To which subset(s) of real numbers does the number -4 belong? Choose all that apply Irrational numbers Integers Whole numbers Natural numbers Rational numbers

Answers

Answer 1

Answer:

The answer is: Integers, and Rational Numbers.

Step-by-step explanation:

Answer 2

the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.

The number -4 belongs to the following subsets of real numbers:

1. Integers: Integers include all positive and negative whole numbers, as well as zero. Since -4 is a negative whole number, it is an integer.

2. Whole numbers: Whole numbers include all non-negative integers. Since -4 is negative, it is not a whole number.

3. Natural numbers: Natural numbers include all positive integers. Since -4 is negative, it is not a natural number.

4. Rational numbers: Rational numbers include all numbers that can be expressed as a ratio of two integers, where the denominator is not zero. -4 can be expressed as -4/1, where -4 is an integer and 1 is also an integer. Therefore, -4 is a rational number.

In conclusion, the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.

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Related Questions

The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by 4π? A) Irrational Numbers B) Integers C) Natural Numbers D) Rational Numbers

Answers

Answer:

Irrational Number

Step-by-step explanation:

The Venn diagram is not attached; However, the question can still be answered

Given

[tex]Number = 4\pi[/tex]

Required

What category of number is the given number

[tex]Number = 4\pi[/tex]

Substitute [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex]

[tex]Number = 4 * \frac{22}{7}[/tex]

[tex]Number = \frac{4 *22}{7}[/tex]

[tex]Number = \frac{88}{7}[/tex]

[tex]Number = 12.5714285714......[/tex]

Notice that there's .... at the end of the number;

This implies that, the decimal number still extends

Numbers like 12.5714285714...... are categorized as irrational numbers because it can't be changed back to a fraction

Answer:

A. irrational number

Step-by-step explanation:

I took the test

(-14+3/2b)-(1+8/2b)​

Answers

Answer:

[tex]\Large \boxed{\frac{-5}{2}b -15}[/tex]

Step-by-step explanation:

[tex]\displaystyle (-14+\frac{3}{2}b )-(1+\frac{8}{2} b)[/tex]

Distributing the negative sign to the terms in the bracket.

[tex]\displaystyle -14+\frac{3}{2}b -1-\frac{8}{2} b[/tex]

Grouping the like terms in the expression.

[tex]\displaystyle (-\frac{8}{2} b +\frac{3}{2}b) +(-1-14)[/tex]

Combining the like terms in the expression.

[tex]\displaystyle (\frac{-8+3}{2}b) +(-15)[/tex]

[tex]\displaystyle (\frac{-5}{2}b) +(-15)[/tex]

Answer: -10/b

Explanation:

(-14 + 3)/2b - (1 + 8)/2b
= -11/2b - 9/2b
= (-11 - 9)/2b
= -20/2b
= -10/b

Help ASAP, Brainliest to whoever answers!

Answers

Answer:

these are the ten numbers :

0 8 2 6 9 2 0 8 0 0

if bob simsim went to the cinema and brought 200g of popcorn and he ate 100g of popcorn how many grams of popcorn does he have left? ​

Answers

Answer:

He has 100 g left.

Step-by-step explanation:

We start with 200 g, then bob eats 100 g, 200-100=100 grams!

how to do this question plz answer me step by step plzz ​

Answers

Answer:

Adult's ticket is 7, child's ticket is 2

Step-by-step explanation:

Let adult's ticket be "x" and child's ticket be "y"

So, for family 1, the equation would be: 2x+3y=20

And, for family 2, the equation would be: 1x+4y=15

Use the substitution method in the second equation to know what x in terms of y is:

x + 4y = 15 (substact 4y from both sides)

x= 15 - 4y

Plugin y into the first equation:

2(15-4y)+3y=20 (distribute)

30-8y+3y=20 (simplify)

30-5y = 20 (get y by itself)

-5y = -10 (divide by -5)

y = 2

Now that you know the value of y (child's ticket), figure out x by plugging in 2 into any of the equations (I chose the second):

1x+4(2) = 15 (simplify)

x + 8 = 15 (subtract 8)

x = 7

Answer:

price of adult ticket=7 £

price of childrens' ticket =2  £

Step-by-step explanation:

let x be price for adult and y price for  for children

family 1 :  2x+3y=20

family 2:   x+4y=15

solve by eliminating : multiply equation 2 by (2) to eliminate x

2x+3y=20

2x+8y=30  

subtract the two equations:

2x+3y-2x-8y=20-30

-5y=-10

y=-10/-5

y=2( the price for children)

x+4y=15

x+4(2)=15

x=15-8

x=7 ( the price for adults)

check : 2x+3y=20

2(7)+3(2)=14+6=20

Find the product of 10n5 and 6n2

Answers

[tex]10 \times 10 \times 10 \times 10 \times 10 = 2000[/tex]

[tex]6 \times 6 = 36[/tex]

= 2036n

I need help again help me pllsssssss

Answers

Answer: you end up at (2,2)

Step-by-step explanation:

Answer:

2,2

Step-by-step explanation:

go down to the bottom right corner (5,-5)

move over left 3 boxes

and then up 7 boxes

hope this helps :P

5+2x=2x+6 please answer

Answers

If we firstly consider only the terms in x.

subtract 2x from both sides of the equation

⇒5+2x

−2x=2x−2x

+6

Observe that the x terms are eliminated and we are left with

5+0=0+6 that is 5=6 which is invalid

There is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

Given

5 + 2x = 2x + 6 ( subtract 5 from both sides )

2x = 2x + 1 ( subtract 2x from both sides )

0 = 1 ← not possible

Thus indicates the equation has no solution

I need help with this is my last one

Answers

Answer:

1. Quadrant 2

2. Quadrant 1

3. Quadrant 2

4. Quadrant 4

5. Quadrant 4

6. Quadrant 2

7. Quadrant 2

8. Quadrant 3

Step-by-step explanation:

For this problem, we just need to follow the pattern of positive and negatives associated with each quadrant.

The first quadrant (+, +)

The second quadrant (-, +)

The third quadrant (-, -)

The fourth quadrant (+, -)

Using these patterns we can state what order pair correlates to which quadrant.

(-2.5, 2.1) --> Q2

(1/2, 3/4) --> Q1

(-10, 13) --> Q2

(2.5, -5.5) --> Q4

(9, -10) --> Q4

(-12, 3.4) --> Q2

(-5/8, 5) --> Q2

(-6.4, -6.3) --> Q3

Cheers.

[tex]6\sqrt{7-11}\sqrt{7+2}\sqrt{7}[/tex]

Answers

Answer:

[tex]=36\sqrt{7}i[/tex]

Step-by-step explanation:

sqrt of 7-11=2i

simplify to [tex]6\cdot \:2\sqrt{9}\sqrt{7}i[/tex]

then sqrt of 9=3

then we simplify again to [tex]=36\sqrt{7}i[/tex]

hope this helps and if you don't mind please consider giving me brainliest

3+g=a/3h
what does a equal

Answers

Answer:

a = 3gh+9h

Step-by-step explanation:

[tex]3+g = \frac{a}{3h} \\\\Cross\:Multiply\\\\3h(3+g) = a\\9h +3gh = a\\\\a = 3gh+9h[/tex]

f(x) = 5x + 12. Find f−1(x)

Answers

Answer:

(x-12)/5

Step-by-step explanation:

Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Which measurement is closest to the side length of this canvas in inches? A. 8 in. B.9 in. C. 19 in. D. 39 in.

Answers

Answer:

B. 9 in

Step-by-step explanation:

The area covered by the fabric ([tex]A[/tex]) is represented by the following formula:

[tex]A = l^{2}[/tex]

Where [tex]l[/tex] is the side length of the canvas, measured in inches, and which is now cleared:

[tex]l = \sqrt{A}[/tex]

If [tex]A = 77.8\,in^{2}[/tex], then:

[tex]l = \sqrt{77.8\,in^{2}}[/tex]

[tex]l \approx 8.82\,in[/tex]

Which corresponds to option B.


Round 24.772 to each value listed below
Nearest tens:
Nearest tenths:
Nearest whole:
Nearest hundredths

Answers

Answer:

Nearest tens:  20

Nearest tenths:  24.8

Nearest whole:  25

Nearest hundredths: 24.77

Answer:

Nearest tens: 20 ⇔ the ones digit is 4, no rounding up

Nearest tenths: 24.8 ⇔ the hundredths is 7, need to round up

Nearest whole: 25 ⇔ the tenths digits is 7, need to round up

Nearest hundredths: 24.77 ⇔ the thousandths digit is 2, no rounding up

Hope this helps!! :)

Please let me know if you have any question

What is -5 5/8+ 3 1/2

Answers

-17/8 , -2.125 or -2 1/8

Fatima has 2 gallons of milk she wants to pour all milk into glasses which each hold 1 cup (1/16 gallon). how many cups can she fill

Answers

Answer:

32 cups

Step-by-step explanation:

1 cup= 1/16 gallon

? cup= 2 gallon ( crisscross)

⇒[tex]\frac{2*1}{\frac{1}{16} }\\ \frac{2}{\frac{1}{16}} \\2*16=32 cups[/tex]

HELP PLZ ITS FOR SCHOOL

Answers

Answer:

a)5:2

b)14

c)17

Step-by-step explanation:

The ratio for babies to nursery workers is 5:2

To find the answer to b, we find how much you have to multiply 2 by to get 35, which is 7 and multiply that by the number of workers, 2, so you need 14 workers

To find the answer to c multiply 2 bye 3.5 to get 7 and multiply 5 by 3.5 to get 17.5 now rounf down so the answer to c is 17

Answer:

a)5:2 b)14 c)17

Step-by-step explanation:

Sherry brings two containers of cookies to a party. Each container contains 6 cookies. Sally shows up with a dozen cookies. Sandy arrives with 2 cookies and 10 donuts. How many cookies will Harry need to bring if the total cookie count is 4 dozen

Answers

Answer:

22 cookies

Step-by-step explanation:

A dozen items means 12 number of items.

Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container

= 2 [tex]\times[/tex] 6 = 12

Number of cookies brought by Sally = A dozen cookies = 12

Number of cookies brought by Sandy = 2

Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26

Total number of cookies to be brought = 4 dozen = 48 cookies

Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together

48 - 26 = 22 cookies

A certain shade of lavender is created by adding 5 cups of purple paint to 8 cups of white paint. a. How many cups of purple paint should be added to 1 cup of white paint? Cups of white paint Cups of purple paint 1 8 b. What is the constant of proportionality?

Answers

Answer:

a. [tex]\frac{5}8[/tex] cups of purple paints required.

b. [tex]\frac{5}8[/tex]

Step-by-step explanation:

Given that

Number of purple paints required with 8 cups of white paint = 5

To find:

a. Number of cups of purple paint needed to be added to 1 cup of white paint ?

b. Constant of proportionality.

Solution:

Answer a. We can use unitary method here to find the number of cups of purple paint that are to be added to 1 cup of white paint.

Let us use the given statement:

8 cups of white paint require = 5 cups of purple paint

Let us divide both sides by 8:

1 cup of white paint require = [tex]\frac{5}8[/tex] cups of purple paint

Answer b.

Constant of proportionality is nothing but the ratio of two numbers which are present in a proportion.

Here, the ratio between number of cups of purple paint and number of cups of white paint is:

5:8 or [tex]\frac{5}8[/tex].

so, the answer is: [tex]\frac{5}8[/tex]

5+11n=13n help with this one too..

Answers

Answer:

n = 2.5

Step-by-step explanation:

We need to isolate n by first moving it to one side.

11n = 13n - 5

11n - 13n = -5

-2n = -5

n = -5/-2

n = 2.5

If you would like more help with math or other subjects for FREE, check out growthinyouth.org.

Answer:

n = 5/2

Step-by-step explanation:

5 + 11n = 13n

5 = 13n - 11n

5 = 2n

n = 5/2

Check:

5 + 11*5/2 = 13*5/2

10/2 +  55/2 = 65/2

Estimate the product of 41.03 x 0.513.

Answers

Answer

Roughly, it would be 20.5

The exact answer is 21.05

Step-by-step explanation:

To roughly get the estimate you round it to the nearest 1st decimal place in this case. So it'd be 41.0 x 0.5

How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) - 2
zero
one
two
infinitely many

Answers

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

Answer:

[tex]\Huge \boxed{\mathrm{infinite \ solutions}}[/tex]

Step-by-step explanation:

[tex]\sf 12x + 1 = 3(4x + 1) - 2[/tex]

Using distributive property.

[tex]\sf 12x + 1 = 12x+3 - 2[/tex]

[tex]\sf 12x + 1 = 12x+1[/tex]

Subtracting 1 from both sides.

[tex]\sf 12x=12x[/tex]

Dividing both sides by 12.

[tex]\sf x=x[/tex]

All real numbers are solutions.

There are infinite solutions.

Kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is working on. Kojo has been writing his story for ddd days. He has a total of 81 pages completed.

Answers

81= 3 times x

The second part is 81 divided by 3 which is 27 so he’s been writing for 27 days

Answer:

81= 3 times x

its right on khan.

Step-by-step explanation:

what value of x makes this inequality true?
x+9 < 4x

Answers

Answer:

X>3

Step-by-step explanation:

X+9<4X

x-x+9<4x-x

9<3x

3<x

K - 8 = -7 What is K?

Answers

Answer:

1

Step-by-step explanation:

To find the answer of a negative and a positive, you subtract and then keep the symbol of the bigger number.  So in the equation 1-8 you subtract 1 from 8, then keep the symbol of the 8 (which is a negative) since it is the bigger number.  1 minus 8 is 7, and the symbol is negative, so the answer is -7.  This makes K=1.

15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
square base and variable height h. The surface area of this box is a
function of its height. Write a function to represent the surface area.
Evaluate the function for h=6.5 in.

Answers

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

Hence, The function that represents the surface area of this box as a

function of its height is S = 32+16H where H is the height of the box

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

S = 138in²

Hence the total surface area of the box is 138in²

Solve for y.
6 = -2/9v

Answers

Answer:

: 1: Exact form : v = - 1/27

: 2 : Decimal form : v = -0.037037037037037037037037...

Step-by-step explanation: Multiply the equation to remove your variable (v) from the denominator.

I hope this helps you out.

5 pizzes are shared equally between 10 people. What fraction of a pizza does each person receive?

Answers

Answer:

1/2

Step-by-step explanation:

Victoria and her friends are going on a road trip that is 632.64 miles long. If they have 32.3 miles until their destination, how far have they already traveled? Answer in decimal form.

Answers

600.34 All you need to do is subtract and that will be your answer.

Solve for x:
9x - 3 - 8x = 7 - x
x= -7
B. x=-2
c. x = 4
D. x = 5

Answers

Answer:

x = 5

Step-by-step explanation:

[tex]9x - 3 - 8x = 7 - x\\x - 3 = 7 - x\\[/tex]

Move x's to one side, and numbers to the other.

Make it the opposite sign when you move it over. Since I'm subtracting 3, I'm going to add it to the other side, and add x. And then divide by 2 to solve for x

[tex]x + x = 7 + 3\\\\\frac{2x}{2} = \frac{10}{2}\\\\x = 5\\\[/tex]

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