Toby is trying to show his teacher why the product of two rational numbers is another
rational number. His first steps are shown. Which is the best method Toby could use to
proceed?
L
B

Answers

Answer 1

Using the concept of rational numbers, it is found that the best method Toby could use is a multiplication of fractions, as the product of two fractions(two rational numbers) is always a fraction(rational number).

-------------

A rational number, no matter if an integer, a finite decimal or a repeating decimal can always be represented by a fraction.The product of two fractions will always result in a fraction, as the numerator of the multiplication is the multiplication of the numerator of the factors, and same for the denominator.Thus, since the product of two fractions is always a fraction, the product of two rational numbers is always a rational number.

A similar problem is given at https://brainly.com/question/10814303


Related Questions

1. The temperature in Hawaii on Thursday was 85°F. The temperature in Colorado on Thursday was -
5°F. Which expression(s) represent this situation using the absolute value of the difference?
O 85 - 5
O-5-85
O 185 - (-5)
O 15 - 85

Answers

Answer:

-5-85

Step-by-step explanation:

The temperature in Hawaii on Thursday was 85°F.

The temperature in Colorado on Thursday was - 5°F.

The difference in temperature is given by :

[tex]\Delta T=-5-85[/tex]

So, the correct option is (b) "-5-85".

In parallelogram ABCD, LA = 120°. What is AD?
O80°
O 120°
O60°

Answers

angle D is 60° because it is a supplementary angle, meaning 180 (straight line) - 120 (angle A) = 60°

e =
=
5e + 3f = -36
-e + 2f = 2
f = 1

Answers

Answer:

e = -6

f = -2

Step-by-step explanation:

I used the elimination method and multiplied the second equation by 5 to get:

  -5e + 10f = 10.  Added this to:

+  5e + 3f = -36

13f = -26

f = -2

now find e:  -e - 4 = 2

-e = 6

e = -6

What is (-4z + 3y - 5) + (y - 5x + 6)

Answers

Answer:
-5x + 4y - 4z + 1

Explanation:
Simplify and combine like terms

(-4z + 3y - 5) + (y - 5x + 6) =

-4z + 3y - 5 + y - 5x + 6 =

-4z + 4y - 5x + 1

what is the solution in ³√3-x=³√2x​

Answers

Answer:

3√3−x=3√2x

Graph each side of the equation. The solution is the x-value of the point of intersection.

x≈0.46567646

image of graph

Step-by-step explanation:

Hope it is helpful.....

a plywood plank measures 1cm x 8cm x 90cm and it weighs 396g what is the volume

Answers

1 x 8 x 90 = 720cm^3

Pls someone answer pls

Answers

Answer:

x = 44

Step-by-step explanation:

44 goes into 2, 22 times. then 22 + 10 = 32

Which of the following expressions is equivalent to (-3x5y) (-4x9y2)

Answers

Answer:

12x^227xy^2 - 20xy4y^3

Step-by-step explanation:

(-3x5y) (-4x9y^2)

first : -3x (-4x9y^2) = 12x^227xy^2

second: 5y(-4x9y^2) = -20xy45y^3

then we add them (12x^227xy^2) + ( -20xy45y^3)

= 12x^227xy^2 - 20xy45y^3

pls help me find the two words using the letters

Answers

Answer:

nest ,shot,west,then,show,

hope it helps you

Can you do no7 doesn’t matter if u do just one part everything will help

Answers

a) 500
b) 750
c) 500
d) 12500
e) 30000
f) 600

Select the outlier in the data set.
21
52
32
33
28
30
36
40
86
38
34
19

Answers

Answer:

86

Step-by-step explanation:

21   36

52   40

32   86

33   38

28   34

30   19

Which equation can we use to find the equal volume of concrete in cubic feet darlin' needs for the staircase

Answers

Answer:

The equation required to find the volume of concrete is:

L X W X H.

Step-by-step explanation:

L = Lenght

W = Width

H = Height

To calculate the required volume for concrete, you'd need to multiply the measures of all the dimensions together such as the lenght and the breath (which gives you the Area) and the thickness or height of the staircase.

If the calculation is being expressed in Feet, the answer will also be expressed as Volume of concrete in Cubic feet.

Cheers

Solve this equation.
-4 (y - 3) = 36

Answers

-4y + 12 = 36

-4y = 24

y = - 6

Answer:

y = -6

Step-by-step explanation:

To solve for y, you must isolate the variable by first dividing both sides by -4:

-4 (y-3) = 36

÷-4

y-3 = -9

Next, add 3 to both sides and you will get your final answer:

y-3 = -9

+3

y = -6

To check your answer, you can plug in -6 for y to ensure that the overall result is 36:

-4(-6-3) = -4(-9) = 36

36 = 36

Hope this helped!

Need help on this equation please :(

Answers

Answer:

x=7

Step-by-step explanation:

mark me branlist and if anyone help me with my question from my profile would be appriciate.

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-8,4) and (-4, -8).

Answers

Answer:

y = 1/3x

Step-by-step explanation:

Please Help !! (no fake answers please)

Answers

Answer:

$80

Step-by-step explanation:

Substitute x for 40 in both equations. Let's start with 50 + 12x. The equation becomes 50 + 12(40). First, multiply 12 by 40 to get 480. Now add 480 to 50 to get a total of $530 in printing fees for Company A.

Now, let's move on to 10 + 15x. That becomes 10 + 15(40). First, multiply 15 by 40 to get 600. Then add 10 to 600 to get $610 in printing fees for Company B.

Now that we know the total costs, let's subtract them to get our difference. Simply subtract 530 from 610 to get our final answer: an $80 difference in printing fee costs between the companies.

A package of 5 pairs of insulated socks costs ​$37.45. What is the unit price of the pairs of socks​? The unit price is ​$nothing per pair of socks.

Answers

Answer:

i think 6.59

Step-by-step explanation:

which on these sequences are a fibonacci sequence?? HELP ASAP!!

Answers

Answer:

i believe it's c

Step-by-step explanation:

from what I know the fibonacci sequence is numbers that go up by adding the following number so 1+2 is three and then 2+3 is 5

Answer: C

Explanation:
In the Fibonacci Sequence, you just continuously add the last number in the sequence to the next number in the sequence.

Example:
1, 2 (the next number would be 3 bc 1 + 2 = 3 and so fourth.)

Two gears have a ratio of 8:3.
If the smaller gear has 24 teeth
how many teeth does the larger
gear have?

Answers

Step-by-step explanation:

768775567iooi888776432

Someone please help!!! I need this asap! I will mark brainliest if correct!

Answers

Answer:

choice 4) SAS

Step-by-step explanation:

the answer is 4o SAS is the correct answer

5/7x - 14 = -22. Find x.

Answers

Answer:

x = -56/5, -11 1/5, or -11.2

Step-by-step explanation:

5/7x - 14 = -22

5x -98 = -154

5x = -154 + 98

5x = -56

x = -56/5, -11 1/5, or -11.2

Answer:

x= -11.2

Step-by-step explanation:

5/7x-14=-22

      +14 +14        Add 14 on both sides

  5/7x = -8        

(7/5)*5/7x = -8*(7/5)     Multiply by the reciprocal on both sides to leave x alone

  x= -11.2      Answer

POSSIBLE POINTS: 6.67
0
Ross is working on a project for art class using a computer graphics program. Ross wants to
create a rectangular framework for the final graphic. The area to be enclosed by the
framework is represented by the expression 5x2 + 8x - 4. What expressions can be used to
represent the length and width of the rectangular framework?

Answers

the expression for this question of 5x3+8x - 4 would be

brainliest for the correct answer ​

Answers

Answer:

5.5 ft ^2

Step-by-step explanation:

1.5 * 5= 5.5

Progress:
Simplify the expression to a polynomial in standard form:
(3x + 5)(2x2 – 2x – 1)
Answer:
Submit Answer

Answers

    2                                                                                                                                       -6x  -x+15 remove the parennthesies collect like tearms and reoreder like terms then you get your answer

Convert 41 litres to gallons

Answers

Answer:10.8311

Step-by-step explanation: yuh

Solving inequalities.

1. 2x + 3 < 9

2. 4x - 5 > 43

Answers

Answer:

1.   x< 3

2.   x>12

have a great day :)

Step-by-step explanation:

7e = f
What does it mean when a letter and number are together like this

Answers

Answer:

multiplication

Step-by-step explanation:

7 x e = f

Answer:

If a number and letter are together, it means it is a multiplication problem. It is the same thing as 7 x e.

Step-by-step explanation:

We don't know what e is because there isn't a number given to us to solve the problem, so we say 7 x e = 7e, but the equation tells us that 7e = f, so 7 x e is equal to f which means 7e is equal to f.

Let me just give a number to e. Let's say e is 5

7e = f

We already know 7e is the same thing as 7 x e, so let's rewrite it

7 x e = f

We will change e to 5 and multiply the numbers together

7 x 5 = f

Now multiply 7 x 5

35 = f

If 35 is equal to f, that means the value of f is 35, so f = 35 ( I don't know if this makes sense lol)

But let's now take the original equation and assume f is 42

7e = f

Remember, 7e is 7 x e, so rewrite your equation

7 x e = f

Now we will change the f to 42

7 x e = 42

To get e, we will have to think about what multiplies by 7 to get 42. We will have to change this to division. We will divide 42 by 7

42÷7 = 6

That means e is 6. Now let's write the equation with changing e to 6

7 x 6 = 42

7 times 6 is 42, so we will multiply that

42 = 42

Now we have equal answers. Of course, 42 is equal to 42

Overall I'm trying to say 7e = f

I'll solve this again, so you won't have to go back up.

7e = f

7 x e = f

f = f

I hope this makes sense lol

A point S( 8,-2) is reflected across the origin, Find the order pair of its image.



A. ( -8 , 2)


B. ( -8, -2)


C. (2, 8)


D. ( 2,- 8)

Answers

Answer:

the answer is B

Step-by-step explanation:

Do your best

Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured
6 5/9 feet. How much of the board was left?

Answers

B. is the answer i did the test and it was right

A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?

Answers

Answer:

The dimensions are:

Length = 5m and Width = 4m

Or

Length = 4m and Width = 5m

Step-by-step explanation:

A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?

Area of a rectangle = Length × Width

= LW = 20 m²

Perimeter of a rectangle =

2L + 2W = 18 m

Hence:

LW = 20...... Equation 1

L = 20/W

2L + 2W = 18 ...... Equation 2

We substitute

20/W for L in Equation 2

2(20/W) + 2W = 18

40/W + 2W = 18

Multiply through by W

40 + 2W² = 18W

2W² - 18W + 40 = 0

2W² - 10W - 8W + 40 = 0

(2W - 8 )(W - 5) = 0

2W - 8 = 0

2W = 8 , W = 8/2 = 4m

W - 5 = 0

W = 5m

W = 4m or 5 m

Solving for L

When W = 5 m

L = 20/W

L = 20/5

L = 4m

When W = 4m

L = 20/W

L = 20/4

L = 5m

Therefore, the dimensions are:

Length = 5m and Width = 4m

Or

Length = 4m and Width = 5m

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