To which rational number to which rational subset(s) does the following number belong?
15
1. Rational Numbers
II. Natural Numbers
III. Whole Numbers
IV. Integers

Answers

Answer 1

Answer:

15 belongs to the set of natural numbers , whole numbers , integers & rational numbers.

Step-by-step explanation:

TO FIND :-

those subsets to which 15 belongs

FACTS TO KNOW BEFORE SOLVING :-

N = Set of all natural numbers

W = Set of all whole numbers

Z = Set of all integers

Q = Set of all rational numbers

It can be said that :-

N ⊂ W (∵ Whole numbers include all natural numbers along with 0)W ⊂ Z (∵ Integers include positive numbers i.e. whole numbers along with negative numbers.)Z ⊂ Q (∵ Rational numbers include all integers along with fractions.)

Hence , N ⊂ W ⊂ Z ⊂ Q

SOLUTION :-

Method 1 -

{15} ⊂ N (∵ 15 is an element of set N. {15} a singleton set & it can be called as the subset of N )

⇒ {15} ⊂ N ⊂ W ⊂ Z ⊂ Q

∴ 15 belongs to the set of natural numbers , whole numbers , integers & rational numbers too.

Method 2 -

A rational number is a number which can be expressed in "p/q" form where p,q are integers & q ≠ 0. 15 can also be expressed as [tex]\frac{15}{1}[/tex]. Hence, 15 is a rational number i.e. it belongs to the set of rational numbers.Natural numbers are the countable numbers. 15 is a countable number. So , 15 is a natural number i.e. 15 belongs to the set of natural numbersWhole numbers include all natural numbers as well as zero. 15 is a natural number. So , 15 is also a whole number i.e. 15 belongs to the set of whole numbers.Integers include the negative numbers as well as whole numbers. 15 is a whole number. So , 15 is also an integer i.e. 15 belongs to the set of all integers.

Related Questions

Marcus bought a booklet of tickets to use at the amusement park. He used 50% of the tickets on rides, 1/3 of the tickets on video games, and the rest of the tickets in the batting cage. Marcus says he used 10% of the tickets in the batting cage. Do you agree? Explain.

Answers

Answer:

No, i dont agree as 1/3 in percentage is 33%

33+50=88

100-88=12

Meaning that he used 12% of the tickets in the batting cage.

los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla

Answers

Answer:

carretilla

Step-by-step explanation:

la carretilla se encontraba a unos 18 metros de altura

Five less than the product of 8 and y

for 30 points

Answers

Answer:

3 I think hope it helps.

Step-by-step explanation:

only ⌛ will tell

Answer:

8y-5 isn't realy a question tho...

Step-by-step explanation:

Guys help me I need to write a function rule but the equation format is mx+b

Answers

Answer:

y = 4x + 4

Step-by-step explanation:

2 points:

(-1, 0) and (0, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4-0)/(0+1)

m= 4/1

m= 4

Slope-intercept:

y - y1 = m(x - x1)

y - 0 = 4(x + 1)

y = 4x + 4

Estimate the solution to the following system of equations by graphing. 3x + 5y = 14
6x - 4y = 9

Answers

Step-by-step explanation:

hope helps u

have a nice day

Find the surface area of the triangular prism below. The bases each have an
area of 6 cm2 and a perimeter of 12 cm, and the altitude is 6 cm.
6 cm
A. 84 cm
B. 24 cm
C. 40 cm
D. 60 cm

Answers

Answer:

A. 84 cm²

Step-by-step explanation:

Surface area of triangular prism = 2(base area) + (Perimeter)*height of prism

Base area = 6 cm² (given)

Perimeter = 12 cm

Altitude = height of prism = 6 cm

Plug in the values into the formula

Surface Area of triangular prism = 2(6) + (12)*6

= 12 + 72

= 84 cm²

Can anyone do this two question for me it’s test just have 15 minutes please do quick god bless you

Answers

Order
Translation
Reflection
Rotation

Select the correct answer.
This table represents a quadratic function.
х
у
1
3
3
-3
5
-5
7
بل انبا
9
Which statement about this function is true?
O A. The value of a is negative, so the vertex is a minimum.
ОВ. The value of a is positive, so the vertex is a minimum.
OC. The value of a is positive, so the vertex is a maximum.
OD. The value of a is negative, so the vertex is a maximum.
I

Answers

Answer:

B ;)

Step-by-step explanation:

Anyone with common sense would know

Mark this as branlist

b, it’s the realist yuhhh

The length of a rectangle is 10 more than the width. If the
area is 24 square inches, what are the dimensions?

Answers

Answer:

Dimensions : L = 12 inches, Width = 2 inches

Step-by-step explanation:

Let width be w

Let length be w + 10

Area = length x width

24 = w x (w + 10)

[tex]24 = w^2 + 10w\\\\w^2 + 10w - 24 = 0\\\\w^2 +12w -2w -24 = 0\\\\w(w+12) -2(w+12) = 0\\(w-2)(w+12)=0 \\w = 2 , -12[/tex]

Since width is a side of a rectangle , it cannot be negative. so w = 2 inches .

Therefore , length = w + 10 = 12inches

A is 150m 2 miles long Directional signs are posted along the trail every 1/3 mile. How many signs are posted along the trail?

Answers

Cjdjjsjvjrksowowkakfjdjkakskek

the parabola y=-x^2+12x-11 has an axis of symmetry of x=6. which of the following represents its range?
1) y>-11
2)y<25
3)y<6
4)y>10

(all of the ">/<" are underlined ones)

Answers

Answer: 1) y>-11

Step-by-step explanation:

A bag contains seven red marbles and three blue marbles. You randomly pick a marble and then return it to the bag before picking another marble. Find the probability that both the first and second marbles are red.

Answers

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

Can Some One Help Me. Plz

Answers

Answer:

$16,000

Step-by-step explanation:

This is because 5 is the thousand place and the hundredth place is more than 5 so, it rounds up (to 16000)

Feel free to mark this as brainliest :D

Answer:

16,000

Step-by-step explanation:

15,827

8 is greater than 4 so you round up

5 turns to 6 and everything to the right turns to 0

So the answer is 16,000

Use the picture to answer the questions.

What is the value of x in the figure?

Answers

Answer: b

Step-by-step explanation:

10 + 50=60

60+30=90

You are correct the answer is B

Answer : C


60+30=90

30 degrees was already taken up so if it went up 60 degrees more then it would be 90 degrees.

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

Positive number: Elevation of a mountain above sea level, growth of a plant, money saved. Negative number: Temperature colder than 0.

Step-by-step explanation:

Elevation of a mountain that is above sea level is positive since it isn't below sea level, which would be negative, you are increasing as you go up. Growth of a plant is positive since it isn't growing shorter. Money saved since you aren't spending it. Temperature colder than 0 because that is when the negative numbers start to occur.

Answer:

Step-by-step explanation:

the first box goes in negative, second box in positive, third box in negative, and fourth box in positive.

* But for the first box i’m not completely sure, hope this helped.

What is its equation in slope-intercept form ?

Answers

Answer:

Candice

Step-by-step explanation:

Randy wants to save $21 to buy a basketball he saved $7 each week which array represents the number of weeks randy needs to save $21

Answers

Answer:

he will have to save $7 for 3 weeks to get $21

Step-by-step explanation:

If someone helps me with all of them i will mark them as brainliest​

Answers

Answer:

Step-by-step explanation:

1.  (a) 24 X 3/4= 18 multiplication

you have to multiply to get a smaller answer since you are using a fraction.

2. (a) 24 / (-3/4)= -32 division

you have to divide to get a bigger number than started since you are using a fraction

3. (A) 12-15= -3 subtraction

when you subtract a bigger number than the first number you end up normally with a negative number

4. (a) 12 -(-15) subtraction

when you subtract with a negative number you distribute so the two negatives cancel out and it become an addition sign. (if you look at it the two negatives and the parenthesis looks like an addition sign (+)

5. (A) -18 / (-3/4) =24 division

when you divide two negative values you will always get a positive answer. And again dividing a fraction will get you a bigger answer.

If 3/4 of an inch on a map is equal to 45 miles , what does 1 inch represent?

Answers

Answer:

60 miles

Step-by-step explanation:

if 45 = 3/4

divide 45 by 3 = 15

15 * 4 = 60

Can someone help me with this work ???

Answers

Answer:

bottom left

Step-by-step explanation:

bottom left bc it says shade in 36% and the shaded squares give up a total of 36 squares

The probability of tails of a weighted coin is 0.58. The number of tails is noted each of the 25 times the coin is tossed. If this procedure is repeated 150 times, what type of distribution is simulated

Answers

Answer:

It is a  sampling distribution of the sample proportion for which n = 150 and p = 0.58

Step-by-step explanation:

Given -

Probability of tails of a weighted coin = 0.58

Number of tail is noted each 25 times

Repetition of procedure = 150 times

mean =  p = 0.58

SD = Sqrt {p(1-p)/n}

Substituting the given values, we get -

SD = Sqrt {0.58(1 – 0.58)/150}

=  0.04029

It is a  sampling distribution of the sample proportion for which n = 150 and p = 0.58

Answer:

The options are not given so these are the options:

- A binomial distribution with n = 25 and p = 0.58

- A binomial distribution with n = 2 and p = 0.58

- A sampling distribution of the sample proportion with n = 25 and p = 0.58  

- A sampling distribution of the sample proportion with n = 150 and p = 0.58

- There is not enough information to determine the distribution.

Step-by-step explanation:

The answer is - A binomial distribution with n = 25 and p = 0.58.

I got it right on my test.

Good luck!

Tessellations

Determine whether the given figure tessellates the plane.

a. yes
b. no

Please select the best answer from the choices provided

Answers

Answer:

A. Yes

Step-by-step explanation:

I calculated it logically

Yes the given figure with triangular tessellates the plane.

All triangles tessellate.

The picture works because all three corners (A, B, and C) of the triangle come together to make a 180° angle - a straight line.

This property of triangles will be the foundation of our study of polygon tessellations, so we state it here: The sum of angles of any triangle is 180°.

Yes, the given figure tessellates the plane.

Hence, Yes the given figure tessellates the plane.

To learn more on triangles click:

https://brainly.com/question/2773823

#SPJ7


describe how to use the
Equality of Bases Property to solve an equation
with an exponent

Answers

Answer:

Step-by-step explanation:

To solve exponential equations with same base, use the property of equality of exponential functions . If b is a positive number other than 1 , then bx=by if and only if x=y . In other words, if the bases are the same, then the exponents must be equal.

HELP HELPP PLEASEEEE!

Answers

the length is b 12 !

Answer:

Step-by-step explanation:

volume of pyramid with square base=a^2(h/3)

84=a^2*7/3

84*3/7=a^2

252/7=a^2

36=a^2

[tex]\sqrt{36[/tex]=a

6=a

therefore length=6

Helpppppp me right now!

Answers

Answer:

B and D

7/12 cups

Step-by-step explanation:

2 1/3 + 2 1/4 = cups of flour needed

4 = cups of flour had

2 1/3 + 2 1/4

To have the same denominator, we take the lcm

2 + 2 + (4/12 + 3/12) =

2 4/12 + 2 3/12 - 4

Or

2 + 2 + (3 + 4) / 12 - 4

2 + 2 + (3 + 4) / 12 - 4 = 4 7/12 - 4

4 7/12 - 4 = 7/12 cups of flour needed

Find the
area of the parallelogram.

Answers

The area of this parallelogram is:

10 unit²

Answer:

10 units

Step-by-step explanation:

2x5

HELP ME PLEASE I DONT KNOW WHAT THIS IS!!!!!

Answers

Answer:

A

Step-by-step explanation:

MArk me brainliest! pls :)

HELP ME PLEASE! 20 POINTS!

Answers

Answer:

1 no answer=1/100

2 no answer=1/100

3 no answer=100

Step-by-step explanation:

1: 1/100
2: 1/100
3: 100

Х
What is the solution to the equation 3+ 6 + 2?
3
X = 2
7
X = 3
x= 3
x = 7
Please help

Answers

Answer:

hope this help you a lot

good luck

Which problem can be solved using the equation below?

Answers

Answer:

Mr. peter puts 24 students into groups of 8. How many groups are there?

Step-by-step explanation:

Whenever the word "groups" is used, it typically means to divide. Because we see the word "groups", it would be reasonable to assume that you will be dividing something.

Other Questions
From the following data ,determine of formation for diborane(B2H2(g), at 25 B2H2(g) 3O2(g)(B2O3(S)3H2O(g) ,=-1941kJ2B(s) O2(g) (B2O3(s) ,=-2368 kJH2(g) O2(g) (H2O(g) , =-241.8 kJ 10 points please help Singh, a consumer, leases sheet music from Tunes Inc. for a public performance. United Music Corporation, which holds a copyright on the music, sues Singh to stop the performance without a royalty payment. Singh fails to notify Tunes of the suit within a reasonable time. The lessee:_________a. loses any remedy against the lessor for liability established in the suit. b. can assert this failure to delay the litigation, but it is not a defense. c. can raise the failure to notify as a defense in copyright holders suit. d. can sue the lessor to recover the expenses of the suit. Essay on Why should health care be free ? Simplify:B^4 . B^3^ = means Im squaring it. mentioned some good points about commerce subject in grade 12?? Please HELPP with this question Jerome started seeking psychotherapy in 1970. At the time, he laid on a couch and the therapist sat behind him taking notes. He was encouraged to speak freely without restriction. His therapist tried to help him resolve intrapsychic conflicts. The orientation of his therapist was most likely:__________A. Rational emotiveB. PsychodynamicC. cognitiveD. behavioral Why is it important to learn Arabic and Spanish? When was the Declaration of Independence created?A.Before the revolutionary war began B.During the Revolutionary WarC.After the revolutionary war concludedD.Several years prior to the start of the conflict Question is on the image impact of collusion in terms of output and price on consumers and producers The formula for the area of a triangle is A = = { bh. Find the area of a triangle with a base (b) of 7 feet and a height (h) of 12 feet. what should be the price of each toaster if the company wants to make a profit of 42$ per toaster? HELPPPPPPPPPPPPPPPPPPPP what is the value of b? If the measure of angle A=55 degrees, b=12, and c = 7 then find the measure of angle B. Help please!!ASAP What problems do you g people have in the United States? Which of the following values of m will result in a true statement when substituted into the given equation?m 1.9 = 2.2 A. m = 2.8 B. m = 3.8 C. m = 4.1 D. m = 4.9 Yes invests $1500 that compounds interest monthly with a 4.5% rate. How much money will he have after the 12 years?