A teacher wrote the following set of numbers on
the board:
20 b = 2.5
Explain why a +b is irrational, but b + c is rational.
a= V20
C= 225

Answers

Answer 1

Answer:

Did you copy this down correctly?

Step-by-step explanation:

b = .125 which is rational

a is irrational because the square root of a prime number is irrational.

If c = 225....

then adding 2 rational numbers = rational sum

But adding (or multiplying) an irrational number to a rational number = irrational number.

Answer 2

The a +b is irrational because  the sum of rational and irrational number is 'a' irrational number and  b + c is rational because adding two rational number is rational, as c is the rational number.

What is an irrational number?

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

We have:

20b = 2.5

b = 0.125

a = √20

c = 225

= a + b

= √20 + 0.125

Here 'a' is irrational because the square root of a prime number is irrational.

And b is the rational number

The sum of rational and irrational number is 'a' irrational number.

= b + c

= 0.125 + 225

b = 0.125 which is rational

Adding to rational number is rational, as c is the rational number.

Thus, the a +b is irrational because  the sum of rational and irrational number is 'a' irrational number and  b + c is rational because adding two rational number is rational, as c is the rational number.

Learn more about the irrational number here:

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Related Questions

A jar of marbles has 15 red marbles, 10 green marbles, and 12 blue marbles. What is the probability of selecting a red marble?

Answers

Answer:

15 / ( 15 + 10 + 12 )

= 15 / 37

Hope it helps

Please mark me as the brainliest

Thank you

ANSWER MY QUESTION AND ILL ANSWER YOUR QUESTIONS
Which property of equality is used to solve –9.5 = x/1.5?
CHOICES :
1. distributive
2.subtraction
3.addition
4.multiplication

Answers

Step-by-step explanation:

it is not distributive because distributive is distributing a certain number into parentheses or if you have an exponent that would be distributing. it is also not subtraction. i am really sorry i dont know the full answer but i wanted to help as much as i possibly could i felt sad just scrolling by. i hope it helps you have a 50 50 now so i hope this helps

Please answer this correctly without making mistakes

Answers

Answer:

(a+(3c))+b

Step-by-step explanation:

i did this for you already in the comments of the other question

was i right? or no?

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 7

Answers

The answer is 60 if it is rounded to the nearest tenth. And 58 if is not rounded to the nearest tenth. I got 58 first becoz I subtracted 32 from the 90 degrees and I rounded it to the nearest tenth to get 60 degrees.

The perimeter of a rhombus with one side equal to 7mm

Answers

Answer:

28 mm

Step-by-step explanation:

All sides of a rhombus are equal in length and there are 4 sides so do 7 * 4 = 28mm.

Answer:

Perimeter of Rhombus: 28mm

Step-by-step explanation:

If one side of a Rhombus is 7mm, then its perimeter is 28 because all sides of a Rhombus is equal.

=> Perimeter of Rhombus: 7 x 4=> Perimeter of Rhombus: 28mm

Hoped this helped.

Find the 20th term of the sequence.

1600, 1200, 900, ...

Answers

First approach :

The above series can be seen as

1600 , (1600–400) 1200, (1200–300) 900 .

So we see that the values are getting decreased by 400,300 respectively.

Hence the next term in the sequence will be 900–200 = 700.

Other approach could be :

A geometric progression with ratio as 3/4.

1600*(3/4) = 1200

1200*(3/4) = 900

900*(3/4) = 675

Taking the above two approaches in mind,the two possible answers could be 700 or 675

Um- here ya go

The 20th term of the sequence.

1600, 1200, 900, ..., is 6.76.

What is a geometric sequence?

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

Given:

A geometric sequence,

1600, 1200, 900, ...

To find the common ratio:

take the ratio of successive terms

r = The value of the second term / the value of the first term

r = 1200/1600 = 0.75.

The explicit formula of a geometric sequence is,

aₙ=a₁(r)ⁿ⁻¹

aₙ= 1600(0.75)ⁿ⁻¹

a₂₀ = 1600(0.75)¹⁹

a₂₀ = 6.76

Therefore, the 20th term is 6.76.

To learn more about the geometric sequence;

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Indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown.
2x - 4 = 2(x - 2)

Answers

Answer:

Infinitely many solution

Step-by-step explanation:

Simplify

2x - 4 = 2x - 4

Lets see:

if we put 1:

2 - 4 = 2 - 4

-2 = -2

Now lets try another number : 2

4 - 4 = 4 - 4

0 = 0

So we can say that there is more than one solution

this cancels out single solution and no solution

There are infinitely many solutions to the given algebraic expression 2x - 4 = 2(x - 2).

The algebraic expression is an expression that is composed of variables and their arithmetic operations.

From the given parameters

2x - 4 = 2(x - 2)

Open brackets

2x - 4 = 2x - 4

Since we are having the same algebraic expression on both sides;

Then, we won't be able to get exactly one solution but an infinite number of solutions.

This is because any number that is being substituted for the value of x will always give a different solution.

Learn more about algebraic expression here:

https://brainly.com/question/4344214

help me on this it is 70 points

Answers

Answer:

10.4 or 52/5 or 10  2/5

Step-by-step explanation:

Answer:

I got 2/5

Step-by-step explanation:

Hope I helped.

Find the area of this parallelogram
8cm
10cm
14cm​

Answers

Answer:

112 [tex]cm^{2}[/tex]

Step-by-step explanation:

A=bh

A=14*8

A=112

A car dealership increased the price of a certain car by 6%. The original price was $34,500.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New price = ] » Original price
(b) Use your answer in part (a) to determine the new price.
New price: $]

Answers

Answer:

$36570

Step-by-step explanation:

The original price is 34500, so the %given must be the increase in price :

34500x(1+6%)

=34500x1.06

=36570//

What are the coordinates of the point (-9,10) after being reflected across the x-axis on a coordinate plane?

Answers

Answer:

-9,-10

Step-by-step explanation:

The X is on the axis and nothing will change, and the Y will flip sides.

The coordinates of the point after being reflected across the x-axis are (-9, -10).

When a point is reflected across the x-axis on a coordinate plane, its y-coordinate changes sign while its x-coordinate remains the same.

The original point is (-9, 10).

After reflecting across the x-axis, the y-coordinate changes sign, so the new point becomes:

(-9, -10).

So, the coordinates of the point after being reflected across the x-axis are (-9, -10).

To know more about coordinates;

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How would you factor this 2x^3 + x^2 + 5x + 6. The factored form should not have any radicals or imaginary numbers.

Answers

Answer:

(x+1)(2x2−x+6)

Step-by-step explanation:

KOFI electronics bought a shipment of TVs at a net price of $477.36 each, after discounts of 15%, 10%, and 4%. What is the list price?

Answers

Answer:

The list price of each TV would be $ 350.57.

Step-by-step explanation:

Since KOFI electronics bought a shipment of TVs at a net price of $ 477.36 each, to determine the list price after discounts of 15%, 10%, and 4%, the following calculations must be performed:

100-15 = 85

477.36 x 0.85 = 405.756

100-10 = 90

405.756 x 0.9 = 365.1804

100-4 = 96

365.1804 x 0.96 = 350.573184

Thus, after the discounts were made, the list price of each TV would be $ 350.57.

ill mark brainlist plss help

Answers

1080 , because I’m just built different

Answer:

It's 1080 miles.

Step-by-step explanation:

All you need to do is multiply the length and width together to get the area.

A = l*w would be the formula.

I need help pls pls pls pls

Answers

Answer:

9(w+8)  factor 9

Step-by-step explanation:

factor expression

9w+72  divide both side by 9

9/9w+72/9

w+8

Answer:

9 (w + 8)

I'm sorry I can't explain it but here's the answer

can someone help pls

Answers

Answer:

A. parallelogram

Step-by-step explanation:

Graph the line y=3x-8​

Answers

Look at the picture
yess the person above it correct

Draw a model to show 4.4 divide by 4

Answers

Answer:

Hope this Helps! Also Answer is 1.1

Step-by-step explanation:

=1.1
Is the answer I pretty sure

Which of the following graphs shows a pair of lines that represents the equations with the solution (3, −6)?

Answers

Answer:

the last one

Step-by-step explanation:

Quick! Will give brainliest!
Janie was asked to bring water for her daughter's soccer team. The coach told her he wants each player to drink
1
8
gallon of water after a game. There are 9 players on the team. How much water should Janie bring?
StartFraction 1 Over 72 EndFraction gallons
1 and one-eighth gallons
9 and one-eighth gallons
72 gallons

Answers

Answer:

1 gallon and 1 pint

Step-by-step explanation:

I guess that the actual amount of water needed per player is 1/8 of gallon and not 18 gallons.

You will need to bring 9 x 1/8 = 9/8 = 1 ¹/₈ gallons or 1 gallon and 1 pint

1 gallon = 4 quarts = 8 pints = 16 cups = 128 ounces

or

1 gallon = 3.785 liters

The US is one of the few countries (along with Liberia, and Myanmar) that still uses the imperial system to measure things, e.g. inches, feet, yards, pounds, miles, pints, gallons, etc. The rest of the world uses the metric system, e.g. meters, liters, kilograms, etc.

Mrs.flossi is having

Answers

Answer:

8

Step-by-step explanation:

Answer:

Mrs.Flossi is having 8 teams

Step-by-step

the full question wasent there but i did it on I-Ready nd got it correctly i hope this helps

Helpppppp plssssssss

Answers

Area of rectangle: 5 * 6 = 30 in.
Area of circle: 5/2 = radius
Pi * (5/2)^2 = 19.63495
Area of rectangle - area of circle
30 - 19.63495 = 10.3650
Round to nearest tenth
Solution: 10.4

solve the quadratic equation 2x^2-5x+1=x+4​

Answers

Answer:

Step-by-step explanation:

Combine like terms in 2x^2-5x+1=x+4:  2x^2 -6x - 3 = 0

The coefficients of this quadratic are {2, -6, -3}.  Apply the quadratic formula.  Start by finding the discriminant, b^2 - 4ac:

b^2 - 4ac = (-6)^2 - 4(2)(-3) = 36 + 24 = 60

Because the discriminant (60) is positive, we know that this quadratic has two real, unequal roots:

      -(-6) ± √60          6 ± (√4)(√15)

x = -------------------- = ----------------------

             2(2)                         4

or:

      6 ± 2√15            3 ± √15

x = -----------------  =  ----------------

              4                       2

Solve for x. around your answer to the nearest tenth
2.5/10=X/50

Answers

Answer:

x = 12.5

Step-by-step explanation:

Cross multiply and solve for x

Answer:

x=12.5

hope this helps:)

4, 2, 4, 1, 8, 9, 7, 5, 2, 8
By how much would the range decrease if the number 7 replaced the number 9 in the set?

Answers

Answer:

0

Step-by-step explanation:

The range is the difference between the lowest and highest values. Since 9 is still the highest value, the range would not change by any amount by replacing 7 with 9.

which statement is true?

Answers

Answer:

the 3rd one is the true one

Help plz, Its math question

Answers

It is located in quadrant I

PLS PLS PLS PLS PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

I wont give you the answers, but i will show you how

Step-by-step explanation:

add all the numbers together and then when you want to find a probability make them fractions

for example:

P(blue eyes): 12/80

then simplify the fractions

Plzz help i dont know how to do this

Answers

the answer is X = less than but equal to 3

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

Answer J

Step-by-step explanation:

To simplify the concept, we can change the inequality to y+3 >= 5. The variable "y" is "-1/2(x)" We know that y must be greater than or equal to "two." The only way this is possible is if x itself is equal to or less than -4.

Answer is J definitely
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