Now that you’ve created your hypotheses, it’s time to prove them. First, look at the sum of two rational numbers. Let’s say they are two rational numbers, x and y. Because they’re rational, they can be written as a ratio of integers. Let x = and y = , where a, b, c, and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c, and d is shown. Statement Reason substitution Create common denominators. Simplify. Based on this sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.

Answers

Answer 1

The question is missing parts. Here is the complete question.

Now that you've created your hypotheses, it's time to prove them. First look at the sum of two rational numbers. Let's say they are two rational numbers, x and y. Because they're rational, they can be written as a ratio of integers. Let [tex]x=\frac{a}{b}[/tex] and [tex]y=\frac{c}{d}[/tex], where a, b, c and d are integers and b and d do not equal 0. The process for finding the sum x + y in terms of a, b, c and d is shown in the figure below.

Based on the sum and using the closure property of integers, what conclusion can you make about the sum of two rational numbers? Explain your answer.

Answer: The sum of two rational numbers equals a rational number.

Step-by-step explanation: Rational number is defined as a number that can be made by dividing two integers.

Closure Property of Integers states the sum or subtraction of two integers always gives an integer.

Using the definition of rational and expanding the property, we can conclude that the sum of two rational numbers will result in a rational number, as demonstrated in the table below.

Now That Youve Created Your Hypotheses, Its Time To Prove Them. First, Look At The Sum Of Two Rational

Related Questions

Harry needs 21 square meters for every 6 wizard cloaks he makes

Answers

Answer:

Harry needs 21 square meters of fabric for every 6 wizard cloaks he makes then Equal ratios = 21/6 = 7/2 = 14/4. Step-by-step explanation: Complete Question is : Complete the table using equivalent ratios.

Step-by-step explanation:

The total number of students enrolled at Twin Rivers Middle School is 2,000
students. If the ratio of boys to girls is also 3 to 2 for the school, how many students
are boys and how many students are girls at Twin Rivers Middle school?

Answers

Answer:

1200 boys and 800 girls

Step-by-step explanation:

since the ratio is 3:2 i just added the ratio to get 5 then divided that by how many total students there were giving me 400, then multiplied it by 3 for the boys and by 2 for the girls. giving me 1200 and 800

(sorry if this is confusing)

Add the ratios together: 3 + 2 = 5

Divide total students by 5:

2000 / 5 = 400

Multiply each ratio by 400:

Boys = 400 x 3 = 1200

Girls = 400 x 2 = 800

Find the area of the Compound shape

The answer is 108 m^2 and 27 cm^2

I just need the steps....

Answers

Answer:

Step-by-step explanation:

6² + 12 × 6 = 36 + 72 = 108 m²

[tex]\frac{3*6}{2}[/tex] + 6 × 3 = 9 + 18 = 27 cm²

Answer:

108

Step-by-step explanation:

(iv) -3/-11 + 5/9 step explanation ​

Answers

Answer:

82/99

Step-by-step explanation:

-3/-11 + 5/9 =

Two negatives cancel

3/11 + 5/9 =

LCM of 9 and 11 is 99, bringing into common denominator of 99

3*9/11*9 + 5*11/9*11 =27/99 + 55/99 =            82/99

please help
what is the solution to the equation below?
34x + 95 = 3 (14x + 9)​

Answers

Answer:

x=8+1/2

Step-by-step explanation:

Hope this helps, good luck!

Answer:

x=7/2=8.500

Step-by-step explanation:

The points (3,-2) and (2,1) are both solutions to which inequality

Answers

Slope form —> y=3x+7
Standard form —> 3x+y=-7

Suppose that 2 were subtracted from each of the values in a data set that
originally had a standard deviation of 7.5. What would be the standard
deviation of the resulting data?
A. 2
B. 7.5
C. 9.5
O D. 5.5

Answers

Answer:

Option B. 7.5 is the correct answer

Step-by-step explanation:

Let us define standard deviation first.

Standard deviation is the square root of variance. Standard Deviation tells us that how far are the values in a data set from the mean.

Now, if a constant is subtracted from all values of a dataset, the standard deviation remains the same. Only the origin or mean of the data changes by subtracting a constant from whole data set.

Given that the standard deviation of dataset is 7.5

Subtracting 2 from each value of dataset will not change the standard deviation as 2 is a constant.

Hence,

Option B. 7.5 is the correct answer

Answer:

7.5 it stays the same

Step-by-step explanation:

Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation. Bernadette bought six more fish for her tank. How can you model this situation? The situation can be modeled by algebra tiles with and . The situation can be represented as an algebraic expression as .

Answers

Answer:

1. one orange x tile

2. six orange + tiles

3. x + 6

Step-by-step explanation:

The situation can be represented as an algebraic expression as:  

y = x + 6

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Bernadette bought six more fish for her tank,

Suppose, Bernadette has x number of fish already

the expression for the total number of fees can be written as,

Total number of fees  = Number of fees he has already + 6

                                    = x + 6

⇒ y = x + 6

Hence, the given condition can be expressed as  y = x + 6

To know more about Expressions check:

brainly.com/question/16804733

#SPJ6

Minus one thousand ,eight hundred and five point nine six as a number

Answers

Answer:

-1805.96

Step-by-step explanation:

I think that is the answer

Answer:

-9805.96 this is the answer

Consider the following equations: y = x minus 2. y = 2 x minus 2. y = negative x minus 2. y = negative 2. Discuss the similarities and difference in the graphs of these equations. (Use a graphing calculator if needed.) a. Same slopes; different y-intercepts b. Same slopes; same y-intercepts c. Different slopes; same y-intercepts d. Different slopes; different y-intercepts

Answers

the answer would be C.

Explanation:I got it correct

Answer: c Different slopes; different y-intercepts

Step-by-step explanation:

An employee of an auction house has a list of 25 recently sold paintings. Eight artists were represented in these sales. The sale price of each painting is on the list. Would the correlation coefficient be an appropriate way to summarize the relationship between artist (x) and sale price (y)? Why or why not?

Answers

Answer:

Step-by-step explanation:

Given that:

A list of 25 recently sold paintings in an auction house is available, and eight artists were represented in the sales.

The objective is to determine if the correlation coefficient would be an appropriate way to summarize the relationship between the artist (x) and sale price (y).

From the information given;

NO, The correlation coefficient would not be an appropriate way to summarize the relationship between artist (x) and sale price (y).

The reason is being that since variable (x) is the artist and which is regarded as the categorical variable even though it is attributed to numerical values, it cannot and will not be used in quantitative studies like correlation.  

Solve five and three sixths minus two and one third.

( Im Giving brainliest and extra points on this one :D)


A) Two and three eighteenths

B) Two and two ninths

C) Three and two ninths

D) Three and three eighteenths

Answers

Answer:

Option 4: [tex]3\frac{3}{18}[/tex] is the correct answer.

Step-by-step explanation:

The given fractions are mixed fractions. the mixed fractions have to be converted into proper fractions before performing any operation like addition, subtraction etc.

Given fractions are:

[tex]5\frac{3}{6}-2\frac{1}{3}[/tex]

Converting into proper fractions

[tex]=\frac{33}{6} - \frac{7}{3}[/tex]

Making the denominator same

We have to multiply first fraction by 3 and second by 6

[tex]=\frac{33*3}{6*3} - \frac{7*6}{3*6}\\=\frac{99}{18}-\frac{42}{18}\\=\frac{99-42}{18}\\= \frac{57}{18}[/tex]

Converting into mixed fraction: [tex]=3\frac{3}{18}[/tex]

Hence,

Option 4: [tex]3\frac{3}{18}[/tex] is the correct answer.

Answer:

3and3/18

Step-by-step explanation:

the mass of a rock same is 25 g and its density is d5d/cm cubed. What is the volume of the rock?

Answers

Answer:

וודי מסיפור הצעצועים יזיין אותך בלילה

Step-by-step explanation:

The Ted Williams Tunnel under Boston Harbor is 8,448 feet long. How many yards is the length of the tunnel?

Answers

Answer:

2816 yards

Step-by-step explanation:

In order to find the answer, you would need to divide 8,448 by 3 because there are 3 feets in a yard.

Hope this helps and pls do mark me brainliest if you can:)

write an equation for the graph using point-slope form

Answers

Answer: y-6=5/6(x-4)

Step-by-step explanation:

using the 2 points to find the slope (-2,1) and (4,6):

(6-1)(4--2)=5/6

y-6=5/6(x-4)

HELP!! Determine whether the pair of lines are parallel, perpendicular, or neither. 8x=3y+2 -16x+6y=2.

Answers

Answer:

24x - 9y=0

Step-by-step explanation:

8x=3y+2-16x+6y=2

8x=9y+2-16x=2

8x+16-9y=2-2

24x-9y=0

George bought 2.5 pounds of each type of fruit shown on the sign what was the total cost of the fruit he bought

Answers

Answer:

it would be $2

Step-by-step explanation:

Compare. Select <,>, or=.
8.465? V 8.445

Answers

Answer:

8.465>8.445

Step-by-step explanation:

8.465>8.445

So 8.465 is greater than 8.445

SURVEYS Alana surveyed several students to find the number of hours of sleep they typically get each night. The results are shown in the table. Make a bar graph of the data.

Answers

Answer:

You have to make a bar graph that shows the hours of sleep each student gets. Sharla gets the most sleep and Kate gets the least.

Step-by-step explanation:

Explanantion is in answer.

I know it's sloppy but here's mine!

any help will be helpful and you have to make ur own graph paper if you don't have none he said but please help I don't understand

Answers

Step-by-step explanation:

do you need graph paper?

just minus the 2nd cordnates x to the 1dt cordnates x and same for the y. that will give you the distance for each x and y points

Mr. G drove a total of 252 miles and used 42
used dia
gallons of gas last weekend. What is the unit
rate of miles to 1 gallon?
R

Answers

Answer: 890

Step-by-step explanation:

On a photograph an ant is enlarged at a scale 25:1. In the photo, the ant's leg is 15 cm. What is the actual length of the ant's leg?

Answers

Answer:

3/5cm

Step-by-step explanation:

Let's solve your equation step-by-step.

x(25)=15

Step 1: Simplify both sides of the equation.

25x=15

Step 2: Divide both sides by 25.

25x /25 = 15/25

x = 3/5

Actual length of ant's leg is 0.6cm

Let the actual length of ant's leg = a

Scale = 25 : 1

Length in photo = 15 cm

Express as a an equation :

25 × actual length = 1 × length in photo

25a = 15

a = 15 / 25

a = 0.6

Hence, actual length of ant's leg is 0.6cm

LEARN MORE : https://brainly.com/question/18112348

Ms. Chibbaro packs 6 almonds for every 3 craisins (cranberry raisins) in her snack pack. She has 12 more almonds than craisins.

Answers

If this is asking how many craisins. She has 12. Craisins and 24 almonds.

Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles.

Answers

Answer:

Is there a picture?

Step-by-step explanation:

Someone please help...​

Answers

Answer:

y=mc

Step-by-step explanation:

Which equation has a solution of 54.73 for n?
n +8 = 62.73
n - 8 = 62.73
62.73 + 8 = n
8-46.73 = n​

Answers

Answer:

n + 8 = 62.73

the first one

Step-by-step explanation:

hey I am working on identify slope and intercept​

Answers

Answer:

hey hows ur day

Step-by-step explanation:

mins good

Answer:

Ok, so slope is basically the steepness of the line, and intercept is when it crosses the x or y axis.

Step-by-step explanation:

To identify the slope, find two points on the line, then use this equation to find the slope: [tex]\frac{y2 - y1}{x2 - x1}[/tex], where x1 and y1 are the coordinates of the first point on the line, and x2 and y2 are the coordinates of the second point on the line. y2 - y1 is called the rise, and x2 - x1 is called the run. Then, to find the intercept (commonly the y-intercept), you must find the point at which the line crosses the axis. This is the easiest part because you just need to find a point on the axis. When you need to find the y-intercept, look for where the line crosses the x-axis, and when you need to find the x-intercept, look for where the line crosses the y-axis.

You are going on a hike with 3 other people. You decide to divide the bottles of water evenly among the group. Write an expression to find the number of bottles each person will carry. Find the total number of bottles each person will carry if there are 16 bottles.​

Answers

16/4=4 but I don’t really know if it needs the answer or not because it’s asking for an expression, and the/ is another way of writing division

FREE ANSWERS PEEPSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

Ok

Step-by-step explanation:

Answer:

US basketball legend Kobe Bryant and his daughter Gianna were among nine people killed in a helicopter crash in the city of Calabasas, California. Bryant, 41, and Gianna, 13, were travelling in a private helicopter when it came down and burst into flames. The LA county sheriff said there were no survivors.

What percentage of the guesst at this hotel called for room service yesterday?

Answers

Answer:

   

Step-by-step explanation:

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