. Mr. Covey functions as: (a) the protagonist. (b) the good guy. (c) the antagonist. (d) a neutral character. (e) an anti-hero. 5. 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The half-life of a radioisotope is the time required for one half of the amount of unstable material to degrade into a more stable material. The half-life of Carbon-14 is 5,730 years. Choose ALL the true statements regarding the Carbon-14 isotope.A) 100 grams of C-14 decays to 25 grams in 11,460 years. B) The C-14 isotope is only useful for dating fossils up to about 50,000 years old. C) A sample contained 3,360 atoms of C-14. 8 half-lives passed and 210 C-14 atoms remained. D) If an ancient bone contains 6.25% of its original carbon, then the bone must be 22,920 years old. E) A sample of 4,000 radioactive C-14 atoms undergoes decay. After 5 half-lives there are 800 radioactive atoms remaining. A box is to be made where the material for the sides and the lid cost $0.20 per square foot and the cost for the bottom is $0.05 per square foot. Find the dimensions of a box with volume 20 cubic feet that has minimum cost.Please answer in length , width and height in ft Find c in this special right triangle. *Please help its due in an hour! Are color palettes and color schemes the same thing? Expand x(4 --3.4y) show FULL work