Statements
Sometimes True
Always True
Never True
The sum of a rational number and an irrational number is rational.
O
O
O
The product of a rational number and a rational number is rational.
O
o
о
The sum of an irrational number and a rational number is irrational.
The product of an irrational number and a rational number is irrational.
O
O
о
The sum of a rational number and a rational number is rational.

Answers

Answer 1

Answer:

statement are always true

Answer 2

Sometimes True:

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

Always True:

The product of two rational numbers is always rational.

Always True:

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

Sometimes True:

The product of an irrational number and a rational number is irrational.

Always True:

The sum of two rational numbers is rational.

What is a rational number?

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

Sometimes True:

The sum of a rational number and an irrational number can be rational or irrational depending on the numbers chosen.

For example, 1 + √2 is irrational, but 1/2 + √2/2 is rational.

Always True:

The product of two rational numbers is always rational, as can be shown using the definition of rational numbers.

Always True:

The sum of an irrational number and a rational number is always irrational. This can be shown by contradiction.

Assume that the sum of an irrational number a and a rational number b is rational.

Then (a + b) - b is also rational, which implies that a = (a + b) - b is rational, contradicting the assumption that a is irrational.

Sometimes True:

The product of an irrational number and a rational number can be rational or irrational depending on the numbers chosen.

For example, √2 x 2 is irrational, but √2 x (1/√2) = 1 is rational.

Always True:

The sum of two rational numbers is always rational, as can be shown using the definition of rational numbers.

Thus,

Sometimes True:

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

Always True:

The product of two rational numbers is always rational.

Always True:

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

Sometimes True:

The product of an irrational number and a rational number is irrational.

Always True:

The sum of two rational numbers is rational.

Learn more about rational numbers here:

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Related Questions

What is the scale factor from ARST to AUVW?

A. O
B. 2
C. 1
D. 3

Answers

Answer:

Step-by-step explanation:

C:1

The scale factor of triangles ΔRST and ΔUVW is 1.

Option C is the correct answer.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

ΔRST and ΔUVW have the same measure of the corresponding sides.

So,

RS/UV = 8/8 = 1

ST/VW = 7/7 = 1

RT/UW = 7/7 = 1

Thus,

The scale factor of ΔRST and ΔUVW is 1.

Learn more about scale factors here:

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Find each value or measure. Assume that segments that appear to be tangent are tangent. Find QS

Answers

Answer:

arc QS = 104°

Step-by-step explanation:

arc QTS = 2(128) = 256

arc QS = 360 - 256 = 104°

The measure of arc length QS is 104.

We have,

An inscribed angle is an angle whose vertex is on the circumference of a circle, and its sides are chords of the circle.

From the definition,

Inscribed angle = 1/2 x intercepted arc

Now,

128 = 1/2 x QTS

QTS = 256

Now,

QTS + QS = 360

256 + QS = 360

QS = 360 - 256

QS = 104

Thus,

The measure of QS is 104.

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In Jaylen's toy bin there are 25 red blocks. There are 19 more yellow blocks than red blocks. There are also 17 more blue blocks than red blocks. How many blocks are there in all?​

Answers

Answer: 111

Step-by-step explanation: because you add and add and you get your answer

Answer:

The answer should be 61

Step-by-step explanation:

I hope this helps! let me know if I am wrong

Make x the subject of the formula where x is positive
b= x -6 / x + 2

Answers

Answer:

[tex]b = \frac{x - 6}{x + 2} \\ b(x + 2) = x - 6 \\ bx + 2b = x - 6 \\ bx - x = - 6 - 2b \\ x(b - 1) = - 2(3 + b) \\ x = \frac{ - 2(3 + b)}{b - 1} [/tex]

I need help asappppppp please help me answer this question ​

Answers

9514 1404 393

Answer:

solutions: (1, -2), (5, 2)not solutions: (-3, 6), (1, -7)

Step-by-step explanation:

The first inequality describes a line with negative slope and y-intercept -4. The solution space is above that line.

The second inequality describes a line with positive slope and y-intercept +1. The solution space is below that line.

Together, the lines make a sort of X on the graph. The resulting solution space will be in the right-side quadrant of that X. Any sufficiently small y-value for a sufficiently large x-value will be a solution. Any point to the left of x=-4 will not be a solution. Values in each category are listed above and shown on the attached graph.

solve please and thank you

Answers

Answer:

x = 13.5

Step-by-step explanation:

2/11 = 3/(3 + x)

6 + 2x = 33

2x = 27

x = 13.5

Find the product. -7 x -8
Find the product. 9 x (-3)
Find the product. -3.5 x 12

Answers

-7 x -8 = 56
9 x (-3) = -27
-3.5 x 12 = -42

(I'd like the quick and short answer please a long explaination is unnecessary)

what is the solution to this system of equations?

Answers

Answer:

(-3;-2)

Step-by-step explanation:

9+ 12n greatest common factor

Answers

Answer:

the answer is 3

Step-by-step explanation:

3×3=9 3×4=12

Which unit would you must likely use to measure the capacity of a mug?
A. Teaspoons
B. Quarts
C. Fluid Ounces ?

Answers

Answer:

c

Step-by-step explanation:

Fluid Ounces would be likely to use to measure the capacity of a mug.

The unit to measure the volume of a mug is required.

The best suitable unit is fluid ounces.

Let us convert each unit to liters which will help us compare the units.

[tex]1\ \text{teaspoon}=0.00493\ \text{l}[/tex]

[tex]1\ \text{quart}=0.95\ \text{l}[/tex]

[tex]1\ \text{fluid ounce}=0.0296\ \text{l}[/tex]

A teaspoon is to small to measure a mug's volume, while a quart is too large.

So, the best suitable unit is fluid ounces.

Learn more:

https://brainly.com/question/17271202

I need help ASAP plss!!

Answers

Answer:

c. 8.359

Step-by-step explanation:

i hope this helps :)

I’m pretty sure the answer is C

What is the value of x?​

Answers

Answer:

72+3x=180

108=3x

x= 36

hope this helps

180 - 72 = 3x
108 = 3x
36 = x

Please answer quickly

Answers

Answer:

5.8

Step-by-step explanation:

2.5² + 5.2² = c² ≈ 5.8 units

Answer:

5.8

Step-by-step explanation:

√(2.5^2 + 5.2^2) = 5.77

5.77 to the nearest ones decimal point is 5.8

8 ir
2 in
6 in.
Il in
SOME PLEASE HELP RNN!!!

Answers

Answer:

240 in²

Step-by-step explanation:

3 x 8 x 6 = 144

2 x 6 x 8 = 96

144+96 = 240

Solve the following absolute value inequality. 3x - 727 x < 16 X > [?]​

Answers

Answer:

-2

Step-by-step explanation:

3|x-7|<= 27

then |x-7|<=27/3=9

hence, -9<=x-7<=9

therefore, -2<=x<=16

help me with this question!!!

Answers

Step-by-step explanation:

×=100

1. Divded 35 by 14 and u get 0.4

2

Divided 40 by 0.4 and u get 100

Answer:

16

Step-by-step explanation:

You could solve it two ways:

Cross multiply:

x times 35 = 35x

40 times 14 = 560

35x divided by 35 = x

560 divided by 35 = 16

x = 16

Or:

35 divided by 14 = 2.5

40 divided by 2.5 = 16

x = 16

PLEASE HELP (TEST)

A 31.5 centimeters
B 98.91 centimeters
C 197.82 centimeters
D 3,115.67 centimeters

Answers

Answer:

c is correct , half of 63 is 31.5 and since the formulae for circumference is 2pir

then : 2×3.142 × 3.14 =197.82cm

help meeeeeeeeee pls

Answers

Answer:

63.62

Step-by-step explanation: A=πr^2=π·4.52≈63.61725

63.62. ................

#2: Which expression is equivalent to -4 (5x – 9) + 6(2x + 5)?
A. -8x - 4
B. -8x + 66
C. 32x - 4
D. 32x + 66

Answers

The answer is B. -8x + 66

Help please I’m confused

Answers

Answer:

Help with the answer or help understanding?

Step-by-step explanation:

Answer:

dsfsfafaf

Step-by-step explanation:

Grayson goes to BestBuy to buy a computer for $499, a mouse for $19.99, and a cable cord for $8.99. Grayson buys this on credit and will pay off the amount of money over 12 equal month payments. How much will Grayson pay each month?

Answers

Answer:

$44

Step-by-step explanation:

499 + 19.99 + 8.99 = 527.98

527.98/12 = 43.9983333 or $44.00

Four friends split the cost of a pizza and salad. The pizza costs $20 and the salad costs $6. Which expression can you use to find out how much each person owes?

Answers

Answer:

26 divided by 4= $6.50

Step-by-step explanation:

20+6=26

26 divided by 4 friends = they each paid $6.50

Answer:

(20 + 6) / 4 or 26 / 4 which equals $6.50

Step-by-step explanation:

Since their are 4 people you would divide the total cost by 4.



Which description best describes the graph?​

Answers

It is linear decreasing

find the area of the shaded region in the simplest form

Answers

Answer:

A = 24t² + 2t

Step-by-step explanation:

The shaded area (A) is calculated as

A = area of outer square - area of rectangle

   = (5t)² - t(t - 2)

   = 25t² - t² + 2t

    = 24t² + 2t

What’s the woman said above ☺️

Convert 3pi/4 to degrees.

Answers

Answer:

135 degrees

Step-by-step explanation:

Pls and thanks help me

Answers

she spent 200 minutes

what is dis answer people ???!???? givving out brainulisnsfgvrubhdjck

Answers

Answer:

3

Step-by-step explanation:

the graph intersects at (1,3) and its asking for y so its 3

Answer:

put A because if u see that

Sarah's sister has two summer jobs. The first job pays her $11 per hour. The second job pays her $14 per hour. In one month, she works 23 hours at the first job and 18 hours at the second job.

How much money did Sarah's sister earn that month?

Enter your answer in the box.

$

Answers

$505 . 11 times 23 =253 . 14 times 18=252. When you add them you get $505

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction

If you could hurry please I'm on a time crunch!

Answers

Answer:

a.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you roll the cube 120 times, how factors of 6?

Answers

Answer:

120/6=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

You would get a statistical distribution. As given in another answer, the expected value is 20. By the central limit theorem, it would approach a normal distribution with expected value of 20 (nP) and variance of 16.67 (nP(1-P)) or standard deviation 4.08.

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