Write an algebraic expression that corresponds to "the opposite of a number "

Answer:

n-1,n,n+1

Step-by-step explanation:

let the numbers be x,x+1,x+2

x+x+1+x+2=3n

3x+3=3n

3x=3n-3

x=1/3 (3n-3)=n-1

so mumbers are n-1,n,n+1

The three consecutive numbers are n-1, n, and n+1.

We have to determine, the three consecutive numbers if their sum is 3n.

According to the question,

The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.

Let, the three consecutive numbers be x, x+1, and x+2.

The sum of three consecutive numbers is equal to 33.

[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]

Therefore,

The first consecutive number is,

[tex]\rm x = n-1[/tex]

The second consecutive number is,

[tex]\rm x+1 = n-1+1 = n\\[/tex]

The third consecutive number is,

[tex]\rm x+2= n-1+2 = n+1\\[/tex]

Hence, The three consecutive numbers are n-1, n, and n+1.

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Answer:

Rectangle

Step-by-step explanation:

Did it on

Option A is correct.

As, Quadrilateral PQRS is a rectangle because it has four right angles.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

Explanation:

Given:

The coordinate of vertices of quadrilateral PQRS are P(3,7), Q(6,-2), R(0,-4), S(-3,5).

Slope for two points (x1,y1) and (x2,y2) is given by:

m = y1-y2/ x1 - x2

.so, we get,

The slope of PQ is = -9/3 = -3

The slope of QR is = -2/-6 = 1/3

The slope of RS is = -3

The slope of SP is = 1/3

we know that,

The slopes of perpendicular lines are opposite reciprocals.

we get,

∴ all pair of sides has slopes that are negative reciprocals;

this means the figure  has 4 right angle, so it is  a rectangle.

Therefore, Quadrilateral PQRS is a rectangle because it has four right angles.

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Answer:

what is that i dont answering this sorry

(6, 11)

hope this helps!

Answer: 126

Step-by-step explanation:

A=2(wl+hl+hw)

Answer:

9.87

Step-by-step explanation:

6%= 0.06

0.06 +6.50 = 6.56

16.43 - 6.50 = 9.87

Answer:

x=65

Step-by-step explanation:

Answer: 84.6

Step-by-step explanation: Based on the given conditions, formulate: 90 x 94%

Calculate the product or quotient: 84.6

get the result: 84.6

Hopefully that helps you! :)

1. The quotient is 0.5.

2. She will use 0.7m long for each frame.

3. Each child received 0.71 Php.

4. Each son will receive 0.85 hectares.

5. Each bag contains 0,93 kilos.

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Answer:

Step-by-step explanation:

i dont know.

Answer:

1

Step-by-step explanation: i am not sure

Answer: positive correlation

Step-by-step explanation:

sorry if im wrong

Answer:

  x ≠ -3

Step-by-step explanation:

Adding 4x-72 to the first inequality gives ...

  -12 < 4x

  -3 < x . . . . . divide by 4

Adding -11 to the second inequality gives ...

  14x < -42

  x < -3 . . . . divide by 14

Now we have ...

  x < -3 or x > -3

The solution is x ≠ -3.

_____

The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.

Answer:

y= 1/2

Step-by-step explanation:

      y=-4 -3y+x

<=> y + 3y = -4 + x

<=> 4y = -4 + 6

<=> 4y = 2

<=> y = 1/2

Answer:

yw

Step-by-step explanation:

Answer:

ok so first you got to wait All the faith he had had had had no effect on the outcome of his life. ...

2 One morning I shot an elephant in my pajamas. ...

3 The complex houses married and single soldiers and their families. ...

4 The man the professor the student has studies Rome.

Step-by-step explanation:

Answer:

lol hi :D

Step-by-step explanation:

Answer:

Hey what's up?

Step-by-step explanation:

How's life

Answer:

40000

Step-by-step explanation:

Simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is the amount borrowed , R is the interest and T the time in years

Here I = 2000 , R = 5 and T = 1 with P to be found , then

2000 = [tex]\frac{P(5)(1)}{100}[/tex] ( multiply both sides by 100 )

5P = 200000 ( divide both sides by 5 )

P = 40000

Answer:

The sum (Principal) is Rs.4000.

Step-by-step explanation:

Given :

To Find :

Using Formula :

[tex]\star\small{\underline{ \boxed{\sf{\red{S.I = \dfrac{P \times R \times T}{100}}}}}}[/tex]

Solution :

Substituting all the given values in the formula to find the Simple Interest :

[tex]{\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5 \times 1}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{5P}{100}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \dfrac{100}{5}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \cancel{\dfrac{100}{5}}}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}[/tex]

[tex]{\dashrightarrow{\small{\sf{P =Rs.40000}}}}[/tex]

[tex]\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}[/tex]

Hence, the sum Bharat borrowed is Rs.40000.

[tex] \rule{190}1[/tex]

Answer: y=5/3x+3

Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation

Para desplazar o trasladar una figura siempre mueva la figura de acuerdo al ángulo o distancia indicado sin modificar el tamaño o características de la figura.

El desplazamiento o traslación de una figura implica el desplazamiento de la figura de acuerdo a un ángulo determinado o distancia.

Este desplazamiento generalmente cambia la posición de la figura pero nunca debe cambiar:

Nota: Esta pregunta esta incompleta porque no hay información sobre las figuras que se deben trasladar ni las preguntas a responder, por está razón respondí la pregunta basado en conocimiento general.

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Answer:

Point A

Step-by-step explanation:

Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.

Hope this helps!

Answer:

a = 28°

Step-by-step explanation:

62°+a° = 90°

a = 90 - 62

a = 28°

Answer:

Step-by-step explanation:

Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.

Conclusion:

Therefore, the measure of the missing angle is 28°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

===========================================================

Explanation:

Lets go through the points one by one

So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality

[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]

We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.

[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]

That's also true. Therefore, the point (5,3) is a solution to the system overall.

Your teacher wants you to find a non-solution, so we must cross choice A off the list.

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

Let's now try choice B. We have x = 4 and y = 3

[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]

That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.

Answer:

x 2-2 3-3

y 5 5  7 7

Step-by-step explanation:

Each domain, or x value, can only be matched with one y value, so given this, the third one is the answer since every domain is only matched with one range, or in other words, there are no repeating domains in on the x row of the table.

The table that represents a function is

x  2  -2  4   -4

y  8  8   12   12

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function can have many to one but a function can not have one to many.

So,

From the table,

x  2  -2  4   -4

y  8  8   12   12

This is a many-to-one function.

All the other tables are one-to-many functions.

Thus,

The table that represents a function is

x  2  -2  4   -4

y  8  8   12   12

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Answer:

22 feet.

Step-by-step explanation:

Arc Length= Ø / 360 degrees * 2pir

(2pir = 2 * pi * radius)

Given: r = 7 feet

Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2

Arc length: 1/2*2pi*7 = 21.99 ft

22 ft when rounded!

The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.

The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.

Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.

The length of the arc will be calculated as below:-

Arc Length= Ø / 360 degrees * 2pir

(2πr = 2x π x radius)

r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2

Arc length =  1/2  x 2 π x 7 = 21.99 ft

Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.

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Answer:

13. 15

14. 7.25

15. 18.7

16. 40.515

17. 9.6

18. 12.95

19. 20.4

20. 16.2

21. 24

22. 25.65

Answer:

Part A, 3550$

Part B, Ten female ferrets left

Step-by-step explanation: