Is negative 6 a rational number

Answers

Answer 1
Yes, 6 is a rational number because it can be expressed as the quotient of two integers
Answer 2

Yes,  negative 6 a rational number because it can be represented as a fraction of two integers.

A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not zero.

It is any number that can be written in the form "a/b," where "a" and "b" are integers and "b" is not equal to zero.

The number -6 can be expressed as -6/1.

Here, -6 is the numerator and 1 is the denominator.

Both the numerator and denominator are integers, and the denominator is not zero.

Therefore, -6 can be represented as a fraction of two integers and meets the definition of a rational number.

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Related Questions

Translate the verbal expression into an algebraic expression

Six more than the quotient of a number and 4.

Answers

Answer:

4x+6

Step-by-step explanation:

The quotient of a number and 4 translates to 4x because, "a number" in the expression is x, and it is being multiplied by 4, so you get 4x. six more than would mean adding 6. So the answer would be 4x+6. Thank you! Good Luck!

Which of the following are magnitudes for rotational symmetry of the square below about the marked point?

Choose all answers that apply:

A : 45

B : 180

C : 270

D : None of the above

Answers

CCCCCCCCCCCCCCCCCCCCC

Answer:

b

Step-by-step explanation:

that was the right answer on khan academy

hi im 7th grade and i feel like people think i smell when i do everything to not smell. i wake up take a shower with soap aplly deoderant and brush teeth. any tips

Answers

Answer:

Step-by-step explanation:

This might be a hygiene problem. What causes the unpleasant smell is the bacteria that build up on your sweaty skin and react with sweat and oils to grow and multiply when sweat reacts with bacteria on the skin. These bacteria break down proteins and fatty acids, causing body odor in the process. If deodorant isn’t good enough , I recommend perfume, the perfume smell lasts longer than deodorant I would think. But shower everyday, full clean down, but if ur hygiene is ok, I recommend going to the doctor for a checkup. Hopefully your problem will be resolved. Also use lotion.

Solve for the variable indicated
-4x-8y=36 solve for x

Answers

Answer:

x = -2y - 9

Step-by-step explanation:

First isolate the variable by putting the x on a side by itself.

-4x=36+8y (8y becomes positive when it changes sides)

Then divide the entire equation by -4 to make the x stand alone.

x = -9 -2y

Some teachers prefer the variables at the beginning of the equations so it could also read

x = -2y - 9

Hello there!

Question:-

[tex]-4x-8y=36[/tex]

We need to find the value of x.

Solution:-

[tex]\sf \longmapsto-4x-8y=36[/tex]

Firstly, Add 8y to both sides :-

[tex]\sf \longmapsto \: - 4x - 8y+8y=36+8y[/tex]

On Simplification:-

As (-) and (+) equals to (-),It Will be 8y-8y.Answer would be 0.

[tex]\sf \longmapsto \: - 4x - 0 = 36 + 8y[/tex]

[tex]\sf \longmapsto \: - 4x = 8y + 36[/tex]

Then, Divide both sides by -4:-

[tex]\sf \longmapsto \: \dfrac{4x}{ - 4} = \dfrac{8y + 36}{ - 4} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: x = - 2y - 9[/tex]

______________________________________

Henceforth the value of x is :-

[tex] \boxed{\tt \: x = - 2y - 9}[/tex]

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

2 9/10 as a decimal number

Answers

2 9/10 in decimal form would be,

[tex]2.9[/tex]

if you have any other questions like this,

let me know ill help you!!

Answer:

2 9/10=2.9

Step-by-step explanation:

We know that 9/10 is the same as 9÷10

Therefore:

2 9/10 = 2 + (9÷10)

Then using

Long Division for 9 divided by 10

we have

=2+0.9=2.9

Please give me brainliest because I worked hard on this answer and I am trying to level up

At an assembly 6 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, it 700 students were at the assembly, how many students could be expected to be carrying a backpack? pls give an answer no answer choices ASAP​

Answers

Answer:

Simple 700/10 is 70 right so multiply 6 by 70 which is 420 so 420 students out of 700. 420/700 ANSWER: 420 hope this is better

Step-by-step explanation:

write a word problem that can be modeled by the equation x + 5 = 12

Answers

Answer:

x=7

Step-by-step explanation:

x+5=12

 -5  -5

  x=7

It’s x=7 because you have to do 12-5 and that would equal to 7 so 7+5 would equal to 12

Each rectangle below has an area of 4 cm? Each square has an area of 2 cm?
If a rectangular box were made from the pattern, what would be the surface area?

Answers

Answer:

Literally any even number that’s not two or four

Step-by-step explanation:

I need a layout

HELP! have this assignment due in 30 mins and i dont know how to do this please help i have a D in this class
1 A rectangular playground has a width of 540 feet and a length of 810 feet. Martina makes a scale model of the playground using a scale of 4 cm :
30 ft .What are the dimensions of Martina’s scale model?
A135 cm by 202.5 cm
B72 cm by 108 cm
C54 cm by 81 cm
D18 cm by 27 cm

Answers

Answer:

A

Step-by-step explanation:

there are 135 '4cm' segments in 540 feet;  540 ÷ 4

there are 202.5 '4cm' segments in 810 feet;  810 ÷ 4

Help
Help
Help
Help
Help

Answers

Answer:

1.92

Step-by-step explanation:

multipy 8 by .08 to get the sales tax amount

to find the total cost (if you need it) add the sales tax to the original cost

hope it helps

Answer:

1.92

Step-by-step explanation:   niueikieoewdn4u

The ladder of a fire truck extends 41 ft. to the top of the
building. If the distance between the wall and the base of the
ladder is 9ft. How tall is the building?

Answers

Answer:

Step-by-step explanation:

By the Pythagorean Theorem a^2+b^2=c^2 or the sum of the squared sides is equal to the hypotenuse squared.

41^2=9^2+h^2

h^2=41^2-9^2

h^2=1600

h=40 ft

Can anyone help me please

Answers

Answer:

y = 120

Step-by-step explanation:

y = 4x (corresponding angles)

y + 2x = 180

substitute the value of y into the second equation

4x + 2x = 180

6x = 180

x = 30

now that we have the value of x, plug it into either equation and solve for y

y = 4 (30)

y = 120

Niles scored 70, 74, 72, 71, 73, and 96 on his 6 Geography test. Calculate the mean and median.

Answers

Answer:

Mean=76

Median=72.5

Step-by-step explanation:

Mean= 70+71+72+73+74+96

                         456/6=76

Median = 70,71,72,73,74,96

               72+73=145/2=72.5

Mean= 76

Median= 72.5

The first step is to rearrange the numbers

70, 71, 72, 73, 74, 96

1. mean= sum of terms/number of terms

= 70+71+72+73+74+96/6

= 456/6

= 76

2. Median can be described as the middle number, the median can be calculated as follows

= 72+73/2

= 145/2

= 72.5

Hence the mean is 76 and the median is 72.5

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if the water bill costs 487.75.and the electict bill costs 952.50.how much will be needed to pay for the bill?
1.what is asked?
2.what are given?
3.what operation will be used?
4.what is the number sentence?
5.what is the sulotion and answer?

Answers

1. it is asked to find how much will be needed to pay for the bill

2. 487.75 952.50

3. multiply

4. I don't know

5. 487.75 multiplied by 952.50 equals 464,581.875

Which of the values below will make 3+x=21 true

Answers

Answer:

x=18

21-3=18

Step-by-step explanation:


[tex]\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } [/tex]
can someone please solve this?

Answers

Answer:

[tex]\boxed{\textsf{ The value of x is \textbf{ 8 + 6}$\sqrt{3 }$.}}[/tex]

Step-by-step explanation:

Here we are given a equation which we need today simplify and solve for x .The given equation to us is :-

[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } [/tex]

Let's simplify the equation :-

[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}-\dfrac{2}{-(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}+\dfrac{2}{x-\sqrt3}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3(x-\sqrt3)+2(x+\sqrt3)}{(x+\sqrt3)(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3x-3+2x+2\sqrt3}{x^2-3}\\\\\sf\implies 1=\sqrt3x-3+2x+2\sqrt3 \\\\\sf\implies \sqrt3x+2x = 4-2\sqrt3\\\\\sf\implies x(\sqrt3 +2)=4-2\sqrt3\\\\\sf\implies x =\dfrac{4-2\sqrt3}{\sqrt3+2}\\\\\sf\implies x =\dfrac{ (4-2\sqrt3)(\sqrt3-2)}{(\sqrt3+2)(\sqrt3-2)}\\\\\sf\implies x =\dfrac{-8-6\sqrt{3}}{3-4}\\\\\sf\implies \boxed{\pink{\sf x =8+6\sqrt3}}[/tex]

1/8 and 9/5 common denominator and solve the problem ​

Answers

Answer:

Step-by-step explanation:

You haven't stated a problem. Do you want to add the fractions together? Subtract them?

Least common multiple of 8 and 5 is 40.

1/8 = 5/40

9/5 = 72/40

1/8 + 9/5 = 5/40 + 72/40 = 77/40 = 1 37/40

I am not understanding this topic in math and I have a huge test tomorrow and I need to sleep, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️

Answers

Answer: (-3,-4)

Step-by-step explanation:

If the any x variable is repeated, it is not a function!

AUVW - APOR
W
63
U
V
77
P
66
R
?
2
Q
SOMEONE PLS HELP.

Answers

Answer:

x = 54

Step-by-step explanation:

Since both triangles are similar, therefore,

[tex] \frac{UV}{PQ} = \frac{VW}{QR} [/tex]

[tex] \frac{77}{66} = \frac{63}{x} [/tex]

[tex] \frac{7}{6} = \frac{63}{x} [/tex]

Cross multiply

[tex] 7*x = 63*6 [/tex]

[tex] 7x = 378 [/tex]

Divide both sides by 7

x = 54

Shannon rode her bike 6 miles in 24 minutes. Find her average rate in miles per hour.

HELP!

Answers

Answer:

.25 Mph

Step-by-step explanation:

6 divided by 24

=

0.25

this year a farmer planted 300 acres of corn. this was 1.5 times as many acres as he planted last year. how many acres did he plant this year?​

Answers

x • 1.5 = 300

So...

300/ 1.5 = 200

He planted 200 acres last year

Can someone help me with this please?

Answers

Answer:3:7

Step-by-step explanation:

A Ferris wheel has a radius of 37 feet. The bottom of the Ferris wheel sits 0.6 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise.

Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position, a.
f(a)=

Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s.
g(s)=


Answers

Answer:For the first one, it should be f(a)=37.8(1-cos(a))+.7. My dearest apologies because I do not know why. I just used context from the previous questions. I hope that helps..!

Step-by-step explanation:

The height of the given Ferris wheel can be described with the aid of a

sinusoidal function.

The height above the ground in terms of the angle turned, a, is

presented as follows;

[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]

The height above the ground in terms of the distance traveled, s, is

presented as follows;

[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]

Reason:

The general form of an equation of a Ferris wheel is presented as follows;

f(a) = A·sin(a + C) + D

Where, the amplitude, A = The radius = 37 ft.

D = The midline = Height above the ground + The amplitude

D = A + 0.6 = 37 + 0.6 = 37.6

The 6 O'clock is the lower most position, therefore, at the start, where, 'B·t + C' = 0, we have;

f(a) = A·sin(0 + C) + D

Therefore

f(a) = 37·sin(0 + C) + 37.6 = 0.6

f(a) = 37·sin(C) = 0.6 - 37.6 = -37

[tex]sin(C) = \dfrac{-37}{37} = -1[/tex]

C = sin⁻¹(-1) = [tex]-\dfrac{\pi}{2}[/tex]

The equation of Ferris wheel is presented as follows;

Which gives the equation of the height above the ground (in feet) in terms

of the number of radians, a, you have swept out from the 6 O'clock

position is given as follows; Ferris ;

[tex]\underline{f(a) = 37 \cdot sin \left (a - \dfrac{\pi}{2} \right) + 0.6}[/tex]

Part 2

s = a·r = a·A

Therefore;

[tex]a = \dfrac{r}{s} = \dfrac{A}{s} = \dfrac{37}{s}[/tex]

Plugging the value of s into the above equation gives the function that

determines the height above the ground (in feet) in terms of the number of

feet traveled g(s) as follows;

[tex]\underline{g(s) = 37 \cdot sin \left (\dfrac{37}{s} - \dfrac{\pi}{2} \right) + 0.6}[/tex]

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To have 50,000 in 5 years, how much should you invest if the compound interest is 5%?​

Answers

ANSWER

47,500

STEP BY STEP:

for the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
14. distance to the closest movie theater
16. number of competing computer spreadsheet software packages

Answers

Answer:

14: quantitative continuous

16: quantitative discrete

Step-by-step explanation:

Distance can be any non-negative real number, hence it is continuous.

The number of packages has to be a positive integer, hence is discrete.

A principal of ​$7000 is invested in an account paying an annual rate of 7%. Find the amount in the account after 5 years if the account is compounded​ semiannually, quarterly, and monthly. (a) The amount in the account after 5 years if the account is compounded semiannually is? (Round to the nearest cent.)

Answers

Answer:

$2,874.19

Step-by-step explanation:

Hope this helps

Please help!! Brainliest for right answer!!

Answers

Answer:

(f o g)(x) = 4x^2 - 8

Step-by-step explanation:

(f o g)(x) = f(g(x))

f(x) = x^2 - 8

g(x) = 2x

f(g(x))

f(2x) = (2x)^2 - 8

       = 4x^2 - 8

(f o g)(x) = 4x^2 - 8

1/3 of 5/8 as a fraction

Answers

Answer: how are you doing this tho

Step-by-step explanation:

The 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

1/3 of 5/8 as a fraction

Let x be the fraction:

x = 1/3 of 5/8

Or

x = (1/3)(5/8)

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

After multiplication:

x = 5/24

Thus, the 1/3 of 5/8 as a fraction is 5/24 after applying the arithmetic operation the answer is 5/24.

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The sum of the speeds of two trains is 718.4 miles per hour. If the speed of the first train is 3.6 mph faster than that of the second​ train, find the speeds of each

Answers

Answer:

the answer is 359.7

Step-by-step explanation:

Find the perimeter of the shape on the grid pls help

Answers

Answer:

16.4

Step-by-step explanation:

I'm going to be honest, I don't really know how to explain this one. But the website GeoGebra can help with finding perimeter of shapes. You have to play around with it a bit to figure it out though.

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