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Given that p and q are integers,

then find out -(p/q) = (-p)/q = p/(-q)

with real world example.

First of all we have know about Integers

a whole number, a number that is not a fraction.

and secondly Rational numbers

A rational number is any number that can be expressed in the form p/q where 'q' is not equal to zero. The quotient of the rational number p/q is nothing but the result that we get when we divide 'p' by 'q'.

For real world contexts we put some value at the place of p and q.

let p=1

q=2

-(1/2) = (-1/2) =(1/-2)

by evaluate it we get ...

-1/2=-1/2=-1/2

Rules for Negative rational numbers

Hence  If p and q are integers, then -(p/a) = (-p)/q = p/(-q).

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Answer:

The width of Tyrone's actual patio is 16 feet

Step-by-step explanation:

[tex]\frac{2ft}{1in}[/tex] =  [tex]\frac{x}{8}[/tex]   If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft.  What do we need to multiple 1 inch by to get 8 inches?  8.  So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.

Answer:

x=-10/3

Step-by-step explanation:

(2x+4)=-4(-2x-6)

distribute -4 to (-2x-6) by multiplying 

negative multiplied by a negative is a positive 

8x+24=2x+4

subtract 24 from each side 

8x=2x-20

subtract 2x from each side 6x=-20

divide both sides by 6 

-20/6 

simply to -10/3 or -3 1/3 or -3.3

x=-10/3

hope this helps! if you have any questions please ask!

Answer:

Step-by-step explanation:

It is asking for the "mode" which is the data element you see the most, therefore it is 2.

Answer:

4/36 but reduce to lowest terms.

Step-by-step explanation:

The rolls that add up to 5 are 1 and 4, 4 and 1, 2 and 3, and 3 and 2 for a total of 4 possibilities. then divide 4 by the total number of possibilities which is 6 times 6.

4/36 which you can also reduce to lowest terms.

She is diminutive (a very, very small person). She can ask others to hit the top elevator buttons for him because he can't reach them. On rainy days, he presses the buttons with his umbrella.

A statement, question, or phrase with a hidden or double meaning that is presented as a problem to be answered is called a riddle. Enigmas, which are difficulties typically presented in metaphorical or allegorical language that call for inventiveness and careful thought to solve, and conundra, which are questions that rely on puns in either the question or the answer, are two different forms of riddles.

Riddles from hundreds of various civilizations, including Finnish, Hungarian, American Indian, Chinese, Russian, Dutch, and Filipino sources, are cited by Archer Taylor in his statement that "we may definitely claim that riddling is a global art. Riddles and riddle motifs are common across the world.

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The right triangle that shows the length of the two sides is 5.2 and 3.1.

It is required to find the triangle.

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given:

In trigonometry function, in a right triangle, a tangent of an angle x is equal to the ratio of the opposite side to angle x to the adjacent side to angle x.

According to given question we have:

Given that angle x will be:

[tex]x=tan^{-} \frac{3.1}{5.2}[/tex]

The opposite to angle x or perpendicular = 3.1 units

The adjacent side to angle x or base angle  = 5.2 units

Therefore, the right triangle that shows the length of the two sides is 5.2 and 3.1.

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Answer:

b

Step-by-step explanation:

The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and  C(x) = 1200 + 14.75(x - 40), where x > 40

The given parameters are:

Reserve = $500

Cost per guest = $17.50 for the first 40 guests

Cost per guest = $14.75 for each additional guest

The above means that

C(x) = 500 + 17.5x, where x <= 40

C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40

Next, we evaluate the functions

This gives

C(x) = 500 + 17.5x, where x <= 40

C(x) = 1200 + 14.75(x - 40), where x > 40

To do this, we simply plot each function with its domain

See attachment for the graph of the piecewise functions

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The value of 5x + 5y is 2500 by substitution method.

According to the given question.

We have two equations

2x + 3y = 1200

3x + 2y = 1300

Since, we have to find the value of 5x + 5y by substitution method.

From equation 2x + 3y = 1200

2x = 1200 - 3y

⇒ x = [1200 -3y]/2

Substitute the value of x in 3x + 2y = 1300.

⇒ 3[1200 - 3y]/2 + 2y  = 1300

⇒   3[600 -3y/2] + 2y = 1300

⇒ 1800 - 9y/2 + 2y  = 1300

⇒ 1800 + (4y - 9y)/2  = 1300

⇒ (4y - 9y)/2  = -500

⇒ -5y = -1000

⇒ y = 200

So,

x = [1200 - 600]/2  = 600/2 = 300

Thereofore, the value of 5x + 5y by substitution method is given by

5(300) + 5(200)

= 1500 + 1000

= 2500

Hence, the value of 5x + 5y is 2500 by substitution method.

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Answer:

21 g

Step-by-step explanation:

12g

+ 9g

_____

21g

======

I think this is the answer but i can't confirm because your theory and my theory can be different

The width of rectangle is 5 feet.

Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).

Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -

Perimeter = 2 × (length + width)

Keep the values in formula to find the value of width

26 = 2 × (x + x - 3)

Performing addition of variables inside the bracket

26 = 2 × (2x - 3)

Shifting 2 to other side of equation to find the value of x

2x - 3 = [tex]\frac{26}{2}[/tex]

Performing division to find the value of x

2x - 3 = 13

Shifting 3 to other side of equation to find the value of x

2x = 13 + 3

Performing addition to find the value of x

2x = 16

Shifting 2 as denominator to other side of equation to find the value of x

x = [tex]\frac{16}{2}[/tex]

Performing division to find the value of x

x = 8

So, length of rectangle is 8 feet

Width of rectangle = x - 3

Width of rectangle = 8 - 3

Width of rectangle = 5 feet

Hence, the width of rectangle is 5 feet.

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Answer:

No one can answer this

Step-by-step explanation:

You need to add a picture or something because we need more information. This could be a graph, a number line, etc.

Answer:

(Image 1)

d(A,C)=10d(C,B)=8

d(A,B)=d(A,C)+d(C,B)=10+8=18

(Image 2)

AB=AC−BC

=10−8=2

Step-by-step explanation:

Answer: f(k)=4k² - 6k +7

Step-by-step explanation:

f(x)=4x² - 6x +7

f(k)=4k² - 6k +7

The option for  sequences are arithmetic are:

From the first option we can see that -5,5,-5,5… dose not follow any sequence  of arithmetic.

if we take the  18,5.5, –7, –19.5, which are the digits from the second option and if we find their differences we will get 12.5

Then if we take the numbers from the 16, 32, 48, 64 and find the differences between the first two numbers as well as the last two numbers then we will have 16.

Therefore, since we can have constant results between consecutive numbers then it is sequence  of arithmetic.

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Answer:

Alright

Ignore the 20, We have 5(x-2)
Brackets mean Multiplication

So, Multiply 5 with x and multiply 5 with 2

=> 20 = 5x - 10

Transpose the 20 to the other side

the twenty being transposed to the other side becomes Minus because it is in plus

And bring 5x in front of the =

=> 5x = 20 - 10
=> 5x = 10

So now we have 5x but we need x so transpose the 5 to the other side

by transposing the five becomes division because its in positive so

=> x = 10 ÷ 5

=> x = 2

Kaboom, All done!

The vertex of the equation g(x) = I x ₊ 6 I is (₋6 , 0).

Given the equation is g(x) =  I x ₊ 6 I

The equation of the absolute value function  is:

y = I x ₋ h I ₊ k where (h , k) is the vertex.

When the input is 0, the vertical axis will be intersected by the graph of an absolute value function. The horizontal axis is not usually where they cross. Depending on how the graph has been moved and reflected, it may or may not cross the horizontal axis.

compare the given equation to the above form.

y = I x ₊ 6 I ₊ 0

y = I x ₋ (₋6) I ₊ 0

hence we (h,k) as (₋6 , 0)

Therefore the coordinates of the vertex are (₋6 , 0)

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Answer:

-13, -7.9, -7.7, -3.3, 0.1, 2.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 110

hope this helps :)

The equation, in slope-intercept form, of the line zw is y = x.

It is given that, equation of the line pq is:-

y = -x + 2

Also, line pq is perpendicular to line zw

zw passes through the point z (11,11).

We have to find the equation, in slope-intercept form, of the line zw.

The slope intercept form of a line is:-

y = mx + b

Where,

m represents slope of the line,

(x,y) represents every point on the line

b represents the y-intercept of the line

We know that, when two lines are perpendicular, the product of slopes of the lines is -1.

Let the slope of the line zw be m.

Hence,

m*(-1) = -1

m = 1

As it passes from the point z(11,11).

Hence, we can write,

11 = 1(11) + b

11 = 11 + b

b = 0

Hence, the slope intercept form of the line zw is y = x .

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The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

Firstly, refer to the image attached for the complete question.

Now,

Given: The value of the digit in the hundreds place in 653,841 is: 800

Now, the following cases arise for the given options:

Value of digit in the thousands place = 8000

=> 1/10 the value of the digit =  [tex]\frac{1}{10}(8000) = 800[/tex]

Value of digit in the thousands place = 9000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(9000) = 900[/tex]

Value of digit in the thousands place = 4000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(4000) = 400[/tex]

Value of digit in the thousands place = 7000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(7000) = 700[/tex]

Out of all the options, as shown above, only Option A satisfies the given condition.

Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

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Answer: p - 1 > 6, or p > 7

Step-by-step explanation:

   We will write an expression from the sentence given.

difference of a number (p) and 1 ➜ p - 1

is greater than ➜ >

    The difference of a number p and 1 is greater than 6​ ➜ p - 1 > 6

   To solve for the possible values of p, we will add 1 to both sides of the equation;

p > 7

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well, tis noteworthy that whenever we have an absolute value equation is really a piece-wise function in disguise, namely the absolute expression is really two in disguise.

[tex]8x=2|6x-2|\implies \cfrac{8x}{2}=|6x-2|\implies 4x=|6x-2|\implies \begin{cases} 4x=+(6x-2)\\ 4x=-(6x-2) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 4x=+(6x-2)\implies 4x=6x-2\implies 0=2x-2 \\\\\\ 2=2x\implies \cfrac{2}{2}=x\implies \boxed{1=x} \\\\[-0.35em] ~\dotfill\\\\ 4x=-(6x-2)\implies 4x=-6x+2\implies 10x=2\implies x=\cfrac{2}{10}\implies \boxed{x=\cfrac{1}{5}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x= \begin{cases} 1\\[1em] \frac{1}{5} \end{cases}~\hfill[/tex]

The possible widths of the play area is  mathematically given as

This is further explained below.

Generally, the equation for perimeter  is  mathematically given as

P =2(l+w)

180 =2(l+w)

2(l+w) =180

[tex]l+w = \frac{180}{2}[/tex]

l+w =90

A =l \times w

1800 &=l *w

l *w =1800

l *w =1800

Substitute Eq. 3 in the Eq. 2:

l *w=1800

(90-w) *w=1800

90w-ww=1800

90w-w^2=1800

w^2-90 w+1800=0

Therefore

w^2-90 w+1800 =0

[tex]\left(w^2-30 w\right)+(-60 w+1800) =0[/tex]

w(w-30)-60(w-30) =0

(w-30)(w-60) =0

Thereofre

w =30

w=60

In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.

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The Second and third car seats are appropriate for a 32-ib child

The first car :

The range  30 ≤x< 32

    So it is not possible for a car seat appropriate for a 32-ib child.

The second car:

The range 15<x <40

     So it is possible for a car seat appropriate for a 32-ib child.

The third car:

The range 30< x< 85

   So it is also possible.

Hence the second and the third ranged car is possible for a 32-ib child.

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Answer: so Justin pays 0.49 per pound for each pumpkin

Give me brainliest if it is correct

Step-by-step explanation: so Justin a 20 purchased a pound Pumpkin for 9.80 so first

you put [tex]\frac{9.8}{20}[/tex] and when you divide you get  0.49

35 degrees Celsius is equal to 95 degrees Fahrenheit.

What is the formula for Celsius to Fahrenheit?

Without a calculator, how do you convert from Celsius to Fahrenheit?

F = 9 / 5 * 35 + 32

F = 63 + 32

F = 95

35 degrees Celsius is equal to 95 degrees Fahrenheit.

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If the total cost before tax was $11.5, then the cost of each bottle of juice j= $1.6 which can be found by the equation 5j + $3.50 = $11.50.

The cost of each bottle can be determined by using an algebraic expression.

An algebraic expression can be defined as the use of both numerals and letters in a mathematical equation.

To find the cost of each bottle, an algebraic expression can be given as,

Cost of a 5-pack of juice bottles + Cost of popcorn = Total cost before tax

5j + $3.50 = $11.50

Solving for j,

5j = 11.50 - 3.50

5j = 8

j = 8/5

j = $1.6

Hence, the cost of each bottle from a 5-pack of juice bottles is calculated to be $1.6

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Answer:

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.

Hope this helps :)

Answer:

See below

Step-by-step explanation:

Slope intercept form for a line equation is :

  y = m x + b      m is the slope of the line

                          b is the y-axis intercept ( this occurs when x = 0)