Compare and contrast natural numbers and rational numbers.

Answers

Answer 1

Natural numbers are strictly only plain numbers like no percents or integers, such as 1, 2, 3, 4, 5, 6 etc. Natural numbers are whole numbers and positive, so 0 would not be considered natural since it is not positive or negative

Rational numbers are numbers like 1, -100, .33, -10000, 2.4, etc it can be ALMOST anything, rational numbers fit every category but one IRRATIONAL

Irrational numbers are numbers like pie (3.145.......) it goes on forever and ever if the number never stops and repeats its called a repeating decimal, (HUGE TIP, IF YOU CAN MAKE IT A FRACTION IS IS ALMOST ALWAYS RATIONAL)


Related Questions

please help me on this geometry!!!

Answers

Answer:

∠ PQR = 143°

Step-by-step explanation:

∠ PQR and ∠ SQR are adjacent angles and are supplementary, thus

∠ PQR = 180° - 37° = 143°

Drag each expression to the correct location on the solution. Not all expressions will be used.

Answers

Answer:

Hey there!

[tex]8x^3+2x^2-20x-5[/tex]

[tex](8x^3+2x^2)+(-20x-5)[/tex]

[tex]2x^2(4x+1)+(-5)(4x+1)[/tex]

[tex](2x^2-5)(4x+1)[/tex]

Let me know if this helps :)

The solution of the expression are,

⇒ (4x + 1) (2x² - 5)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 8x³ + 2x² - 20x - 5

Now, We can simplify as;

⇒ 8x³ + 2x² - 20x - 5

⇒ (8x³ + 2x² )  + (- 20x - 5)

⇒ 2x² (4x + 1) - 5 (4x + 1)

⇒ (4x + 1) (2x² - 5)

Thus, The solution of the expression are,

⇒ (4x + 1) (2x² - 5)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Point E has a positive y-coordinate

Answers

Yes. Point E is on the y- coordinate and it’s might be positive side.

What is the point of comparing prices?

Answers

Answer:

To know which is better to pay.

Step-by-step explanation:

Good Luck

Select the statement that is true about the temperatures -9°F and -7°F.
A
-7°F,< -9°F because -7°F is colder than -9°F.
B
-7°F > -9°F because -7°F is colder than -9°F.
C -7°F >-9°F because -7°F is warmer than -9°F.
D -7°F <-9°F because -7°F is warmer than -9°F.

Answers

Answer:

C. -7f > -9 because -7f is warmer than -9f

Step-by-step explanation:

Process of Elimination

You can rule out B and D because the answer contradicts itself.

Previous Knowledge

We know -7f is warmer than -9f because its closer to 0 so we can rule out A

Therefore through the process of elimination you can conclude the answer is C

PLEASE HELP! What is the equation of the given quadratic function? (I'll put a picture of the graph)

Answers

Answer:

f(x)=x^2+8x+24

Step-by-step explanation:

The reason that it is the 4th one is because there is an x^2 which indicates a quadratic and it is negative because the quadratic is going down

if m<FHI=142, what are m<FHG and m<GHI​

Answers

Answers:

angle FHG = 42 degrees

angle GHI = 100 degrees

=========================================================

Explanation:

FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.

Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)

This is the angle addition postulate.

------------------

(angle FHG) + (angle GHI) = angle FHI

(3x+6) + (9x-8) = 142

3x+6+9x-8 = 142

(3x+9x) + (6-8) = 142

12x - 2 = 142

12x-2+2 = 142+2 ... adding 2 to both sides

12x = 144

12x/12 = 144/12 .... dividing both sides by 12

x = 12

------------------

Use that x value to find the angles we're after

angle FHG = 3x+6 = 3*12+6 = 36+6 = 42

angle GHI = 9x-8 = 9*12-8 = 108-8 = 100

Note how

(angle FHG) + (angle GHI) = 42 + 100 = 142

which is the measure of angle FHI. This confirms the answers.

what is the value of y in the equation 6.4x+2.8y=44.4,when x=3?​

Answers

Answer:

y = 9

Step-by-step explanation:

6.4x + 2.8y = 44.4

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4

2.8y = 25.2

y = 9

convert 12500 euros into cedis at rate of 1 euro is equal to 4.9 cedis​

Answers

Answer:

12,500 euro = 61,250 cedis

Step-by-step explanation:

1 euro = 4.9 cedis

12500 euro = 4.9 * 12500 cedis

12,500 euro = 61,250 cedis

In a class of 40 students, 30 read chemistry and 20 read physics. If all the students read at least one if the subjects, find the probability that a student selected at rand from the class reads only chemistry

Answers

hi

40 students

30 read chemistry

20 read physics

so logical deduction is that 10 read chemistry and physics.  

So only 20 read only chemistry and only 10 read only physics.  

So read only chemistry is  20/40 = 1/2

Answer as a fraction =  1/2

Answer in decimal form = 0.5

Answer in percent form = 50%

All three represent the same idea, but in a different form.

=======================================================

Work Shown:

30 read chem, 20 read physics

30+20 = 50 read either one, but this is over 40, so 50-40 = 10 students must read both

From that,

30-10 = 20 read chem only

20-10 = 10 read physics only

This makes the venn diagram you see below

Divide the number of people who read chemistry only (20) over the total number of people (40). This gives 20/40 = 2/4 = 1/2

Then you would use your calculator to find 1/2 = 0.5 = 50%

Please help 100 points please ASAP :(((

Answers

Answer:

1. line

2. line segment

Answer:

mark the other girl brainiest

Step-by-step explanation:

joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 5050 total rooms. Joe had already reserved and paid for 16 1616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 88 rooms and costs $ 900 $900dollar sign, 900. Let B BB represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 16 + 8 B ≤ 50 16+8B≤5016, plus, 8, B, is less than or equal to, 50 (Choice B) B 16 + 8 B ≥ 50 16+8B≥5016, plus, 8, B, is greater than or equal to, 50 (Choice C) C 16 + B ≤ 50 16+B≤5016, plus, B, is less than or equal to, 50 (Choice D) D 16 + B ≥ 50 16+B≥5016, plus, B, is greater than or equal to, 50 2) What is the least amount of additional money Joe can spend to get the rooms they need? dollars

Answers

The inequality expression is :

16 + 8B ≥ 50

Least amount that could be spent = $4500

The total number of rooms required should be atleast 50

Already booked = 16

Number of rooms per block = 8

If the number of blocks = B

Summing together :

Then we have :

16 + 8B ≥ 50

The leat additional amount to be spent:

(50 - 16) / 8

34/8 = 4.25

Least number of blocks, B = 5

Least amount = $900 * 5 = $4500

Learn more : https://brainly.com/question/15974141

Inequalities are used to represent unequal expressions.

The inequality that represents the scenario is: [tex]8B + 16 \ge 50[/tex].The least additional amount is $4500

Given that:

[tex]Room = 50[/tex] at least

[tex]Reserved = 16[/tex]

[tex]Rate = 8[/tex] per block

A. The inequality

Let the number of blocks be B.

"At least" means, greater than or equal to. So, we have:

[tex]Rate \times B + Reserved \ge 50[/tex]

Substitute known values

[tex]8 \times B + 16 \ge 50[/tex]

[tex]8B + 16 \ge 50[/tex]

So, the inequality that describes the scenario is:

[tex](b).\ 8B + 16 \ge 50[/tex]

B. The least amount

Solve for B in: [tex]8B + 16 \ge 50[/tex]

[tex]8B \ge 50 - 16[/tex]

[tex]8B \ge 34[/tex]

Divide both sides by 8

[tex]B \ge 4.25[/tex]

The number of blocks cannot be a decimal. So, we round 4.25 to the smallest integer greater than 4.25

This gives:

[tex]B \ge 5[/tex]

The least number of block is 5.

Given that:

[tex]Cost = \$900[/tex] per block

The least amount is calculated as follows:

[tex]Least = B \times Cost[/tex]

So, we have:

[tex]Least = 5 \times \$900[/tex]

[tex]Least = \$4500[/tex]

Hence, the least additional money is: $4500

Read more about inequalities at:

https://brainly.com/question/17675534

Which of the following interpretations for the given expression is correct?

Answers

Answer:

Step-by-step explanation:

Hello friend!!!!!

Third option is the correct answer.

Hope this helps

plz mark as brainliest!!!!!!!

Step-by-step explanation:

Hey, there!!

Option 3 is the correct answer.

here,

when we cube the sum of 5 and 3 times y^2 it looks like,

=[tex] {(5 + 3 {y}^{2}) }^{3} [/tex]

now, when we divide it by cube of the product of 4 and y we get,

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

so, answer is option 3.

Hope it helps..

23891-18939 answer pls thanks

Answers

Merhaba ;))

Answer:

4.952

#Başarılar

Answer:

4952

Step-by-step explanation:

[tex]\begin{matrix}\space\space&2&3&8&9&\textbf{1}\\ -&1&8&9&3&\textbf{9}\end{matrix}\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:\\Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\mathrm{Borrow\:}1\mathrm{\:from\:}9\mathrm{.\:\:The\:remainder\:is\:}8\\\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&10\\ \space\space&2&3&8&\textbf{\linethrough{9}}&1\\ -&1&8&9&\textbf{3}&9\end{matrix}[/tex]

[tex]\begin{matrix}\space\space&\space\space&\space\space&\space\space&8&\textbf{11}\\ \space\space&2&3&8&\linethrough{9}&\textbf{\linethrough{1}}\\ -&1&8&9&3&\textbf{9}\end{matrix}[/tex]

[tex]\frac{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&11\\ \space\space&2&3&8&\textbf{\linethrough{9}}&\linethrough{1}\\ -&1&8&9&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{5}&2\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&8&11\\ \space\space&2&\textbf{3}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\space\space&\textbf{1}&10&\space\space&8&11\\ \space\space&\textbf{\linethrough{2}}&3&8&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{\space\space}&\space\space&\space\space&5&2\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\space\space&1&\textbf{13}&\space\space&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{3}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\space\space&1&\textbf{12}&10&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{\space\space}&5&2\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{9}&5&2\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\space\space&1&\textbf{12}&18&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{4}&9&5&2\end{matrix}}[/tex]

[tex]\frac{\begin{matrix}\space\space&\textbf{1}&12&18&8&11\\ \space\space&\textbf{\linethrough{2}}&\linethrough{13}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{0}&4&9&5&2\end{matrix}}\\\\=4952[/tex]

Subtract 2 5
3 — — —
9 9

Answers

Answer:

2 2/3 or 24/9

Step-by-step explanation:

3 2/9 - 5/9 = 24/9 = 2 6/9

3*9+2 = 29/9

29/9 - 5/9 = 2 6/9

2 6/9 turns into 2 2/3

2 2/3 is equal to 24/9

Answer:

2 2/3

Step-by-step explanation:

What you do is make 3 2/9 into an improper fractions --> 9 * 3 + 2 = 29/9

29/9 - 5/9 = 24/9

So, now you're going to make 24/9 into a mixed number which is 2 6/9 --> 2 2/3

The Diplodocus dinosaur is believed to have become extinct approximately 1.38 x 108 years ago.
The Oviraptor is believed to have become extinct approximately 7 x 10 years ago. How many
years were there between the extinction of these two dinosaur types?

Answers

According to my calculations the 1.37 x 108 can not be past 35km because that is beyond or less than the universe we will all die sooner or later or in years or days or months so 1 2 3 4 - 5 + 2 x 5x 82 136- - 5347 + = e.140071763947832. 7 x 10

Theresa runs 2/7 of a mile in 1/4 of an hour. How fast does she run per hour?

Answers

Answer:

15/28

Step-by-step explanation:

please help me with this problem :))

Answers

Answer:

ONE IS DA ANSWR 1

Step-by-step explanation:

so 5/12 +5/6 simpify 5/6 you get 5/12 + 10/12 = 15/12 and 15/12 is 1 and 3/12 1/3

Esteban finds 12 baseball cards on Monday and 24 more baseball cards on Tuesday. He gives some baseball cards to his sister, and now he has 13 baseball cards left. How many cards did he give to his sister?

Answers

Answer: 23

Step-by-step explanation: he had 12 and 24 which makes 36

then he had 13 which means he gave 23 because adding them together gives the original amount

What is the decimal equivalent of each fraction, and/or the fraction equivalent of each decimal? A. 1/4 B. .625 C. 2 7/8

Answers

Answer:

A. 0.25 B. 625/1000 C. 0.875

What are the roots of the equation x ^2+ 6x + 8 = 0?

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{x = -4, -2}[/tex]

x² + 6x + 8 = 0

Factor the equation by finding two numbers that sum up to 6 and multiply into 8:

4 + 2 = 6

4 ×2 = 8

Rewrite in factored form:

(x + 4) (x + 2) = 0

Find the roots using the Zero-Product Property:

x + 4 = 0

x = - 4

x + 2 = 0

x = -2.

Therefore, the roots of this equation are at x = -4 and -2.

margo draws a triangle. The lengths of the sides of he triangle are 8 inches, 15 inches, and 17 inches. Margo uses the area of three squares to show that the triangle is a right triangle. Which of these could be the area, in square units, of a square that margo uses.

Answers

Answer:

Either of the following square values:

[tex]8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2[/tex]

Step-by-step explanation:

The three possible answers correspond to the square of the sides of the triangles via the Pythagorean theorem. And these are:

[tex]8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2[/tex]

there are infinite number of correct answers just make sure you identify what​

Answers

one example:

a=-4
b=-1
c=1
d=4

brainliest for anyone that answers correctly

Answers

Answer:

Hey there!

Your answer is close- but not quite! You chose y=10x, however, if you look closely, the cost is 10 at 2 sandwiches. Thus, the slope should be 5, and correct answer would be y=5x.

Let me know if this helps :)

Answer:

the answer should be C

big boy points for big boy question

Answers

Answer:

36[tex]\sqrt{3}[/tex] + 72

Step-by-step explanation:

The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm

The width of the rectangle = 2 radii + distance d between radii ( lower to upper )

Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6

Using Pythagoras' identity, then

d² + 3² = 6²

d² + 9 = 36 ( subtract 9 from both sides )

d² = 27 ( take the square root of both sides )

d = [tex]\sqrt{27}[/tex] = 3[tex]\sqrt{3}[/tex]

Thus width of rectangle = 3 + 3[tex]\sqrt{3}[/tex] + 3 = 6 + 3[tex]\sqrt{3}[/tex]

Hence

area = length × width

        = 12 × (6 + 3[tex]\sqrt{3}[/tex] ) = 36[tex]\sqrt{3}[/tex] + 72 mm ²

36 [tex]\sqrt{3}[/tex]+ 72

The length of the rectangle = diameter of 2 circles = 4 × 3 = 12 mm

The width of the rectangle = 2 radii + distance d between radii ( lower to upper )

Using the right triangle formed by joining the 3 centres with legs 3 and d and hypotenuse 6

Using Pythagoras' identity, then

d² + 3² = 6²

d² + 9 = 36 ( subtract 9 from both sides )

d² = 27 ( take the square root of both sides )

d =  = 3

Thus width of rectangle = 3 + 3 + 3 = 6 + 3

Hence

area = length × width

       = 12 × (6 + 3 ) = 36 + 72 mm ²

Find the value of x.
2549

Answers

360-254=106
x is subtraction and division into 2 so its
(254-106)/2=74

X - 25 is a factor of 4x^2 -100?

Answers

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Answer : [tex]\boxed{(2x + 5 ) (2x - 5)}[/tex]

[tex]4x^2-25[/tex]

Rewrite [tex]4x^2[/tex] as [tex](2^x)^2[/tex].

[tex](2x)^2 - 5^2[/tex]

Rewrite [tex](2x)^2[/tex] as [tex]5^2[/tex].

[tex](2x)^2 - 5^2[/tex]

Since both terms are perfect squares, factor using the difference of squares formula, [tex]a^2 - b^2 = ( a + b ) ( a - b )[/tex] where [tex]a = 2x[/tex] and [tex]b = 5[/tex].

[tex](2x + 5 ) (2x - 5)[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

What is the degree of
5x^2 -4x+2x^3

Answers

Answer:

This is a third-degree trinomial.

Step-by-step explanation:

To find the degree of a polynomial, simply look at the term with the highest power.  In the case of this polynomial, the term with the highest power is 2x^3 which is a third power.  Hence, this is a 3rd degree trinomial.

Cheers.

Read the paragraph. Replace each underlined noun by writing a pronoun above it.
Then, read the new paragraph.

Answers

Answer:

Step-by-step explanation:

She

She

Her

He

Their

They

They

Their

We

They

Him

use the graph to determine the domain and range of the relation and state whether the relation is a function

Answers

Answer:

the domain is {0, 1, 2, 3, 4... to positive infinity}

The range is {-1, -3, 0, -4 and so on}

this is not a function

Step-by-step explanation:

domain is a set of all x values, so just write the x values based on the graph

range is a set of all y values, so just write y values based on the graph

not function because it doesnt satisfy with the vertical line test.

i hop it help u

Other Questions
An athlete runs some distance before taking a long jump. Why ? What are the answers for these? Please help its economics Click an item in the list or group of pictures at the bottom of the problem and, holding thecorrect position in the answer box. Release your mouse button when the item is place. Factor completely and then place the factors in the proper location on the grid.x2 - 10x + 24 Which of the following statements concerning capital structure theory is NOT CORRECT?A. The major contribution of Miller's theory is that it demonstrates that personal taxes decrease the value of using corporate debt.B. Under MM with zero taxes, financial leverage has no effect on a firm's value.C. Under MM with corporate taxes, the value of a levered firm exceeds the value of the unlevered firm by the product of the tax rate times the market value dollar amount of debt.D. Under MM with corporate taxes, rs increases with leverage, and this increase exactly offsets the tax benefits of debt financing.E. Under MM with corporate taxes, the effect of business risk is automatically incorporated because rsL is a function of rsU. Define and compute opportunity cost Negative five times a number, x, decreased by the product of two and the quantity of x increased by three is less than or equal to four decreased by triple the number, x. Which of these represents the inequality needed to solve the for the number and its solution? A. The inequality is 5x2x+343x and its solution is x14 . B. The inequality is 5x2(x+3)43x and its solution is x52 . C. The inequality is 5x2x+343x and its solution is x14 . D. The inequality is 5x2(x+3)43x and its solution is x52 solve the inequality 12(1/2x-1/3)>8-2x Please help with this lesson An emotional and psychological disturbance in which children engage in exaggerated and unjustified denigration and criticism of a parent is:_______.a. divorce adjustment disorderb. divorce fault syndrome.c. parental alienation (PA).d. child retaliation syndrome (CRS). who are the two white women zora meets and why are they at her school Please answer this scientific question quickly write a story on the topic a hasty conclusion If you are first on scene, what should you do first in determining where and how should you park your apparatus? If an electron in an atom moves from an energy level of 5 to an energy level of 10:____.a. a photon of energy 5 is absorbed.b. a photon of energy 15 is absorbed.c. a photon of energy 5 is emitted.d. a photon of energy 15 is emitted. Which of the following is often confused with type of government?a) Economic systemb) Capitalismc) Ideologyd) Individual liberties Rajs bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. How does the author describe Thataka? Describe how to use project documents to help a team progress through the stages of development. five key factors that eventually led to the convening of the Constitutional Convention the process by which the surface of a microorganism is covered with antibodies and complement rendering it more likely to be