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.

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:

Answer:

Step-by-step explanation:

Answer:

8.465>8.445

Step-by-step explanation:

8.465>8.445

So 8.465 is greater than 8.445

the answer would be C.

Explanation:I got it correct

Answer: c Different slopes; different y-intercepts

Step-by-step explanation:

Answer:

וודי מסיפור הצעצועים יזיין אותך בלילה

Step-by-step explanation:

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.  

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:)

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

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

Answer:

Is there a picture?

Step-by-step explanation:

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

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:

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#SPJ6

Answer:

it would be $2

Step-by-step explanation:

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:

Answer:

-1805.96

Step-by-step explanation:

I think that is the answer

Answer:

-9805.96 this is the answer

Answer: 890

Step-by-step explanation:

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

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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.

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

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!

Answer:

n + 8 = 62.73

the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two negatives cancel

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

Answer:

y=mc

Step-by-step explanation:

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:

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.

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)

Answer:

x=8+1/2

Step-by-step explanation:

Hope this helps, good luck!

Answer:

x=7/2=8.500

Step-by-step explanation:

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: