Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.



plz help

Answers

Answer 1

Answer:

Explained below

Step-by-step explanation:

A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.

Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.

Now, for example let's consider the number 5.

It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c

Now, the opposite of these fractions like we are told to check in the question results in;

1/5; 2/10; 4/20; -1/-5;

The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.


Related Questions

Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.

Answers

Answer:

Step-by-step explanation:

The first one is 20%

The second one is 95%

(Can you take another picture so I can see the rest)

PLEASE HELP DUE SOON FIRST GOOD ANSWER GETS BRAINLIEST

show that x^2 + y^2 + z^2 = 3(2x-y) -1 is a sphere

Answers

Step-by-step explanation:

x² + y² + z² = 3(2x - y) - 1

x² + y² + z² = 6x - 3y - 1

x² - 6x + y² + 3y + z² = -1

(x - 3)² + (y + 1.5)² + z² = -12.25

(x - 3)² + (y + 1.5)² + z² = -(3.5)²

Since it follows the general equation form, it is a sphere.

The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second test is 6 less than the score on the first test. What is the score on the first test?

Answers

Answer:

84

Step-by-step explanation:

Let x = the test

(x + x + ( x - 6))/3=82

((3x - 6)/3) • 3= 82 • 3

3x - 6 + 6 = 246 + 6

3x = 252

3        3

x = 84

You are driving up a mountain. At the base of the mountain you see a sign that states the elevation above sea level is 3,720 feet at this point. You then travel a horizontal distance of 5 miles to the top of the mountain, and see another sign that states the elevation is 4,215 feet above sea level. What was the average slope of the mountain you just climbed in feet/mile?

A) 843 ft/mi
B) 744 ft/mi
C) 99 ft/mi
D) 0.0188 ft/mi

Answers

Step-by-step explanation:

Slope of the mountain

= Rise in height / Run in distance

= (4215ft - 3720ft) / 5 mi

= 495ft / 5mi

= 99ft/mi. (C)

Someone please help!!

Answers

Answer:

A

Step-by-step explanation:

Hi! I think the answer is gonna be B! I could be wrong but that’s what I worked it out to! Good luck on the edge thing!!

Josie packed unit cubes into a prism, as shown. Which statement about the volume of the box is true?

Answers

Also so, the answer to this is; The volume of the prism is less than 72 cubic units.

Why is this the answer?

The actually cubic units for that is actually 54 cube units which if you think is;        54 < 72

So I hope this helps. I wasn´t able to see the image but according to what I know, I think it is in one of the imagine math or something else lessons. If what im telling has nothing to do with your question, I am sorry and- I guess thats that. I really hope this helps. Bye!! ^m^

Answer:

The volume of the prism is less than 72 cubic units.

Here's what I did:

6x3x3

Which is length x height x width or it can be the other way around it really doesn't matter I think

Tell whether each angle is acute, right, obtuse, or straight.

Answers

Answer:

Right

Straight

Obtuse

Acute

IN THE ORDER YOU PUT THE PICTURE!!

Step-by-step explanation:

Answer:

The First is right, Second is Straight, Third is Obtuse and, Forth is Acute

Step-by-step explanation:

I am smart

The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
a. 3x - 4
b. 4 - 3x
c. 4x - 3
d. 3x + 4
e. 3 - 4x

Answers

a) 3x - 4

Yada yada yada

Help me pleaseeeeeeeeeeee

Answers

Answer: 990 lb

Step-by-step explanation:

t = (4 x 180) + (3 x 90)

t = 720 + 270 = 990

Use the​ four-step method in problem-solving to solve the problem.

Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each​ year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716

Answers

Answer:

A. $56,182

Step-by-step explanation:

$3131 x 14= $43834

$882 x 14= $12348

$43834 + $12348= $56,182

$56,182 x 1=  $56,182

Simplify (2 + 13) – (2 - 13)
1-m​

Answers

Answer:

26-m I think hopefully this is correct

SOME ASSISTANCE PLS M8S!!​

Answers

Answer: CHAA

Step-by-step explanation:

Victor knows that 2 + 7 = 7 + 2 and 2.7= 7.2.
He wonders if 27 = 72.
Fill in the blanks to explain whether 2 = 72.

Answers

Answer:

No 27 does not equal 72

Step-by-step explanation:27 is not even an even number but 72 is

both are x=
27. x=
28.x=

Answers

Answer:

Step-by-step explanation:

27. the sum of 2 complementary angles=90

8x-17+5x-10=90

13x=90+27

13x=117            x=9

28. the sum of supplementary angles=180

17x-12+3x-48=180

20x=180+60

20x=240

x=120

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.

Answers

Answer:

46.2

Step-by-step explanation:

46.188= 46.2

orapns of Polynomial Functions
Question 10 of 10
Which of the following is an x-intercept of the function, f(x) = x2 -5x2 - 8x +48
?
A. -4
o
B. 4
C. -2
O
D. 2

Answers

Answer:

Option B: 4

Step-by-step explanation:

From the image, the correct function is;

f(x) = x³ -5x² - 8x + 48

Now, the x-intercept occurs when y = 0.

Thus;

x³ - 5x² - 8x + 48 = 0

So we are looking for values of x that will make y = 0.

Let's try the options;

Let's try x = -4;

(-4)³ - 5(-4)² - 8(-4) + 48 = -64 - 80 + 32 + 48 = -64 ≠ 0

So, x = -4 is not an x - intercept

Let's try x = 4;

(4)³ - 5(4)² - 8(4) + 48 = 64 - 80 - 32 + 48 = 0

So,x = 4 is an x-intercept

Let's try x = - 2;

(-2)³ - 5(-2)² - 8(-2) + 48 = -8 - 20 + 16 + 48 = 36 ≠ 0.

So, x = -2 is not an x-intercept.

Let's try x = 2;

(2)³ - 5(2)² - 8(2) + 48 = 8 - 20 - 16 + 48 = 20 ≠ 0

So, x = 2 is not an x-intercept

b. (1-4) Name two obtuse
angles in the shape
below:

Answers

Answer

ADC and BDC

Explain:

Answer:

Same like other users

Is 5/9 closer to 1, 1/2, or 1?

Answers

Answer:

Closer to 1/2

Step-by-step explanation:

Half of 9 is 4.5 and 5 is .5 away from half and to make this 1 it needs to be 9/9 which is 4 away.

Answer:

1/2

Step-by-step explanation:

Half of 9 is 4.5/9, and 5/9 is closer to 4.5/9 than 9/9(or 1)

Roberto is going to the zoo! The entrance fee is $25 and each souvenir costs $3.75. He
has $40. Roberto thinks that this inequality could be use to find the number of souvenirs
he can purchase. Is he correct?
3.755 + 25 < 40
No the inequality symbol should be greater than or equal to
No it should be minus 25
No the letters should be next to the 25
yes this is correct

Answers

Answer:

yes this is correct

Step-by-step explanation:

yeah im pretty sure this is correct. im in middle school- so i have no idea what grade level this is

Leslie paid $12 for 4 books. What is the unit rate of the book purchase?

Answers

Answer: 3 dollars for a book.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

What are the slope and y-intercept of the line?
y
10
00
6
4
2
0
0
N
4
6
8
The slope is

Answers

Answer:

the slope is 4,3 and the y intercept is 2

Answer:

Niiger

Step-by-step explanation:


In one online store, 12% of the orders are placed by new customers. Let N be the number of orders
placed in a day to reach the store's first new customer. Assume each order's customer status is
independent
Find the mean and standard deviation of N.
Round your answers to one decimal place.
Mean:
orders
Standard deviation:
orders

Answers

Answer:

Mean= 8.3

Standard deviation=7.8

Step-by-step explanation:

Find the missing side or angle.
Round to the nearest tenth.
A=18°
B= 28°
b=100
a=[ ?]

Answers

360-142 and you get ur answer unless it’s not a 360 degree

Answer:

a = c2 +b2

Step-by-step explanation:

18=10000 + 784

10784 ÷ 18

599.111111 BUT ROUNDED WOULD BE 600.00

A circle has radius 50 cm. Find the area of the circle to the nearest hundredth.

Answers

Multiply by 2 which will get you a diameter and then multiply it by pi which is 3.14.

Factor 24x – 18 using the GCF​

Answers

Answer:

24x – 18

6(4x-3)is required factor.

help please asap i need this done

Answers

The answer is Y = -1/3x + 1
The answer is above

Ginger mows
3/4 acre in 1 3/4 hours. What is her unit rate of acres mowed per hour?

Answers

9514 1404 393

Answer:

  3/7 acres per hour

Step-by-step explanation:

To find acres mowed per hour, divide acres mowed by hours:

  (3/4 ac)/(1 3/4 h) = (3/4)/(7/4) ac/h = 3/7 ac/h

Ginger's unit rate is 3/7 acres per hour.

Answer: 3/7!

Step-by-step explanation:

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.4 millimeters (mm) and a standard deviation of 0.8 mm. For a randomly found shard, find the following probabilities.

a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm

Answers

Answer:

a) the required probability is 0.0013

b) the required probability is 0.0288

c) the required probability is 0.9759

Step-by-step explanation:

Given the data in the question;

let x be the thickness measurements

Given that X follows a Normal distribution with mean μ = 5.4

standard deviation σ = 0.8

then z = x-μ / σ = x-5.4 / 0.8   follows standard Normal

 

a) probability that the thickness is less than 3.0 mm

P( x<3 ) = P( x-5.4 / 0.8  <  3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013

Therefore, the required probability is 0.0013

b) the thickness is more than 7.0 mm

P( x>7 ) = P( x-5.4 / 0.8  >  7-5.4 / 0.8 ) = P( Z > 2.00)

= 1 - P( Z ≤ 2)

= 1 - 0.9772

= 0.0288

Therefore, the required probability is 0.0288

c) the thickness is between 3.0 mm and 7.0 mm

P(3< x<7 ) = P( x<7) - P(x<3)

= P( x-5.4 / 0.8  >  7-5.4 / 0.8 )  - P( x-5.4 / 0.8  <  3-5.4 / 0.8 )

= P( Z< 2 ) - P( Z < -3)

= 0.9772 - 0.0013

= 0.9759

Therefore, the required probability is 0.9759

Please solve the question below 5

Answers

Answer:

Answer is B

Step-by-step explanation:

P(x<2) - P(x<-2) = .9772 - .0228 = .9544

= 95%

Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?

Answers

Answer:

12 miles

Step-by-step explanation:

sometimes looking at the units is helpful.

How far Tristan will walk is measured in miles.

3 miles/hour * 4 hours has a unit of miles * hour/hour = miles

3*4 = 12

Answer:

12 Miles

Step-by-step explanation:

Multiply 3 by 4

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