The product of two rational numbers is irrational.

Answers

Answer 1

Answer:

The statement is false.

Step-by-step explanation:

Here we need to remember some things:

Integer numbers are closed under multiplication.

This means that for two integers a and b, the product a*b is also an integer.

A rational number is a number that can be written as the quotient of two integer numbers.

An irrational number is a number that can't be written as the quotient of two rational numbers.

Now let's see the statement:

"The product of two rational numbers is irrational."

The product of two rational numbers is written as:

[tex]\frac{a}{b} *\frac{c}{d}[/tex]

Where a, c, b, and d are integers.

We can rewrite that product as:

[tex]\frac{a*c}{b*d}[/tex]

Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.

Then the product of two rational numbers is a rational number.

Then the statement is false.


Related Questions

Match each equation with the step that could be used to find each solution (math) Please !

Answers

Second one is second row 4th one is 3rd row and the last one is the last row

Which of these expressions is equivalent to 3(x−2) ?

Multiple choice question.

PLZS HELP I GIVE SOMEONE A BRAINLIEST

Answers

Step-by-step explanation:

3(x-6) is the correct answer to your question :)

Answer:

3x - 6 or 3x -6

Step-by-step explanation:

it is a distrubuve property so u multiply the numbers in the bracket by 3.so 3 time x is 3x.and the other one if it is -2 it is -6 but if its just 2 it is 6.

Hope it helped.

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Part A: The net below can be folded to make a solid figure.


What is the volume, in cubic units, of the figure made by folding the net? Select the correct answer.

A. 150 cubic units
B. 125 cubic units
C. 70 cubic units
D. 25 cubic units

Part B: What is the area of the flag below?





Part C: Joe has a bicycle with a front wheel that is 2 feet in diameter. How far does Joe travel if his wheel turns exactly 100 complete revolutions in one direction? In a short paragraph, explain your work in your own words.

Answers

Answer:

that sounds hard

Step-by-step explanation:

Sally paid $1.50 for pounds of apples at the Grocery Mart. Fred paid $1.95 for 3 pounds of apples at the Corner Fruit Stand. How much did Sally pay per pound of apples? (enter in the format of money, do not use the $ sign) Answer value'

Answers

Part A: Sally paid less money per pound than Fred did

Part B: John paid $3.58 for 5.5 pounds of apples at the Grocery Mart

Part C: y = 0.65x

Step-by-step explanation:

Part A:

Sally: 1.5/2.5 = x/1

cross multiply: 2.5x = 1.5*1

simplify: 2.5x = 1.5

divide both sides by 2.5: x = 0.6

Fred: 1.95/3 = x/1

cross multiply: 3x = 1.95*1

simplify: 3x = 1.95

divide both sides by 3: x = 0.65

Fred paid 65¢/pound while Sally paid 60¢/pound

Part B:

price/pound*amount John bought: 0.65/1 = x/5.5

cross multiply: 1x = 0.65*5.5

simplify: x = 3.575

Part C:

y = 0.65x

Aaron’s class as 24 students. 1/6 of them play basketball. How many students in his class play basketball?

Answers

Answer:

4

Step-by-step explanation:

Solve the system by substitution.
x=-6y 4x + 10y = 14

Answers

Answer:

x = 6

y = -1

Step-by-step explanation:

x = - 6y ----------------------(I)

4x + 10y = 14 ------------------(II)

Substitute x = -6y in equation (II)

4*(-6y) + 10y = 14

-24y + 10y = 14  {Combine like terms}

           -14y = 14   {Divide both sides by 1-4}

               y = 14/-14

y = -1

Now, substitute y = -1 in equation  (I)

x = - 6*(-1)

x = 6

All students in first period are asked what their favorite food is bias or unbiased

Answers

there is not a lot of information but i would say unbiased.... assuming there are multiple students in first period w different personalities OR some could say it is biased since only first period was asked

If the measure of the angles in a triangle are in the ratio 3:4:5, the measure of an exterior angle of the triangle can not be

Answers

Answer:

I would use photomath if you cant find your answer.

Step-by-step explanation:

PLEASE HELP!

Now write 40,630 in scientific notation. 40,630 = ____ ____ x 10​

Answers

4.063 × 10^4

........................

Answer:

4.063 x 10 to the 4th pwr

Step-by-step explanation:

Please help me :):)):):

Answers

Answer:

12

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169

169-25= 144

take the square root of 144

answer: 12

Given P(A) = 0.56, P(B) = 0.45 and P(B|A) = 0.7, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

Answer:

P(A and B) = P(AnB)

Step-by-step explanation:

[tex]P( \frac{A}{B} ) = \frac{P(AnB)}{P(B)} \\from \: bayes \: theorem \\ P(AnB) = P(B) \times P( \frac{A}{B}) \\ = 0.45 \times 0.7 \\ = 0.315[/tex]

Answer: 0.392

Step-by-step explanation:

So P(A)xP(B|A)= P(AnB)

Plug in

0.56x0.7=0.392

What is the volume of the rectangular prism?

Answers

2x3x6 = 36 hope this helps!!

Rectangular prism is also called cuboid.

Given :

Length = 3 feetBreadth = 6 feetHeight = 2 feet

To calculate :

Volume of the rectangular prism.

Calculations :

Formula :

[tex]\bigstar \: \boxed{\sf {Volume_{(Cuboid)} = \ell \times b \times h}} \\ [/tex]

[tex] \longmapsto [/tex] Volume = (3 × 6 × 2) feet[tex]\sf ^3 [/tex]

[tex] \longmapsto [/tex] Volume = (18 × 2) feet[tex]\sf ^3 [/tex]

[tex] \longmapsto [/tex] Volume = 36 feet[tex]\sf ^3 [/tex]

Therefore,

Volume of the rectangular prism is 36 feet[tex]\sf ^3 [/tex].

In a right triangle one angle measure 28° more than the other acute angle. Use equations to solve for the measures of the two unknown angles.

Answers

Answer:

One acute angle is 31 degrees and the other  acute angle is ( 31+28=)  59 degrees.

Step-by-step explanation:

In the right angled triangle one angle is always equal to 90 degrees.

Suppose <a= 90 degrees

     < b= x degrees

    < c= x+28 degrees

The sum of all the angles of the triangle are always equal to 180 degrees

therefore

<a+ <b+<c= 90 + x+ x+28 = 180

or

2x= 180- 28- 90

2x=62

x= 31 degrees

One acute angle is 31 degrees and the other  acute angle is ( 31+28=)  59 degrees.

An acute angle is an angle which has less than 90 degrees in measurement .

Hence both angles of the right angle triangle are acute angles , 31 and 59 degrees.

Find the x-intercept and y-intercept
from the following linear equation:
-2x + 4y = -16

Answers

Answer:

x-intercept: (8, 0)

y-intercept: (0, -4)

Step-by-step explanation:

Please help (no links or I will report you)

Answers

Answer:

0.60 or 0.6

Step-by-step explanation:

Divide three by five :)

3÷5= 0.6

identify the type of sequence



i just need the graph ones
WILL MARK BRAINLYEST!

Answers

Answer:

your answers are correct

the first graph isgeometric

the second graph is arithmeit

what is the positive solution to the equation 0=-x^2-x+20

Answers

Answer:

x=4 positive solution

Step-by-step explanation:

hello :

-x²-x+20 = 0

-(x²+x-20) = 0

means : x²+x-20=0

(x+5)(x-4) =0

x+5 =0 or x-4 =0

x = - 5 refused  x=4 positive solution

math question:

simon believes that 3^0 • 3^2 is equal to 1 because 0 • 2 = 0 and any number raised to a power of 0 is 1. Is Simon correct? Justify your response.

Answers

Answer:

Simon is incorrect

Step-by-step explanation:

3^0 is not 0, it is 1.

A way of thinking about this is if to get from 3^2 to 3^1, you need to divide by 3, then to get from 3^1 to 3^0 you need to divide by 3 again. 3 divided by 3 is 1.

This means 3^0*3^2=1*9=9

3^0*3^2=1
1*6=6 not 1

simon's wrong but he is right when he says any number raised to a power of 0 is 1 and that 0*2=2 but here its 1*6=6 not 0 or 1*2=2

All varieties of a certain brand of cookies are $3.50. A person buys peanut butter cookies and chocolate chip cookies. A. Write two different expressions that represent the total cost of the cookies if p represents the number of peanut butter cookies and c represents the number of chocolate chip cookies. Level 3 B. Explain how each expression above describes the situation in a different way.


Pls

Answers

Answer:

A.P+C=O

A(2).P+C=$7.00

B.A (1) that expression doesnt give the amount for both sets of cookiea all together its just shown as a letter.A(2) its shows p+c as $7.00 showing thats how much for both sets of cookies instead of having a letter to represent the amount payed.

PS:hope this helped good luck !

??
the scatter plot below shows the relation ship between two variables x and y which line best fits the data

Answers

Answer: 2 or 3

Step-by-step explanation:

Which ever line is going through the most points

What’s thee answer hello

What number would represent the outlier in the following set of data?

10, 13, 9, 29, 15, 11, 14, 8, 10, 11, 17, 14, 12

Answers

i think it is 29 cause it’s in the 20’s while the others aren’t

Answer:

29

Step-by-step explanation:

Graph the equation.
y= 4x + 5

Answers

there should be a point on the y-axis at positive 5 and for the rest of the points go right 1 up 4 and left 1 down 4

putting the equation in desmos might help you more :)

Given that the diameter of a circle is 5 mm, find the radius of the circle.

Answers

Answer:

r=2.5mm

Step-by-step explanation:

Using the formula

[tex]\huge\underline{ \sf \: Formulae \: to \: remember \: for \: solving \: the \: question:}[/tex]

[tex] \\{ \sf radius \: of \: a \: circle = \frac{d}{2} where \: d \: is \: the \: diameter \: of \: the \: circle}[/tex]

[tex]\huge\underline{\sf Given:}[/tex]

[tex] \ \: { \sf The \: diameter \: of \: a \: circle \: is \: 5 mm.}[/tex]

[tex]\huge\underline{\sf To \: find \: out:}[/tex]

[tex] \ { \sf Radius \: of \: the \: circle}[/tex]

[tex]\huge\underline{\sf Solution:}[/tex]

[tex] \\{ \sf The \: diameter \: of \: the \: circle \: is \: 5 \: mm.}[/tex]

[tex] \\{ \sf Therefore \: radius \: of \: the \: circle}[/tex]

[tex]\\{ \sf = \frac{5}{2} \: mm} [/tex]

[tex] \\{ \sf = 2.5 \: mm}[/tex]

[tex]\huge\underline{\sf Answer:}[/tex]

[tex]\\{\sf The \: radius \: of \: the \: circle \: is \: 2.5 \: mm.}[/tex]

PLSSSSS HELP I GIVE U ANYTHING JUST PLZ HELP!!!!!!!!!!!!

Answers

Answer:

0.7

Step-by-step explanation:

Answer:

this is for scamming me

Step-by-step explanation:

The grades on a language midterm at Santa Rita are roughly symmetric with u = 77 and o = 3.5.
Tiffany scored 80 on the exam.
Find the Z-score for Tiffany's exam grade. Round to two decimal places.

Answers

Answer:

0.85

Step-by-step explanation:

The Z-score for Tiffany's exam grade will be 0.85. The value of Z score for the different distribution is different.

What is the z score?

The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.

The Z score is found as;

[tex]\rm Z= \frac{x-\mu}{\sigma} \\\\ Z=\frac{80-77}{3.5} \\\\ Z=0.85[/tex]

Hence,the Z-score for Tiffany's exam grade will be 0.85.

To learn more about the Z score refer to;

https://brainly.com/question/15016913

#SPJ2

for brainiest:):):):):):):)

Answers

15*0.65= $9.75 is the sale price

Answer:

$9.75

Step-by-step explanation:

Here are two ways of solving this:

Method 1) calculate 35% of original price and subtract from original price

original price: $15

discount rate: 35%

amount of discount: 35% of $15 = 0.35 * $15 = $5.25

final price = original price - amount of discount = $15 - $5.25 = $9.75

Method 2) calculate the percent the discount amount is, and calculate the amount

original price = $15 = 100% of original price

discount rate = 35%

Since the discount rate is 35%, then 100% - 35% = 65%, meaning the sale price is 65% of the original price.

final price = 65% of $15 = 0.65 * $15 = $9.75

Answer: $9.75

Find the interquartile range of these data.

5, 12, 9, 8, 6, 2, 6

Answers

Answer: 7

Step-by-step explanation:

115° X Find the unknown angle measure​

Answers

65 degrees. It’s on a straight line (180 degrees) so you just subtract.

Write an equation in standard form for a line that is perpendicular to the line with an equation of y=3x-5 that passes through the point (8,5)

Answers

Answer:

[tex]gradient \: of \: y = 3x - 5 \: is \: 3 \\ m = 3 \\ for \: perpendicular \: m {}^{.} \times m = - 1 \\ 3m {}^{.} = - 1 \\ m {}^{.} = - \frac{1}{3} \\ from \: \: y = mx + c \\ at \: (8,5) \: \: 5 = - \frac{1}{3} \times 8 + c \\ c = - \frac{15}{8} \\ hence \: \: y = - \frac{1}{3} x - \frac{15}{8} [/tex]

Please help! I'm feeling good today, I'll give you 20 points. Thanks!!

Answers

Answer:

solution:

5(4+2x)=-(x-5)-7

20+10x=-x+5-7

10x+x=-2-20

x=-22/11=-2

x=-2

so.D.-2 is your answer.

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