Describe the relationship between integers and rational numbers.

Answers

Answer 1

Answer:

Integers are a subset of Rational Numbers because all Integers are Rational Numbers.

Step-by-step explanation:

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Answer 2

Answer: Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers

Step-by-step explanation:


Related Questions

What is the simplified form of square root of 45?

Answers

Answer:

I'm pretty sure the answer is C

It’s c 100% that how you would simplify in a calculator

PLEASE HELP!

Casey has 48 red peppers and 16 yellow peppers.

If Casey wants to put the peppers into baskets so that each basket has the same number of red peppers and the same number of yellow peppera, what is the greatest number of baskets he can make? How many of each type of pepper will be in each basket?

Answers

Answer:

Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.

Step-by-step explanation:

Greatest Common Divisor (GCD)

The GCD of x and y is the maximum possible number that evenly divides both of them.

For example, GCM(36,48) is 12 because 36/12 is a whole number and 48/12 is also a whole number and 12 is the greatest of all possible candidates. Note that 6 is also a common divisor (36/6 and 48/6 are whole numbers), but it's not the maximum.

Casey has 48 red peppers and 16 yellow peppers. Since he wants to put them into baskets in such a way that each basket has the same number of red peppers and the same number of yellow peppers, we must find the greatest divisor for both numbers to maximize the number of baskets.

The GCM(48,16) is 16. Number of red peppers per basket=48/16=4. Number of yellow peppers per basket=16/16=1, thus:

Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.

Paul is training for a bike race and is attempting to improve his average speed. With his old trainer, Paul averaged a pace of 20 MPH. With his new trainer, he rode at an average speed of 27 MPH. By what percent did his average speed increase?

Answers

Answer:

5.4%

Hope This Helps!

Washington Middle School has the annual musical production this weekend. Of the 900 tickets sold, 45 percent are for the Friday night performance. How many tickets were sold for the Friday night performance?

Answers

Answer:

405 tickets

Step-by-step explanation:

Answer:

45% of 900=900(0.45)=405. The third answer Is correct.

Step-by-step explanation: i took a quiz with this

An object’s speed and direction is its ________.

Answers

The answer is Velocity!

Hope this helps :)
-Rae

HELP QUICK WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

(16/81
[tex](16 \div 81)1 \div 4[/tex]

Answers

The answer would be 4/81

(fraction)

Given the graph of the absolute value function below write the function in the form?

Answers

Answer:

g(x)=|(2)(x+4)|-2

Step-by-step explanation:

B=0.5

h= -4

k= -2

Ten times a number is 36 more than four times that number. Find the number.

Answers

Answer:

6

Step-by-step explanation:

10x=36+4x

6x=36

x=6

what is the answer of the question I need urgent answer please ​

Answers

Step-by-step explanation:

therefore the answer is 25/9

Simplify the expression using the following values:
w=−4; v=5; u=2
4w² − v + 3u

Answers

Given:

w=-4v=5u=2

Step by step explanation:

Step 1:

[tex]4w² − v + 3u[/tex]

Step 2:

[tex] = {4( - 4)}^{2} - 5 + 3 \times 2[/tex]

Step 3:

[tex] = 4(16) - 5 + 6[/tex]

Step 4:

[tex] = 64 - 5 + 6[/tex]

Step 5:

[tex] = 64 + 1[/tex]

Step 6:

[tex] = 65✓[/tex]

what is - 5/6 divided by 9/10?

- 27/25
- 4/3
- 25/27
- 3/4​

Answers

4/3 would be the answer

Answer

-25/27

Step-by-step explanation:

Sean is comparing dog food prices.At pet foods store,the total weight of a bag of dog food varies directly with the number of bags.Each bag costs $46.04.another store Healthy Pets sells dog food in 50 lb bags. Each bag costs $88.45. How much would Sean save by buying a 150 lb of dog food from Pet Foods instead of Healthy pets?

Answers

Answer:

Step-by-step explained :

PLS HELP :(

Solve the inequality and graph the solution on the line provided.

Answers

Answer:

[tex]x\leq -1[/tex]

Step-by-step explanation:

1. [tex]7x\leq 7-14[/tex]

2.[tex]7x\leq -7[/tex]

3. divide both sides by 7

4. [tex]x\leq -1[/tex]

Closed circle on -1 and the line goes to the left

To save money you set aside $50. For each following month you set aside 10% more than the previous month.How much money will you save in a year? Explain each step.

Answers

A lot :) hahdinshsiskvshsknsvsudkdnhdjdjdd

will he take the job direct speech into indirect speech

Answers

Direct Speech:

Will he take the job?

Indirect Speech:

He asked whether he would take the job.

Hope it helps.ray4918 here


Carol and Linda are both selling cookies.
Carol sells her cookies for $1.25 per box, and she
already made $64.00. Linda sells her cookies for
$220 per box, and she already made $45.00. If both
of them sell the same number of boxes of cookies,
which one of the following inequalities can help you
find the least possible value of b, the number of
boxes of cookies Linda must sell so she will make
more money than Carol?

Answers

Answer:

This inequality is impossible. Assuming this is realistic, Linda cannot sell part of a box of cookies and therefore cannot make less than $220.

Step-by-step explanation:

Six of 8 stores have power drinks on sale saturday. In simplest form, what fraction of the stores has power drinks on sale saturday?

Answers

3/4 of the stores have power drinks on sale on Saturday


How many 3/4
cups of juice can be poured from 6 cups of juice?

Answers

Answer:8

Step-by-step explanation: 4x6=28

28 divided by 4 = 8

Find the product.
(36 + 4) (262 – 6 + 4)

Answers

Answer:

10,400

Step-by-step explanation:

(36+4)= 40

(262-6+4)= 260

(40)(260)= 10,400

Answer:

10,400

Step-by-step explanation:

Add 36 + 4

40

Now we do the second parentheses.

262 - 6 = 256

256 + 4 = 260

Now we multiply.

40 multiplied by 260 = 10,400

Hope I helped :)

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Iveta takes out a mortgage of $100,000 to purchase a property. The interest rate is calculated as a simple interest rate of 5% per year. How much interest would Iveta have to pay after six years?

Answers

$100 000 x 5% = $5000 x 6 = $30 000
She would pay $30 000 of interest in 6 years.

Put these numbers in order from least to greatest.

Answers

Answer:

[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3

Step-by-step explanation:

5/4 = 1.25

11/3 = 3.67

[tex]\sqrt{3} =1.73[/tex]

[tex]\sqrt{1} =1[/tex]

1.23

1.9

Numbers from least to greatest:

[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3

How could you describe the maximum the LCM between two numbers could be?

Answers

Answer:

  the product of the two numbers

Step-by-step explanation:

The LCM of two numbers is their product, divided by their GCF. If their GCF is 1, then the LCM will be their product. That is the most it can be.

__

We assume you're concerned with whole numbers. For rational numbers, the GCF may be a fraction, so the LCM may be larger than the product of the numbers.

  LCM(5, 6) = 5·6/GCF(5, 6) = 5·6/1 = 30

  LCM(1/2, 3/4) = (1/2)(3/4)/GCF(1/2, 3/4) = (3/8)/(1/4) = 3/2

Please pass this on... ( #helpsavelives )
Whoever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up I need u to live.
I wish I could take everyone's problems so yall wouldn't have to have em but I can't so just know ily and if anyone needs to talk u can talk to me

Please, pass this on. Everyone deserves to know this.❤❤
just copy and paste its not hard pls this could save someone's life

Answers

Answer:

Ive seen lots of these and just saw this one too but this actually really does help so thankyou for passing it on ily too<3

Step-by-step explanation:

The city has granted you a low property tax rate on your new hotel, and you will be paying $302,850 in taxes in the first year. After the first year, the tax you pay will then increase by 2% per year for the next 3 years. What will you pay in taxes at the end of the third year?

Answers

Answer:

the answer is $332135 for this question

Simplify this expression 1/2k^2+g-3+1/2k^2-3+2g

Answers

Step-by-step explanation:

the answer is 4 there are these steps you need to do this but I am not going to sit hee for an hour and tell you how to solve this answer so that is the answer

Answer:

THE CORRECT ANSWER IS A.

Step-by-step explanation:

What is the value of g? 18g+7=g

Answers

Answer:

The model below represents an equation. Which value of x makes the value true?

x=

Step-by-step explanation:The model below represents an equation. Which value of x makes the value true?

x=

According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mouth when sneezing is . Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze. ​(a) What is the probability that among randomly observed individuals exactly do not cover their mouth when​ sneezing? ​(b) What is the probability that among randomly observed individuals fewer than do not cover their mouth when​ sneezing? ​(c) Would you be surprised​ if, after observing ​individuals, fewer than half covered their mouth when​ sneezing? Why? ​(a) The probability that exactly individuals do not cover their mouth is nothing. ​(Round to four decimal places as​ needed.) ​(b) The probability that fewer than individuals do not cover their mouth is nothing. ​(Round to four decimal places as​ needed.) ​(​c) Fewer than half of individuals covering their mouth ▼ would would not be surprising because the probability of observing fewer than half covering their mouth when sneezing is nothing​, which ▼ is is not an unusual event. ​(Round to four decimal places as​ needed.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 [tex]P(X = 8) =  0.0037[/tex]

b

 [tex]P(X <  5) =  0.805[/tex]

c

 [tex]P(X > 6) =  0.0206[/tex]

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is [tex]p = 0.267[/tex]

Generally data collected from this study follows  binomial  distribution because the number of trials is  finite , there are only two outcomes, (covering  , and  not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable  X we have that  

   [tex]X \ \ \~ \ \ { B ( p , n )}[/tex]

The probability distribution function for binomial  distribution is  

    [tex]P(X = x ) =  ^nC_x *  p^x *  (1 -p) ^{n-x}[/tex]

Considering question a

Generally the  the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing is mathematically represented as

     [tex]P(X = 8) =  ^{12} C_8 *  (0.267)^8 *  (1- 0.267)^{12-8}[/tex]

Here C denotes  combination

So

     [tex]P(X = 8) =  495  *  0.000025828 * 0.28867947[/tex]

    [tex]P(X = 8) =  0.0037[/tex]

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

     [tex]P(X <  5 ) =[P(X = 0 ) + \cdots + P(X = 4)][/tex]

=>   [tex]P(X <  5 ) =[ ^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0} + \cdots +  ^{12} C_4 *  (0.267)^4 *  (1- 0.267)^{12-4} ][/tex]

=> [tex]P(X <  5 )  =  0.02406 +  0.10516 + 0.21067 + 0.25580 + 0.20964[/tex]

=>  [tex]P(X <  5) =  0.805[/tex]

Considering question c

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

      [tex]P(X > 6) =  1 - p(X \le  6)[/tex]

=>    [tex]P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)][/tex]

=>    [tex] P(X > 6)=1 - [^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 *  (0.267)^6 *  (1- 0.267)^{12-6} ][/tex]

=>    [tex] P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ][/tex]  

=>    [tex]P(X > 6) =  0.0206[/tex]

I would be surprised because the value is very small , less the 0.05

(a )randomly observed individuals exactly do not cover their mouth when​ sneezing

[tex]P[x=8]=0.0037[/tex]

(b) randomly observed individuals fewer than do not cover their mouth when​ sneezing

[tex]P[x < 5]=0.805[/tex]

(c)  fewer than half covered their mouth when​ sneezing

[tex]P(x > 6)=0.0206[/tex]

What will be the probability?

It is given in the question that

The probability a randomly selected individual will not cover his or her mouth when sneezing is

[tex]P=0.267[/tex]

Generally, data collected from this study follows  binomial  distribution because the number of trials is  finite, there are only two outcomes, (covering, and  not covering mouth when sneezing ), the trial is independent

The probability distribution function for binomial  distribution is  

[tex]P(x=8)=n C_X\times p^x\times (1-p)^{n-x}[/tex]

Generally, the probability that among 12 randomly observed individuals exactly 8 does not cover their mouth when​ sneezing is mathematically represented as

[tex]P(x=8)=12c_8\times (0.267)^8\times (1-0.267)^{12-8}[/tex]  

[tex]p(x=8)=495\times 0.000025828\times 0.2886794[/tex]

[tex]p(x=8)=0.0037[/tex]

Generally, the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

[tex]p(x < 5)=[p(x=0)+......+p9x=4)][/tex]

[tex]p(x < 5)=[12c_0\times(0.267)^0\times(1-0.267)^{12-0}+........+12c_4\times(0.267)^4\times (1-0.267)^{12-4}[/tex]

[tex]p(x < 5)=0.02406+0.10516+0.21067+0.25580+0.20964[/tex]

[tex]p(x < 5)=0.805[/tex]

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

[tex]p(x > 6)=1-p(x\leq 6)[/tex]

[tex]p(x > 6)=1-[p(x=6)+......+p(x=6)][/tex]

[tex]p(x > 6)=1-[12c_0(0.267)^0\times(1-0.267)^{12-0}+....+12c_4\times(0.267)^6\times(1-0.267)[/tex]

[tex]p(x > 6)=1-[0.02406+.....+0.0519][/tex]

[tex]p(x > 6)=0.0206[/tex]

Thus

(a )randomly observed individuals exactly do not cover their mouth when​ sneezing

[tex]P[x=8]=0.0037[/tex]

(b) randomly observed individuals fewer than do not cover their mouth when​ sneezing

[tex]P[x < 5]=0.805[/tex]

(c)  fewer than half covered their mouth when​ sneezing

[tex]P(x > 6)=0.0206[/tex]

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in which quadrant is the point (4,- 2) located ​

Answers

Answer:

4

Step-by-step explanation:

Grady is excavating the foundation of a house. If the hole will be
40 feet long, 24 feet wide, and 4 feet deep, how many cubic feet
of dirt must be removed from the site?

Answers

Answer:

3,840 cubic feet

Step-by-step explanation:

V=LWH

V= 40X24X4

V=3,840 cubic feet

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