is the product of two rational numbers always a rational number?

Answers

Answer 1

Answer:

Yes, it's always rational.

Step-by-step explanation:


Related Questions

Explain how you can write an equation for the given situation in standard form. One number is 5 more than a second number. The product of the two numbers is 891.

A) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x-891=0

B) Let x be the smaller number, and then x+5 is the larger number. This means that x+(x+5)=891, which can be rewritten as 2x-886=0

C) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x+891=0

D) Let x be the smaller number, and then x+5 is the larger number, This means that x+5/x=891, which can be rewritten as 890x-5=0

Answers

Answer:

you figure it out

Step-by-step explanation:

Number one is going to be N1

Number two is going to be N2

Product of the two numbers combined is going to be 891

N1= N2 +5

N1 + N2 = 891

(N2+5) + N2 = 891

N2 +5 +N2 =891

2N2 + 5 =891

im gonna let you figure the rest out

plz help me i dont understand this one​

Answers

Answer:

x^2y^5

Step-by-step explanation:

Simplify the expressions.

1/2 _ 5/4
which one is greater?

Answers

Step-by-step explanation:

1/2 is equal to 0.5 and 5/4 is equal to 1.25

0.5_1.25

Which is greater?

1.25 by a long shot

Then we convert back to fractions.

The answer is 1/2<5/4

Hope it helps!

Answer:

1/2 is 50% and 5/4 = 125%

Step-by-step explanation:

What is the area of a rectangle
with a length of 5 cm and a width of
4 cm

Answers

Answer:

Area = 20 cm²

Step-by-step explanation:

Area = width * length

area = 5cm * 4cm

area = 20 cm²

Answer:

20 cm

5x4 =20

length times width

Find the product of (3.7 × 104) and 2.
A. 7.4 x 10^3
B. 0.74 x 10^4
C. 7,4 x 10^4
D. 74 x 10^4

Answers

Answer:

A. The answer is 7.4x10^3

Answer:

A. The answer is 7.4x10^3

Step-by-step explanation:

Find the slope
x+3=0

Answers

Answer: undefined

You would subtract 3 from both sides to get x= -3 which would be a vertical line meaning it has no slope

the product of two numbers is 12

Answers

the product of 2 numbers is 12, well the answer to that question would be 2 x 6 or 3 x 4

3х^2–36 = — 84
can someone help me with this one

Answers

Answer:

No real solution.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Order the numbers from least to greatest -1 4/5 , -7/4, 3/2, (-2.2)​

Answers

Answer:

-2.2, -1 4/5, -7/4, 3/2

Step By Step:

I just converted all into decimals;

-1.8, -1.75, 1.5, -2.2

Then ordered them;

-2.2, -1.8, -1.75, 1.5


Find the distance FG between the points
F(0, – 7) and G (-6, -3). Round your answer to the
nearest tenth, if necessary.
FG

Answers

Answer:

7.2

Step-by-step explanation:

The distance of FG is 7.211

What is distance formula?

Distance between two points (x1,y1) and (x2,y2) is given by:

PQ = √( x2 − x1 )² + ( y2 − y1 )². It is known as distance formula.

Given coordinates:

F(0, – 7) and G (-6, -3).

Using distance formula

= √(-6-0)² + (-3 +7)²

=√36+ 16

=√52

=7.211 units

Hence, the distance of FG is 7.211 units

Learn more about distance formula here:

https://brainly.com/question/71956

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Can someone explain/answer this? I think I know the answer but I want to be entirely sure

Answers

Answer:

8

Step-by-step explanation:

2×2⁻³×2⁵ =2¹×2⁻³×2⁵ =2¹⁻³⁺⁵ =2³=8

2p-3 = 3p+2.



answer please!!!!​

Answers

Answer:

- 5

Step-by-step explanation:

Step 1:

2p - 3 = 3p + 2

Step 2:

2p = 3p + 2 + 3

Step 2:

2p = 3p + 5

Step 3:

- p = 5

Answer:

p = - 5

Hope This Helps :)

Answer:

-5

Step-by-step explanation:

2p - 3 = 3p + 2

combine the like terms

-3 -2 = 3p -2p

-5 = p

The area of max'ss room ,not incleding his closet is 235.675 square feet the area of his closet is 10.45 square feet what area of his room ,including the closet

Answers

Given :

Area of room excluding closet is , [tex]a=235.675\ ft^2[/tex] .

Area of closet is , [tex]b=10.45\ ft^2[/tex] .

To Find :

Area of max's room including the closet .

Solution :

Let , area of max's room including the closet is A .

So , Total area = Area of room excluding closet + Area of closet .

[tex]A=a+b\\\\A=(235.675+10.45)\ ft^2\\\\A=246.125\ ft^2[/tex]

Therefore , area of his room ,including the closet is 246.125 square feet .

Hence , this is the required solution .

Can someone explain what the answer is to this and how? Thank u!!!

Answers

The answer is D.
You cannot factorise it as there are two different terms being squared with the middle term containing both. Also, if you expand any of the brackets in the questions you will not get the original equation so non of them are right so it has to be D. :)

Simplify each expression.
20-2.32
0 18
O 11
O 60
O 2.

Answers

Answer:

the answer for this question is 18

Determine whether each identity is true or false.

Answers

Answer:

TrueTrueFalseFalseTrueFalse

Step-by-step explanation:

The numbers 987654321 are written out in a row. Place between them exactly 2 minus signs so that the value of the expression obtained is the minimum.

Answers

Answer:

Step-by-step explanation:

45

Answer:

12

Step-by-step explanation:

It is assumed the order of the numbers doesn't change.

987 - 654 - 321 =333 - 321 =12

Y=2x-1 Y=x+4 Simultaneous equation

Answers

Answer:

(5, 9)

Step-by-step explanation:

Solve by Graphical Method.

I graphed the lines on a graph. The lines intercept at the point (5, 9).

(5, 9) is the solution to the system of equations.

x = 5

y = 9

Hope this helps.

Can someone solve this ASAP!!! pls thx​

Answers

Answer: just add givento number 1 and your all done bro

Step-by-step explanation:

M is the midpoint of RT. RM = 5x + 9 and MT = 8x - 36. Find x, RM, MT, and RT. = .​

Answers

I hope this helps. If you need more help just message me

The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.

What is a System of equations?

simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equations Where RM = 5x + 9 and MT = 8x - 36.

Since,

M is the midpoint of RT

Thus,

RM = MT

5x + 9 = 8x - 36

3x = 45

x = 15

So,

1) RM = 5x + 9

RM = 75 + 9 = 84

2) MT = 8x -36

MT = 120 - 36 = 84

3) RT = RM + MT

RT = 84 +84 = 168

Therefore, The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.

Learn more about the System of equations here:

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A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: = 12 + • , where is the additional charge per minute, and is the number of minutes used. Which equation can be used to find the number of minutes a customer used if we know and ? a. = C-12/a b. =(−12)− c. =−12 d. = −12

Answers

Answer:

-12

Step-by-step explanation:

i had got it right yay

Answer:

:)

Step-by-step explanation:

m=c-12/a

I had this on a test and I got it right

Find the slope of the line that passes through (-4.5, 7/2 ) and (3, 3.5).


-1/6
0
undefined
-6

Answers

Answer:

The slope of the line is 0 (there is no change in the y-axis)

Step-by-step explanation:

Here, we want to find the slope of the line that passes through the given points

We use a formula for this;

Mathematically;

m = y2-y1/x2-x1

Substituting the values;

m= (3.5-7/2)/3.5+4.5 = 0/8 = 0

The slope of the line is 0


What is the value of s in the equation 4(2s - 1) = 75 + 12?

Answers

Answer:

s=91/8

Step-by-step explanation:

4(2s-1)=75+128s-4=878s=91s=91/8

Answer: s=91/8

Step-by-step explanation:

To find the value of s, you want ot use your algebraic properties to isolate s.

4(2s - 1) = 75 + 12                         [distribute by FOIL]

8s-4=75+12                                   [add]

8s-4=87                                         [add both sides by 4]

8s=91                                             [divide both sides by 8]

s=91/8

somebody help i gotta headache ... and i just need someone elses opinion.

Answers

am sorry i forgot the first but the second is transformation and the third is rotation

1) corresponding

2) translation

3)rotation

Hope this helps a lil I'm not for sure tho

Name the sets of numbers to which each number belongs

Answers

i need the numbers or the picture of the question before i answer this please

A group of adults were asked to name their favourite juice. The table gives information about their answers. Work out the angles that would be used to draw a pie chart.

FRUIT JUCE || ORANGE || APPLE || GRAPE || OTHER||

NUMBER || 40 || 27 || 15 || 8 ||

ANGLE || ? || ? || ? || ? ||

Answers

Answer:

ORANGE: 160

APPLE: 108°

GRAPE: 60

OTHER: 32

Step-by-step explanation:

THE SUM OF 40, 27, 15 AND 8 IS 90

90 GOES INTO 360 (THE ANGLES OF A CIRCLE) EXACTLY FOUR TIMES

TO GET EACH ANGLE OF THE PIE CHART YOU SIMPLY NEED TO TIMES EACH NUMBER BY FOUR!

can someone plz help me with this

Answers

Answer: Commutative Property of Multiplication/Addition

Step-by-step explanation:

The commutative property is simple

x + y = y + x

or for multiplication

x * y = y * x

what they said above. hope u do well!!! ^^ <3

What number needs to be added to 5 and 3 so that the ratio of the first number to
the second becomes 3:2?

Answers

4 can be added to 5, and 3 can be added to 3. This should then give you a ratio of 9:6, which reduces to 3:2!

how do you say 19,034,600 in word form?​

Answers

Answer:

nineteen million thirty four thousand six hundred

I think this is right

Step-by-step explanation:

Answer:

Nineteen million thirty four thousand six hundred

Step-by-step explanation:

Lowest common multiple of 6 , 7 and 8

Answers

Answer:

The LCM is 168

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

Lowest common multiple is 168

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