1) Give an example of a rational number AND an irrational number.
What is the difference between them?

2) What is the decimal equivalent of your two examples?

3) Can every repeating decimal be written as a rational number? Explain why or why
not.

Answers

Answer 1

Answer:

Step-by-step explanation:

A rational number is one that can be expressed as a fraction. Pi cannot be. If I tell you that the 2000th digit of pi is an 8 (which it probably isn't) and I ask you to tell me the 2001 value of pi, you have no better odds that 1/10 of getting it right.

A rational number can always be reduced to a fraction. 20 1/2 can be expressed as a fraction. It is 20.5

Pi is irrational. I don't know the value of pi beyond what a calculator can tell me.  3.14159265 The next digit is a 4. I know this only because that is what the calculator tells me.

Repeating decimals call always be represented as a fraction. For ex

x = 0.123123123123123

1000x = 123.123123123123

       x =       .123123123123123      Subtract

999x = 123

This comes about because in both cases what is after the decimal is the same.

x = 123/999 = 41/333


Related Questions

Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?​

Answers

Answer:

75°

Step-by-step explanation:

A car travels 76 km in 47 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place

Answers

Answer:

97km/h to 1dp

Step-by-step explanation:

47mins is 0.783 of an hour

76km/0.783 = 97.0212km/h

Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, "I can't believe I paid 125% of what you paid, Han!" Is what she said true? Explain. 14.3

Answers

say the price of the item is $10
clare bought it for 10 dollars and Han bought it for 8 dollars
you can set up a proportion 10/8 = x/100 and solve
1000 = 8x
125 = x
so yes, she was correct in saying this

Answer:

Step-by-step explanation:

e

G
A scale drawing is made to enlarge a picture by using a scale factor of 3. The enlarged picture is 9 inches by 15 inches
What are the dimensions of the original picture?
x
O 3 inches by 5 inches
O 3 inches by 15 inches
O 6 inches by 12 inches
O 27 inches by 45 inches

Answers

Answer:

3 inches by 5 inches

Step-by-step explanation:

You have to divide the numbers 9 and 15 by 3

9÷3=3

15÷3=5

So that means it is 3 inches by 5 inches

Answer:

3 inches by 5 inches

Step-by-step explanation:

You have to divide the numbers 9 and 15 by 3

9÷3=3

15÷3=5

So that means it is 3 inches by 5 inches

I need help with this question

Answers

Answer:

The answer would be YES, it is a dialation

Step-by-step explanation:

28,46,25,76,18,25,47,83,44 what's the median,first quartile,third quartile, and interquartile range

Answers

Answer:

median: 44

first quartile: 25

third quartile: 61.5

interquartile range: 36.5

Step-by-step explanation:

For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

What is the interquartile range?

The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.

Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1

The given date set is 28,46,25,76,18,25,47,83,44.

The data in order 18,25,25,28,44,46,47,76,83.

Here,

Median =44

First quartile=Q₁=25

Third quartile=Q₃= (47+76)/2

= 61.5

Now, interquartile range (IQR)

= Q₃-Q₁

= 61.5-25

= 36.5

Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

Learn more about the interquartile range here:

https://brainly.com/question/4135956.

#SPJ5

Does the system shown always, sometimes, or never have a solution when a >b?
ax+y=8
bx + y = 5
always
sometimes
O
never

Answers

Answer:

sometimes

Step-by-step explanation:when a >b?

ax+y=8

bx + y = 5

always

sometimes

O

never

Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?

A.
Yes, she is correct.

B.
No, Lisa forgot the factor 4.

C.
No, Lisa forgot the factor 8.

D.
No, Lisa forgot the factor 18.

Answers

Answer:

I think the Answer is ( B. No Lisa forgot the factor 4.)

Step-by-step explanation:

Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10

Answers

They will have to drive 11.9 more miles

Apply the distributive property to factor out the greatest common factor. 44+48=44+48=44, plus, 48, equals

Answers

2040

&Go do no cheat or dis

Answer: 4(11+12)

Step-by-step : don't ask why I'm even answering this

The nature park has a pride of 6 lions and 4 cubs. The adults eat 9 pounds of meat each day and the cubs eat 3 pounds. Simplify 6 × 9 + 4 × 3 to find the amount of meat consumed each day by the lions.

Answers

Answer:

66

Step-by-step explanation:

6 × 9 + 4 × 3

We use PEMDAS to determine the order in which the mathematical operations would be carried out.

PEMDAS is an acronym for Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

Multiplication comes first so;

6 × 9 + 4 × 3

54 + 12

We can then add both numbers.

54 + 12 = 66

Julissa works in the warehouse of a large online retailer. On Tuesday from 9:00 a.M. To 3:00 p.M., she found that she had walked 20,458 steps preparing orders to be shipped. Approximately how many steps did she walk each hour

Answers

Answer:

Approximately [tex]3410[/tex] steps each hour.

Step-by-step explanation:

Given: On Tuesday, Julissa worked from 9:00 A.M. to 3:00 P.M.

Julissa had walked [tex]20,458[/tex] steps preparing orders to be shipped.

To find: Number of steps, approximately, she walked each hour.

Solution: We have,

Total number of steps [tex]=20,458[/tex] steps.

Number of hours, from 9:00 A.M. to 3:00 P.M. [tex]=6[/tex] hours.

So, number of steps she walked each hour [tex]=\frac{20,458}{6} =3409.67[/tex] steps.

Hence, Julissa walked approximately [tex]3410[/tex] steps each hour.

click to see the problem

Answers

Answer:

C is your correct answer i think

Step-by-step explanation:

I think the answer would be C

A truck that transports refrigerators has a storage compartment 12 feet high by 9 feet wide by 51 feet long. Each refrigerator takes up 54 cubic feet. How many refrigerators can be packed on the truck if there is no wasted space?


Enter a unit that best describes the number.

Answers

Answer:

102

Step-by-step explanation:

12 x 9 x 51 = 5508

5508 / 54 = 102

Hope this helps!

Answer:

102.00

Step-by-step explanation:

12 feet high *  9 feet wide * 51 feet long / 54 = the answer

from the adjoining figure, find the value of x

Answers

Answer:

x = 2°

Step-by-step explanation:

x + 2x + 30 = 180°

3x + 30 = 180°

3x = 180°/30°

3x = 6°

x = 6°/3°

x = 2°

if 2/5 of a man's money is 4500. what is the total money​

Answers

Answer:

Total money= 11250

In attachment

Hey can yall help me with this question thank you

Answers

Step-by-step explanation:

a. 2x+5

b. 3x+5

c. 5x+4

i hope it will help you

Does this table represent a proportional relationship?

A) Yes
B) No

Answers

the answer is A yes it shows a proportional relationship

Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?

A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards

Answers

Answer:

125

Step-by-step explanation:

First you want to find out the difference between Randy and Phil:

120 - 95 = 25

Then, multiply that by five:

25 × 5 = 125

Hope this helps

Answer:

Davis owns 125 cards

Step-by-step explanation:

120 - 90 =  25 x 5 = 125

What is the area of a circle is the radius is 8

Answers

When the radius is 8, the area would be 201.06

Area of circle = pi x radius² (pi x 8²)

Step-by-step explanation: To find the area of the circle,

start with the formula for the area of a circle, which is [tex]A = \pi r^{2}[/tex].

Notice that our circle has a radius of 8 units.

So plugging into the formula, we have (π)(8 units)².

Now, (8 units)² is equal to 8 units × 8 units or 64 units².

So we have 64π units² which is an exact answer.

AHHHHHHhh asap plz answer!!

Answers

number one because if you do the math it's the o nly one that's different

Answer: 4 : 15

Step-by-step explanation:

The unit ratio of 2 : 8 is 1 : 4

The unit ratio of 5 : 20 is 1 : 4

The unit ratio of 3 : 12 is 1 : 4

However, the unit ratio of 4 : 15 is 4 : 15

Hope this helped!


CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:

Answers

9514 1404 393

Answer:

  Jermaine and Sadie have similar triangles. Aisha's is not similar.

Step-by-step explanation:

The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.

  Jermaine's triangle has side ratios ...

     8 : 14 : 20 = 4 : 7 : 10

  Sadie's triangle has side ratios ...

     2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)

  Aisha's triangle has side ratios ...

     4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)

Sadie and Jermaine have similar triangles.

What is the area of the figure?

Answers

the area of the figure would be 234 in.

Answer:

252

Step-by-step explanation:

15 times 12 is 180. 3 times 6 is 18. 6 times 9 is 54. 252 is the area

Solve the inequality,
p+ 1 = 2
The solution is

Answers

Answer:

p = 1

Step-by-step explanation:

one. 2-1 would equal 1 so p would have to be 1 exactly

Help please!!!!!!!!!

Answers

Answer:

440 square inches

Step-by-step explanation:

5 x 8 x 11 = 440

440 Square inches I’m positive

define seperation by evaporation​

Answers

Answer:

Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.

May it help you

6|X– 3|+10=52
X= or x=

Answers

Answer:

x = 10, -4

Hope this helped!

Write the equation of the function on the graph.​

Answers

Answer:

[tex] \huge \boxed {y = |x| + 3}[/tex]

Step-by-step explanation:

Similar to Parabola, except this is Modulus Function.

[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]

From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.

Both slopes are also 1 (from rise/run)

Hence, the answer is

[tex]y = |x| + 3[/tex]

Giving brainliest


Math!!

Answers

Answer: Option B
hope this helps!!

Answer:

B

Step-by-step explanation:

Round your answer to the nearest tenth.

Answers

Answer:

The value of MB = 8.4

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔJKL,

The point M is the centroid of the triangle.

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.

i.e.

KM = 2 MB

Given KM = 16.8

so substitute KM = 16.8 in the equation KM = 2 MB

16.8 = 2 MB

MB = 16.8/2

MB = 8.4

Therefore, the value of MB = 8.4

or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the

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