2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10​

Answers

Answer 1

Answer:

0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4

Step-by-step explanation:

Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0

Example:

5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex]  can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]

All the numbers above are rational numbers

Let us find the rational numbers in our question

∵ 0 can be written as [tex]\frac{0}{1}[/tex]

0 is a rational number

∵ [tex]\frac{5}{7}[/tex] is a fraction

[tex]\frac{5}{7}[/tex] is a rational number

∵ 3.6820350285........ can not be written in the form of the fraction

   because we do not know its end (it is an approximated number)

∴ 3.6820350285........ is not a rational number

∵ -10 can be written as [tex]-\frac{10}{1}[/tex]

-10 is a rational number

0, 5/7, and -10 are RATIONAL numbers


Related Questions

It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?

Answers

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?

Answers

Answer:

96

Step-by-step explanation

4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) = 12(8) = 96

7(5 - 2)(5 - 5) = 0

- 6(5 - 3)(5 - 5)= 0

96+0-0 = 96

I need help !!!!!!!

Answers

Solution (5) :

Given , KM = 22

Then JL =

This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,

KM = JL ( the diagonals in an isosceles trapezoid are congruent )

22 = JL

JL = 22

Therefore , JL = 22 .

Solution (6) :

Given , DF = 8.7

Then , EG =

Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,

DF = EG ( the diagonals in an isosceles trapezoid are congruent )

8.7 = EG

EG = 8.7

Therefore , EG = 8.7 .

Ivan has 32 baseballs and 48 basketballs. If he wants to divide them into identical groups without any balls left over, what is the greatest number of groups Ivan can make

Answers

Here we will show you step-by-step with detailed explanation how to calculate 48 divided by 32 using long division.

Before you continue, note that in the problem 48 divided by 32, the numbers are defined as follows:

48 = dividend

32 = divisor

 

Step 1:

Start by setting it up with the divisor 32 on the left side and the dividend 48 on the right side like this:

             

 3 2 ⟌ 4 8  

Step 2:

The divisor (32) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 3 2 ⟌ 4 8  

Step 3:

Multiply the divisor by the result in the previous step (32 x 0 = 0) and write that answer below the dividend.

       0    

 3 2 ⟌ 4 8  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 3 2 ⟌ 4 8  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 6:

The divisor (32) goes into the bottom number (48), 1 time(s). Therefore, put 1 on top:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

Step 7:

Multiply the divisor by the result in the previous step (32 x 1 = 32) and write that answer at the bottom:

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

      3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (48 - 32 = 16) and write the answer at the bottom.

       0 1  

 3 2 ⟌ 4 8  

     - 0    

       4 8  

     - 3 2  

       1 6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 48 divided by 32 calculated using Long Division is:

1

16 Remainder

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time ; 1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second i think?

Step-by-step explanation:

Speed=distance over time
Distance= 70 miles
Time = 3 hours
70/3= 23.3333
Speed is approx 23.3miles per hour

The set {1,2,3,4,...} is called the set of

Answers

This is an example of a finite set

I hope this is the answer you're looking for :)


Caroline wants to buy a pair of shoes that has an original price of $50.00. She has a coupon for a 40% discount off of the original price. What is the final
cost for Caroline's shoes?
А
$10
B
$20
С
$30
ОО
D
$48

Answers

Answer:

your new should be c $20

The final cost is $30.

Option C is the correct  answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The original price of the coat = $50

Discount = 40%

Now,

The final cost.

= (100 - 40)% of 50

= 60% x 50

= 60/100 x 50

= $30

Thus,

The final cost is $30.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ6

What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?

Answers

There are 9 digits 1-9.
There is a total of 4,693 digits in the book.

What is 6√2⋅√11−2√22 expressed in simplified form?

Answers

Hope this help you!!! :))

Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it​

Answers

Answer:

yes

Step-by-step explanation:

Answer:

thank you

Step-by-step explanation:

:)

A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.

Answers

Answer:

hh

Step-by-step explanation:

JHWKHvksdhvdsjKdsk

The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222
Which toy pack has a cost of \$2.50$2.50dollar sign, 2, point, 50 per toy

Answers

Answer:

yoyo

Step-by-step explanation:

Answer: the answer is yo-yo

Step-by-step explanation:

because they say the 6-yo-yo cost 15 dollars. So if you take 6 and multiply it by 2.5 it gives you 15 dollars. Hope this helps

helpppppppppppppppppp​

Answers

how much was the second one?

Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?

Answers

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

Period of y=2tan (2x+90) -1

Answers

20 is the answer
I hope this help

Name all rays with endpoint E

Answers

Answer: Is there an image??

AE, BE, CE, and DE is the rays with endpoint E.

What is a vector?

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

Geometrical objects with magnitude and direction are called vectors.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

Given the figure,

The endpoint of all rays is E.

The rays associated with point E are;

AE, BE, CE, and DE

Hence "AE, BE, CE, and DE is the rays with endpoint E".

For more information about vector,

brainly.com/question/13322477

#SPJ2

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?

Answers

Answer:

I think it might be zero

Step-by-step explanation:

you might want to look into this all the way beforyou trust put it into*

Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?

Answers

Answer:

4

Step-by-step explanation:

Answer:

 

Step-by-step explanation:

Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on

her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,

0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the

first light is red, and let R2 denote the event that the second light is red.

a) Determine the probability that at least one light will be red. (Show how you calculate this.)

b) Determine the conditional probability that the second light will be red given that the first light is

red. (Show how you calculate this.)

c) Are the events R1 and R2 independent? Justify your answer numerically.

d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.

Answers

Answer:

Explained below.

Step-by-step explanation:

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(a)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

                                                    = P (R₁) + P (R₂) - P (R₁ ∩ R₂)

                                                    = 0.35 + 0.45 - 0.20

                                                    = 0.60

Thus, the probability that at least one light will be red is 0.60.

(b)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

                [tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.

(c)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are not independent.

(d)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are not mutually exclusive.

A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.

Answers

Answer:

The answer to this question would depend on how many teachers are available in the day care center.

If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;

2, 4, 13, 26, 52

If there are 2 teachers, each teacher will have 26 children

If there are 4 teachers, each teacher will have 13 children

If there are 13 teachers, each teacher will have 4 children

If there are 26 teachers, each teacher will have 2 children

If there are 56 teachers, each teacher will have 1 child

solve the following equation 5+7=11+7

Answers

Answer:

The equation, 5+7=11+7 solved step by step is:

5 plus 7, which equals 12.

And then, 11 plus 7, which equals 18.

You put it all together, it turns into 12=18 which isn't true.

So, your problem is not real.

Step-by-step explanation:

Your question has no answer because the two sides aren't equal.

Hope this helped! :)

Find the integers that are closest to 65 (the number in the middle)

Answers

Step-by-step explanation:

Divisors of the Positive Integer 65:

1,5,13,65

Sum of all the Divisors of 65, including itself:

84

Sum of the Proper Divisors of 65:

19

Properties of the number 65:

The integer 65 is an odd number.

The integer 65 is a Composite number.

19 is less than 65, so 65 is a deficient number.

How many proportional relationships are shown in the coordinate plane below? Please answer quick

Answers

Answer:

The answer is 1

Step-by-step explanation:

There is 1 proportional relationship in the graph

Identify the coefficients: -3h - 2h + 6h +9

Answers

Answer:

its -3h,-2h,6h

Step-by-step explanation:

hope i helped

-3h -2h +6 coefficients have verbales which are letters which is why 9 isn’t a coefficient

a child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour

Answers

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

Charlie has 468 onions to sell. He puts 12 onions in each bag, and he sells the bags for $8 each. What is the answer?

Answers

Answer:

312 $

Step-by-step explanation:

468 / 12 = 39 bags

8 x 39 = 312 $

so the answer is 312$

7 + (−3) simplify
please

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

When you add a negative number, you're basically subtracting it.

7 - 3 = 4

Hope this helps! Good luck :)

Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.

Answers

Answer: $4,201

Step-by-step explanation: 4,501 - 300 = 4,201

Answer:

d+300=4501

Step-by-step explanation:

Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.

4501-300=4201

Got a #30 question math quiz paying $10 anyone , send your socials or #

Answers

This sounds sus to me ┐( ̄ヘ ̄)┌

What’s 1 times 5 times 2?

Answers

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:1×5=5×2=10

Other Questions
orphans lonely beginnings reveal how parents shape a childs brain, part a which of the following identifies the main idea of the text which TWO phrases or sentences support the answer to Part A? What is the term for the conversion of a bitmap image to a vector image? The local recycling center sends a truck to theschool once a month to collect the paper thatwas recycled. Each month, the truck picks up642.3 pounds of paper. How much would thetruck pick up after 3 months? Which was NOT a reason immigrants came to the U.S.?Select one:a. Better Farmlandb. More Factory Jobsc. Religious Freedomd. Escape War A survey asks students to name their favorite outdoor activity. 12 students say bike riding, 8 students say climbing trees, and 5 students say swimming. Mia says that 40% olf the students say their favorite activity is climbing trees. Is she correct? Explain What was the code of hammurabi? Which option BEST explains how thermal equilibrium interacts with heat transfer between particles? aThermal equilibrium stops the transfer of energy in just one direction when both objects reach the same temperature, but allows their particles to continue transferring that energy back and forth. bThermal equilibrium always transfers energy from the hotter object to the colder one, and increases the energy and speed of moving particles in both objects as the temperature decreases. cThermal equilibrium helps the transfer of energy between the particles of some materials better than others, but always stops the transfer of energy in materials like plastic and wood. dThermal equilibrium quickly transfers energy back to the particles of the object that was originally hotter, and requires that the particles in both objects have reached equal energy and density. What is the least common denominator for the fractions 1/6and3/4? 9. An individual is diagnosed with hypertension. Which mineral should they seek to lessenconsumption of?1)Potassium2)Sodium3)Iron4)Chloride The bandgap of InP semiconductor laser is 1.0 eV. The effective mass of the valence band is of the effective mass of the conduction band. Assuming that electron hole recombination transition occurs at 0.03 eV above the bandgap, calculate the wavelength of this transition. Choose whether the following contains a conditional argument, another type of argument, or is not an argument. "Federal prosecutors will probably call a former doctor for Barry Bonds as a witness if Bond's perjury and obstruction of justice case goes to trial, according to court documents made public Thursday" (Schmidt 2007, C13). Bond's case will go to trial, so prosecutors will call a Bond's former doctor.A. Argument - ConditionalB. Argument - not ConditionalC. Not an argument pls answer asapThe First Amendment lists these rights:(select all that apply)SpeechA. PetitionB. AssemblyC. PressD. Due ProcessE. No curfewF. ReligionPlease only answer if you are 100% you have the correct answers I have been trying so hard, PLS HELPThe largest group of people in the Babylonian Empire includedA. priests and nobles.B. government officials and slaves.C. farmers, artisans, and slaves.D. builders, slaves, and soldiers. In explaining why their country is an attractive place to invest, the Minister of Commerce from Turgistan has argued that the political problems have been exaggerated and that fewer people have been imprisoned for political reasons than you have been led to believe. However, Amnesty International reports that one third of the prisoners in Turgistan are political prisoners. A representative from your company visited a prison and sampled 500 prisoners in Turgistan, concluding that 90 of them are political prisoners. Test the hypothesis, at the 5% significance level, that one third of the prisoners in Turgistan are political prisoners. Required:a. Does this data support the Minister of Commerce or Amnesty International? b. What other issues might be important when evaluating this data? Which model represents the intermediate step between glycolysis and the citric acid cycle? Hi there! Could you help me please with these 2exercises, 9 and 10, please? Allen Air Conditioning manufactures room air conditioners at plants in Houston, Phoenix, and Memphis. These are sent to regional distributors in Dallas, Atlanta, and Denver. The shipping costs vary, and the company would like to find the least-cost way to meet the demands at each of the distribution centers. Dallas needs to receive 800 air conditioners per month, Atlanta needs 600, and Denver needs 200. Houston has 850 air conditioners available each month, Phoenix has 650, and Memphis has 300. The shipping cost per unit from Houston to Dallas is $8, to Atlanta $12, and to Denver $10. The cost per unit from Phoenix to Dallas is $10, to Atlanta $14, and to Denver $9. The cost per unit from Memphis to Dallas is $11, to Atlanta $8, and to Denver $12.Required:a. How many units should owner Stephen Allen ship from each plant to each regional distribution center? b. What is the total transportation cost? A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s2Find the total distance travelled. What do I need to put down for these?