What numbers are rational numbers

Answers

Answer 1

Answer:

Every integer is a rational number. Numbers like 1/2, 454/242, and -6/9 are also rational because they are fractions whose numerator and denominator are integers. All in all, a rational number is any number that can be written as a simple fraction.

Hope this helps!


Related Questions


Apply the distributive property to the expression 3(2 + x).

Answers

3(2+x)
3x2=6
3 x X =3x
So 3x+6
3(2+ x)
3x2=6
3 x X = 3x
So 3x+6

translate & solve: 616% of what number is 4620

Answers

Answer:

250

Step-by-step explanation:

1540*100 divided by 616

What is the answer for 10-6(5-2y)

Answers

Answer:

-20 + 12y

Step-by-step explanation:

Equation: 10 - 6(5 - 2y)

Step 1:

10 - 30 + 12y          Multiply (5 - 2y) by -6 (distributive property)

Step 2:

-20 + 12y            Subtract 10 by 30 (10 - 30 = -20)

Answer:

[tex]12y-20[/tex]

Step-by-step explanation:

First, we need to distribute.

[tex]= 10+(-6)(5)+(-6)(-2y)= 10+-30+12y[/tex]

Now, we need to combine these terms.

[tex]=10+-30+12y=(12y)+(10+-30)=12y+-20[/tex]

The answer is

[tex]12y-20[/tex]

Solve the compound inequality: 3x + 6 < 12 AND 6x + 24 < 12

Answers

Answer:

[tex]x < -2[/tex].

Step-by-step explanation:

It is given that [tex]3x + 6 < 12[/tex] and [tex]6x + 24 < 12[/tex].

For [tex]3x + 6 < 12[/tex],

[tex]3x < 12-6[/tex]

[tex]3x < 6[/tex]

Divide both sides by 2.

[tex]x < 2[/tex]      ...(i)

For [tex]6x + 24 < 12[/tex],

[tex]6x< 12-24[/tex]

[tex]6x< -12[/tex]

Divide both sides by 6.

[tex]x < -2[/tex]      ...(ii)

From (i) and (ii), we get

[tex]x < 2\text{ and }x<-2[/tex]

[tex]\Rightarrow x<-2[/tex]

Therefore, the required answer is [tex]x < -2[/tex].

³√1,000,000 how do I solve this expression?

Answers

Answer:

100

Step-by-step explanation:

try to write it exponentially

³√10⁶

(10⁶)^⅓

(10)^6/3

(10)^2

10x10 = 100

Find an equation of the line passing through the given points. Use function notation to write the equation. ​(​1,​-1) and ​(2​,2​) f(x) = ? PLEASE HELP!

Answers

Answer:

Good luck!

Step-by-step explanation:

Roots = 1, 2

Sum of roots = 3

Product of roots = 2

Use f(x) = ax^2 - bx + c

Therefore, f(x) = x^2 - 3x + 2

The entire collection of individuals about which information is sought is called a

Answers

Answer: u may want to look at your vocabulary

Step-by-step explanation:

anyways: The entire collection of individuals about which information is being sought is called a. population.

A triangular pyramid is sliced by a plane perpendicular to its base. Draw the cross section

Answers

Step-by-step explanation:

Kindly find attached the rough sketch of the triangular pyramid and the rough sketch of it cross section.

Basically a triangular pyramid has a triangular base. when a fictitious line is made to pass through perpendicularly to the base, the cross section that will result will still have a triangular orientation but this time a smaller one compared to the original triangular orientation or sides of the pyramid  

What is the volume of the figure?

Answers

It’s going to be the area of the triangle on the side times the length, so 0.5 x 36 x 15 x 48 = 12960

which expression is equivalent to x^6 - 5

Answers

Answer:

there are no options given

Step-by-step explanation:

A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.What is the population in the study?a. bottles of orange juice produced in the plantb. the 40 bottles of orange juice produced in the plantc. the 40 bottles of orange juice produced in the plant on june 12d. bottles of orange juice produced in the plant on june 12

Answers

Answer:

Option D - bottles of orange juice produced in the plant on june 12

Step-by-step explanation:

The population describes the data from which the sample size is gotten.

Now, we are told that A quality control manager randomly selects 40 bottles of orange juice that were filled on june 12 to assess the calibration of of the filling machine.

This means that the sample size is 40 bottles. The population from which this sample is gotten is therefore:

bottles of orange juice that were filled on june 12.

Option D is correct

If you parents made $4.00 an hour in 1980 and you make $12.00 an hour as a fryer technologist at Zippy burger today ,then you make three times as much as they did . yes ?NO?explain

Answers

If it is a strictly math question, then yes you theoretically make three times as much as your parents. Realistically, inflation and scarcity plays a large role in the actual monetary value of the dollar making it an unfair comparison. Depends on the framework of the question. Hope this helps!

find the indicated angle. Round your answer to the nearest tenth. Part 2. Show work please​

Answers

Answer:  5) 72.6°      6) 68.7°       7) 37.3°        8) 81.5°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

5) a = 27, b = 26, c = 20, A = ???

   a² = b² + c² - 2bc · cos A

27² = 26² + 20² - 2(26)(20) · cos A

729 = 676 + 400 - 1040 cos A

729 = 1076 - 1040 cos A

-311 = -1040 cos A

[tex]\dfrac{311}{1040}=\cos A\\\\\cos^{-1}\bigg(\dfrac{311}{1040}\bigg)=A[/tex]

72.6° = A

6) a = 11, b = 13, c = 12, B = ???

   b² = a² + c² - 2ac · cos B

13² = 11² + 12² - 2(11)(12) · cos B

169 = 121 + 144 - 264 cos B

169 = 265 - 264 cos B

-96 = -264 cos B

[tex]\dfrac{96}{264}=\cos B\\\\\cos^{-1}\bigg(\dfrac{96}{264}\bigg)=B[/tex]

68.7° = B

7) a = 19.2, b = 11.7, c = 16.5, B = ???

   b² = a² + c² - 2ac · cos B

11.7² = 19.2² + 16.5² - 2(19.2)(16.5) · cos B

136.89 = 368.64 + 272.25 - 633.6 cos B

136.89 = 640.89 - 633.6 cos B

-504 = -633.6 cos B

[tex]\dfrac{504}{633.6}=\cos B\\\\\cos^{-1}\bigg(\dfrac{504}{633.6}\bigg)=B[/tex]

37.3° = B

8) a = 8.8, b = 12.4, c = 14.1, C = ???

   c² = a² + b² - 2ab · cos C

14.1² = 8.8² + 12.4² - 2(8.8)(12.4) · cos C

198.81 = 77.44 + 153.76 - 218.24 cos C

198.81 = 231.2 - 218.24 cos C

-32.39 = -218.24 cos C

[tex]\dfrac{32.39}{218.24}=\cos C\\\\\cos^{-1}\bigg(\dfrac{32.39}{218.24}\bigg)=C[/tex]

81.5° = C

Enter the answer to the problem below, using the correct number of
significant figures.
125.6.1

Answers

Answer:

126

Step-by-step explanation:

because after point no. greater than 5 will definitely

be 1 no. more than that

5 4th power times 5 to the 2 power

Answers

Answer:

15625

Step-by-step explanation:

Answer:

(5⁴)(5²) or 15625

Step-by-step explanation:

When looking at a problem like this you need to look for keywords such as "Power" and "times"

5 to the 4th power looks like this 5⁴

And 5 to the 2nd power looks like this

Making this (5⁴)(5²)

But if you want the answer after that the answer is 15625

Tammy made a shirt using
1/4 yards of green fabric and
1/3 yards of red fabric. How many more yards of red fabric did Tammy use?
Write your answer as a fraction in simplest form.

Answers

1/12 is your answer! :)

The number of more yards of red fabric Tammy used will be 1/12 yards.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Tammy made a shirt using 1/4 yards of green fabric and 1/3 yards of red fabric.

Then the number of more yards of red fabric Tammy used will be

⇒ 1/3 - 1/4

⇒ (4 - 3) / 12

⇒ 1 / 12

The number of more yards of red fabric Tammy used will be 1/12 yards.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Help please no one helps me

Answers

Answer:

The answer would be B because Ms. Shah's class planted four more trees so you would subtract 36 by 4 to get your answer

How does the area of the scale drawing where 1 centimeter represents 10 miles compare to the area of a the drawing where 1 centimeter represents 30 miles? Area if 1 cm= 10 mi: square miles Area if 1 cm = 30 mi: square miles The area would be times as great.

Answers

Answer:

100 square miles900 square miles9 times as great

Step-by-step explanation:

It seems rather obvious that ...

  (1 cm)^2 ⇒ (10 mi)^2 = 100 mi^2 . . . on the first drawing

  (1 cm)^2 ⇒ (30 mi)^2 = 900 mi^2 . . . on the second drawing

The area on the second drawing is 900/100 = 9 times as great.

_____

These are the areas represented by 1 square cm on the scale drawing. If the drawing is larger, then the represented area is correspondingly larger. The ratio of represented areas is still 9 times for drawings of the same size.

x+12=7 x= needing help with this

Answers

Answer:

x=−5

Step-by-step explanation:

x+12=7

Step 1: Subtract 12 from both sides.

x+12−12=7−12

x=−5

Answer:

x = -5

Step-by-step explanation:

We subtract 12 on both sides.

After that, we got x = -5

And we're done ^^

Which problem can be solved by division of decimals? How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon? What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0? Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save? Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

Answers

Answer:

The answer is the question "Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?"

45.50 ÷ 7 = ?

As per linear equation, 4th problem can be solved by division of decimals.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1."

The given questions are:

1. How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon?

This problem can be solved by multiplication of decimals.

2. What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0?

This problem can not be solved by division of decimals. It requires addition and subtraction.

3. Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save?

This problem can not be solved by division of decimals. It requires subtraction.

4. Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

This problem can be solved by division of decimals.

Learn more about linear equation here: https://brainly.com/question/17204085

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You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch?

Please help :)

Answers

Answer:

ggtr

Step-by-step explanation:

GIMME THOSE POINTS

The temperature in a town is 28.1 during the day and -6.5 °F at night Find the difference in the temperatures

Answers

Answer:

28.1 - (-6.5) = 34.6

Step-by-step explanation:

Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6

Answer:

yeah it is 34.6

Step-by-step explanation:

the set of multiples of 8 which are greater than 20 but less than 40​

Answers

Answer:the answer would be i do believe 32

What is p multiplied by 3

Answers

Answer:

p multiplied by 3 is 3p I'm not great at explaining but that's the answer

Answer:

3p

Step-by-step explanation:

Please help. Don’t understand this math problem!!!

Answers

Answer:

1). Option (C)

2). Option (A). degree of 3 = 0

Step-by-step explanation:

A polynomial having one term is called 'Monomial' in algebraic terms.

3 is a number that is a polynomial with a single term.

Therefore, the given expression is a polynomial.

Hence Option (C) is the answer.

3 can be written as 3x⁰ (Since x⁰ = 1)

Therefore, degree of the polynomial is 0.

Option (A). degree of the polynomial = 0

label the midpoint between 6.54 and 6.55​

Answers

6.545, since it is the midpoint of 6.54 and 6.55.

Hopefully it helps!

Please mark brainliest :)

The mid - point between the numbers is 6.545.

We have two decimal numbers → 6.54 and 6.55​

We have to determine their mid - point.

You have two numbers -  'x' and 'y'. Find the mid - point between these two numbers.

The midpoint (n) between these two numbers will be -

[tex]$n=\frac{x+y}{2}[/tex]

According to the question, we have -

Number 1 → 6.54

Number 2 → 6.55

Assume the mid - point be n. Therefore -

n = [tex]\frac{6.54+6.55}{2}[/tex] = 6.545

Hence, the mid - point between the numbers is 6.545.

To solve more questions on Arithmetic mid - points, visit the link below-

https://brainly.com/question/24522033

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Find 7/8 divided by 1/3

Answers

fraction: 2 5/8

Decimal 2.625

what number increase by 25 become s 150


Answers

150-25=125
The number is 125
Hope you get it

Answer:

125

Step-by-step explanation:

n+25 = 150.

150-25= 125.

n must equal 125.

answer is 125.

I need help on graphic pls. Thank you

Answers

Answer:

k = 7/3

Step-by-step explanation:

Let's first find the equation of line AC. Since point A has an x-coordinate of 0, we know that point A is the y-intercept so when writing the equation of AC in slope-intercept form, we know that b = -2 in y = mx + b (Note that m = slope and b = y-intercept). To find m, we can use points A and C, therefore, m = (0 - (-2)) / (-2 - 0) = 2 / -2 = -1. Now, we know that the equation of line AC is y = -x - 2. To solve for k, we know that point B belongs to AC and that x = -k, y = 5 - 2k in point B, therefore, after plugging those values into y = -x - 2, we get:

5 - 2k = -(-k) - 2

5 - 2k = k - 2

5 - 3k = -2

-3k = -7

k = 7/3

Simplify (23)^–2 genuinely confused

Answers

Answer:

1/529

Step-by-step explanation:

[tex]23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}[/tex]

Answer:

1/529

Step-by-step explanation:

just done it on edge

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