The product of two rational numbers:

The Product Of Two Rational Numbers:

Answers

Answer 1

Answer:

"The product of two rational numbers is rational."

So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.

Step-by-step explanation:

Answer 2

Answer: Is a rational number.

Step-by-step explanation: Two rational numbers produces another rational number. "The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.


Related Questions

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

a) 10

b) 3

c) 16

Step-by-step explanation:

Count the squares and the half ones match them with each other to get a full square... so so sorry if im wrong i did this a while ago! Currently Yr 9 x

Find the mean: 17.4 mm, 20.3 mm, 84.1 mm, 31.2 mm, 53.7 mm, 11.7 mm

Answers

the mean is 36.4 to verify what the other person is saying :)

True or false: all animals have adaptations.

Answers

Answer:

true because all animals need to adapt in their lives

The perimeter of a rectangle is 18 cm. If its length is 5 cm, find its breadth.​

Answers

Answer:

Hope that answers your question, you're welcome

[tex] \longmapsto \: perimeter \: of \: rectangle = 2(l + b) \\ \\ \longmapsto2(5 + b) = 18 \\ \\ \longmapsto \: 5+ b = 9\\ \\ \longmapsto \: b = 4cm[/tex]

can i have help with 10?!!!!! PIC BELOW!

Answers

Answer:

=5y^2+2y+10

Step-by-step explanation:

2y−3y2+8y2+10

Simplify the equation to get whole numbers, multiply the like terms

I tried my best!

The difference of a number and 8 is -15

Answers

Answer:

-7

Step-by-step explanation:

x-8=-15

x=-7

III. Fill in the gaps with the correct form of the verbs in brackets.
(go) early
1. If you
(not/want) to stay in the party, we
2. You
(pass) your exams if you
(study) really hard.​

Answers

Answer:

give us a more zoomed out picture

Step-by-step explanation:

Someone please help me

Answers

37.
13 - 7 = 6
Her Mom Uses 6

38.
9 + 8 = 17
Andrew Had 17 Muffins

The length of Andy's bed is 123 what is the length in feet

Answers

the answer should be 10.25 Feet
10.25 feet. Hope it helps

solve for x. Please show work

Answers

Answer:

9

Step-by-step explanation:

Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm

Answers

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

I need help Estimate 81/4 but into a number

Answers

so do 81 divided by 4 we know that 80 divided by 4 is 20 so it would be 20 and some change

Please help me with this

Answers

Answer:

$1224

Step-by-step explanation:

72 adults in the theater, and 17$ per adult ticket.

72 x 17 is 1224.

First person to answer this gets BRAINLIEST!
(Look at the photo for the question)

Answers

Answer:

7 square miles

Step-by-step explanation:

Answer:

I think its the right shape being the trapezoid

Step-by-step explanation:

the triangle looks like a triangle but then the reason why I said I think it's the on the right is because the acute angle makes it look like a trapezoid but then on the other side it has a right angle but I think its the right side.

Question 1 ( point) A 64g sample of Germanium-66 is left undisturbed for 12.5 hours. At the end of that period, only 2.0g remain. How many half-lives transpired during this time period? half-lives Answer = Blank 1:​

Answers

Answer:

2.5 half-lives

Step-by-step explanation:

Find [tex]t_{h}[/tex] in [tex]N(t)=N_{0}e^{-kt}[/tex] given [tex]N(t) = 2, N_{0} =64,t=\frac{25}{2}[/tex]

[tex]N(t)[/tex] is the amount after the time [tex]t[/tex], [tex]N_0[/tex] `is the initial amount, [tex]t_{h}[/tex] is the half-life

We know that after half-life there will be twice less the initial quantity:

[tex]N(t_{h})=\frac{N_{0} }{2}=N_{0}e^{kt_{h} }[/tex].

Simplifying gives [tex]\frac{1}{2} =e^{-kt_h} or k = -\frac{In(\frac{1}{2}) }{t_{h} } .[/tex]

Plugging this into the initial equation, we obtain that [tex]N(t)=N_{0}e^\frac{In(\frac{1}{2}) }{t_{h} }[/tex]or [tex]N(t)= N_{0} (\frac{1}{2})^\frac{t}{t_h}.[/tex]

Finally, just plug in the given values and find the unknown one.

From [tex]2=64(\frac{1}{2})^\frac{\frac{25}{2} }{t_h}[/tex], we have that [tex]t_h[/tex] = [tex]\frac{25 In (2)}{2 In (32)\\}[/tex]

So you should get: [tex]t_{h} =\frac{25 In (2)}{2 In (32)\\}=2.5.[/tex]

MARK ME AS BRAINLIEST IF YOU WISH

The number of half-lives that transpired during this time period is equal to 2.5 hours.

Given the following data:

Time = 12.5 hours.

Initial mass = 64 grams.

Remaining mass = 2.0 grams.

How to determine the number of half-lives.

Mathematically, the amount of a radiocative element that is remaining after time (t-hours) is given by this formula:

[tex]ln(\frac{A}{A_0} )=ln(\frac{1}{2} )\frac{t}{H}[/tex]

Where:

A is the amount remaining.Ao is the initial amount.H is the half-life.t is the time.

Substituting the given parameters into the formula, we have;

ln(2/64) = ln(1/2) × 12.5/H

-3.466 = -0.693 × 12.5/H

H = 12.5 × -0.693/-3.466

H = 12.5 × 0.1999

H = 2.5 hours.

Read more on half-life here: https://brainly.com/question/25750315

A customer at least lunches can choose a protein from chicken beef or shrimp the customer can also choose from right or brown rice which diagram shows all the possible combinations of one type of Protane and one type of rice

Answers

Answer:

A

Step-by-step explanation:

the price of a board game was reduced from $40 to $25. by what percentage was the price of the board game reduced?

Answers

15% - 40. -25 = 1500 percent take out the zero because they have zero value and your left with 15 which is 15%

como se divide 0.75÷5 con cociente menor que 1


ayudaaaaaa​

Answers

La respuesta correcta es .15

Riley bought 50 foot or rope. He cut off pieces that total 34’8” so far. How much rope does he have left

Answers

Answer:

the answer is 15'2" of the rope that is left

Step-by-step explanation:

HELP FAST FAST FAST
IM GIVING BRAINLIEST!!!!

A trapezoid has an area of 13.5 inches. The bases are 3 inches and 6 inches. Determine the height of the trapezoid.

EXPLAIN THE PROCESS AND THE STEPS PLEASEEE

Answers

Answer:

h=3in  

Step-by-step explanation:

A=a+b

2h

Solving forh

h=2A

a+b=2·13.5

3+6=3in

Please I need help it’s an emergency

Answers

Answer:

A. [tex] 4\sqrt{6} [/tex]

Step-by-step explanation:

Applying the leg rule which is:

[tex] \frac{Hypotenuse}{leg} = \frac{leg}{part} [/tex]

Hypotenuse = 4 + 8 = 12

Leg = x

Part = 8

Plug in the values

[tex] \frac{12}{x} = \frac{x}{8} [/tex]

Cross multiply

[tex] x*x = 8*12 [/tex]

[tex] x^2 = 96 [/tex]

[tex] \sqrt{x^2} = \sqrt{96} [/tex]

[tex] x = \sqrt{16 * 6} [/tex]

[tex] x = 4\sqrt{6} [/tex]

13. What is the measure of angle J in the triangle below? Drawing is not to scale. (1 point)

О 99
042°
09°
0 48°

Answers

Answer:Other person is correct. here are the summarized answer for my unit test right triangles and trigonometry unit test

1. side lengths 24, 32, and 40

right

2.  a is right angle m b = 45

14\/2

3.quilt squares hypotenuse 18

9\/2

4.what are the values of the variables in the triangle below  y,  x,  30 degrees, 12\/3

x=18 y=6\/3

5.cos_=9/5

63.26

6. victor drives 300 meters up hill

292.3

7. the students in Mr. Collins class 59 degrees    63 feet

105 feet

8. an airplane pilot        5172 meters

912

9.  to find the height of a pole  140 feet away     4 feet tall    44 degrees

139 feet

10. art piece      21in

191.0

11. a grid shows the positions of a subway     (-7,-1)      (-3,4)

6

12. triangle def m d 44   m d 61       ef 20 in

27.8

13.measure of j     16    103 degrees   11

42

14. triangle fgh   fh 8      fg 13       m f 72 degrees

35.9

15.  in triangle xyz    xy 13     yz  20      xz 25

31

Won't do written part.

Step-by-step explanation:

I have tried a while to figure this out, but I have had no luck!

Dianne runs around a circular track that has a radius of 55 feet. After running three quarters of the distance around the track, how far has she run?

Answers

Answer:

She has run 259.18m

Step-by-step explanation:

Since Dianne is running around the circular track, she is running around the perimeter of the circle.

Now, we know that the perimeter of a circle is given by;P = 2πr

Thus the perimeter of the track = total distance that the man travels = 2 x π x 55 = 345.575 meters

Now,since she has run 3/4 of the distance, thus, she has run;

(3/4) x 345.575 = 259.18m

What does it mean to be “in the red?”
a.
You have more credits than debits.
b.
You have more debits than credits.
c.
You cannot find your financial records.
d.
Your financial records are inaccurate.

Answers

Answer:

b.

You have more debits than credits.

Step-by-step explanation

Being in the red means that you are in debt so im 90% sure its B

If you get this wrong then i am very sorry.This is my input :)

Answer:

B

Step-by-step explanation:

In accounting, if the debit balance is more than the credit balance on income statement, there is a loss.

If the credit balance is more than the debit balance on income statement, there is a profit.

Option C and D are both not correct because this does not relate to whether a Financial record is accurate or not.

What is the coefficient of 20x?

Answers

Answer:

20

Step-by-step explanation:

A coefficient is the number that is attached to the variable.

In this case, the number attached to the variable is 20.

Therefore, the coefficient is 20

hope this helps :)

What are the four
parts of axiomatic system?​

Answers

DHANALAKSHMI P S B Ed MATHEMATICS.A typical mathematics system has the following four parts: Undefined terms Defined terms Axioms and postulates Theorems.Undefined Terms In mathematical system we come across many terms which cannot be precisely defined .

An axiomatic system consists of some undefined terms (primitive terms) and a list of statements, called axioms or postulates, concerning the undefined terms. One obtains a mathematical theory by proving new statements, called theorems, using only the axioms (postulates), logic system, and previous theorems.

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

PLEASE HELP WITH THIS BEST ANSWER GETS BRAINLIEST

This is an example of a random sample: The Student Council wants to survey 7th grade students about their favorite lunch food. They write down the names of all 7th grade students and put their names in a hat, then draw names to collect the sample of students to be asked.

True

False

Answers

True............................

(16y ⁵/ 4y³) ¹/2 simplify expression

Answers

2y

Step-by-step explanation:

16y^5-3/4)

16y²/4)

4y²)1/2

2y

PLEASE HELP which number line represents the solution to |x-21|<3

Answers

Answer:solutions, search about Complex Numbers

Step-by-step explanation:−2||=−6

2

|

x

|

=

6

||=−6−2=3

|

x

|

=

6

2

=

3

The value inside the absolute value brackets could be positive or negative and give a positive result.

()=3

(

x

)

=

3

 OR  −()=3

(

x

)

=

3

=3

x

=

3

 OR  =−3

x

=

3

On a number line, that would translate to a number line with two dots on it, one at -3 and one at +3.

x equal to 24 and it c

PLEASE HELP!! WILL GIVE BRAINLIEST An artist has been commissioned to make a stained glass window in the shape of a regular octagon. The octagon must fit inside an 16-in. square space. Determine the length of each side of the octagon. Round to the nearest hundredth of an inch.​

Answers

The length of each side of octagon is 1.66 inches.
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(22 points) please please help me thanks so much giving crown! hurryyyyyyyyyyyyyyyyyyyy Lee wants to buy four tee shirts,which were originally priced $12.94each. He purchases four shirts at the"Buy One Get One 50%" sale and pays6.2% tax on the total cost of theshirts. Including the tax, what will bethe cost of each shirt? Yo____ tiempo con mis amigos los fines de semana There are 230 cal in 4 ounces of a type of ice cream how many calories are in 6 ounces of that ice cream What term is used by scientists to describe the gradual increase in surface temperature of the earth? All of the following are true about the US government EXCEPT:O A. The US government set up a system of Federalism.O B. All branches of the US government have equal power.O C. The US government has a system of checks and balances in place,D. The US government gave us a Constitution to tell us our individual rights. Will give brainliest Can someone give me the answer or explain to me what is Trying to tell me What amazing accomplishment is credit to John Henry? getting apple trees to grow in Americaholding back a dam about to burstlassoing a tornadodrilling through a mountain faster than a steam engine Suppose that an individual has a body fat percentage of 18.9% and weighs 141 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.Please respond within the hourThanks John eats 0.3 ounces of cake for breakfast each day for 30 days. How many ounces of cake will he eat for 15 day. True or False? A right triangle can have a leg measuring 10cm and a hypotenuse measuring 10cm The scale used on a map of Alaska indicates that a length of 3 inches represents a distance of 75 miles. What distance is represented by a length of 6 inch on the map?A. 25 milesB. 37.5 milesC. 150 miles D. 470 miles Someone please help me if you read the book called outsiders can you answer these three question i will mark brainliest please help Suppose you created a set of instruments using water and drinking glasses. You need a note with a very low pitch to complete a certain songwhat should you do?Pour out some of the water in the glass with the least water.Pour out some of the water in the glass with the most water.Add more water to the glass with the least water.Add more water to the glass with the most water. please could i have help with this i get 336m and its not one of the choices Which system has a central government and local units that implement the central government's decisions? The following sentence would befound in what element of anannotated bibliography:Dr. Chung's 30 years as head ofRosecrantz Labs makes him an experton this subject.A. summary paragraphB. assessment paragraphC. justification paragraph A reaction time contest is held. While most competitors had an average sound reaction time between 0.17 and 0.20 seconds, one person scored a fantastic 0.0713 seconds on average. The results of this test are shown below. What is the most likely explanation of this unusually low average time?A. The subject frank a beverage with a lot of caffeine just before the contest. B. The subject had very warm arms and hands. C. The subject was an avid video game player. D. None of the above.