Prove that the sum of three consecutive integers is divisible by 3

Answers

Answer 1
Since n (any number) + (n+1) + (n+2) is also 3n + 3, it must be divisible by 3 because it is multiple of 3

Related Questions

3(x+3) as an equivalent expressions without parentheses

Answers

Answer:

3x + 9

Step-by-step explanation:

multiply 3 and x and 3 and 4

Answer:

3x+9

Step-by-step explanation:

Answer the following.
(a) A certain solution has a hydrogen ion concentration of 0.0000448 moles per liter. Write this number in scientific notation.

Answers

Answer:

35554555

Step-by-step explanation:

You know 1000 mg = 1g. Convert 2.5 grams into milligrams. ​

Answers

the answer is 2500 milligrams

X+5y=5
What is the slope intercept form of the equation

Answers

in slope intercept form it’s y = 1/5 x - 1

Answer:

y= 1- 1/5x

Step-by-step explanation:

x+5y=5

-x. -x

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

5y = 5-x

÷5. ÷5

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

y= 1 - 1/5x

Find the circumference of the circle. Use 3.14 and the symbol that it shows

Answers

Answer:

r=d/2=18/2=9cm

circumference=2πr=2×3.14×9=56.52cm

I need to solve for x ​

Answers

Answer:

dkdksdldlxlxzkzkdisi

Answer:

Try doing this.

Step-by-step explanation:

If you know the full length of the shape, like a triangle is 180 degrees, you need to take that full length, minus 120, 97, 130, 150, and 90, to get x.

what is the gradient of (0,3) and (1,8)

Answers

Answer: 5/1 = 5

Step-by-step explanation:

The gradient is the slope of something. The slope = rise/run so you just do 8-3 = 5 is the rise and then 1-0 = the run so its a gradient of 5

What are the x- and y-intercepts?

0,3
1,20
3,36
5,28
7,0

Answers

The required x-intercept is (7, 0) and the y-intercept is (0, 3).

What is the intercept in the equation?

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
To find the x-intercept, we need to find the point at which the graph intersects the x-axis. This occurs when the y-coordinate is zero.

The x-intercept is therefore (7, 0).

To find the y-intercept, we need to find the point at which the graph intersects the y-axis. This occurs when the x-coordinate is zero.

The x-intercept is therefore (0, 3).

Thus, the x-intercept is (7, 0) and the y-intercept is (0, 3).

Learn more about intercept here:
https://brainly.com/question/3605446

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PLS I NEED HELP I ONLY HAVE 15 MINS I BEG YOU PLEASE!! :(
In the year 1984 the average American used to eat 55.7 pounds of chicken. This was 2.8 pounds more than the the year 1982 average. By what percent did chicken consumption increase from the year 1982 to the year 1984?

Answers

Answer:

by 28% or 280%

not completely sure

Step-by-step explanation:


Solve for b.
54 = 36 – 9b

Answers

Answer:

b = -2

Step-by-step explanation:

context aaaaaaaaaaaa

Answer:

b = 10

Sorry if this is wrong.

Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number.

The difference between the product of five and a number and three times the number

What is the algebraic expression?

Answers

Answer:

5x-3x = 2x

Step-by-step explanation:

"The difference" = the substraction of two numbers

(something) - (something)

"The difference between the product of five and a number"

By product means multiplication. So, the multiplication of five and a number. Before, you have been told to represent the number with "x", and thats what you will do now.

(5*x) =  (5x)

(5x) - (something)

"The difference between the product of five and a number and three times the number"

With three times the number, we mean the same letter "x" & three times will be the amount of times we will multiply it. So, by the end we will have:

(5x)-(3x)

Now we just rest them

5x-3x= 2x

Hope it was helpful ;)

The difference between the product of five and a number and three times the number will be two times the number and algebraic expression will be 5x - 3x = 2x.

What is an expression?

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given that,

x is that number,

Five times the number = 5x

Three times the number = 3x

Now,

Difference ⇒ 5x - 3x = 2x

Hence "The algebraic expression is  5x - 3x = 2x and The difference between the product of five and a number and three times the number will be two times the number".

To learn more about expression,

https://brainly.com/question/14083225

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Please help! 15 pts!
Ivanna, Andrea, Tabitha and Mary are sisters. Their father tells them that they will not be allowed to travel to Hawaii by themselves until their average age is 21. Right now, their ages are 19, 15, 14, and 12. In how many years will they be able to go to Hawaii?

Answers

Answer:

6 years

their average age now is 15

so, in six years the average age will be 21

Step-by-step explanation:

If im wrong you have my regrets

In a final exam, need this rn (25 points)

Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:

2,020 − 22m

What does the coefficient of the expression represent?

a.The number of months Megan will wait to sell the gadget
b.The monthly depreciation value of the gadget
c. The amount of money Megan will get when she sells the gadget
d.The original value of the gadget

Answers

Answer: B

Step-by-step explanation:

Answer:

the answer to this question would be B

Pls help I’ll give BRAINLIEST

Answers

Answer:

I got 12 for this question...

Step-by-step explanation:

Please please give me brainliest (and have a wonderful day!)

How do you write 6 = h(2) as an ordered pair?

Answers

In order pair it is written as (2,6)
(2,6) hope this helps you your welcome

3. The ratio of the width to the length of a rectangle is 4:5. If the area of the rectangle is 500 square centimeters, what is the length of the rectangle?

5 centimeters
9 centimeters
20 centimeters
25 centimeters​

Answers

Answer:

          25 centimeters​

Step-by-step explanation:

Ratio 4:5 means:

width: W = 4x

length: L = 5x

Area of rectangle:  A = W×L

Therefore:

              500 = 4x×5x

               500 = 20x²

               50 = 2x²

                x² = 25

                x = 5

W = 4×5 = 20 cm

L = 5×5 = 25 cm

4.
-4 + 5n = 18 + 3n
a. -12
b. -11
C.
1.5
d. 11

Answers

Answer:

d

Step-by-step explanation:

-4+5n=18+3n

step 1 add 4 to each side

5n=22+3n

step 2 subtract each side by 3n

2n=22

step 3 divide each side by 2

n=11

Ciara is constructing a tangent line from a point outside the circle as shown. image Which of the following BEST describes the actions that should be in Step 2? A. Construct another circle centered about point B. B. Place point C on the circle and construct a line connecting points B and C. C. Construct the perpendicular bisector of line AB. D. Place point C on the circle and construct the angle bisector of ABC.

Answers

Answer:A

Step-by-step explanation:

please help 4x + 8 + 7x + 3

Answers

Answer:

11x + 11

Step-by-step explanation:

11x

11

=11x + 11

Answer:

11x  + 1 1

Step-by-step explanation:

Simplify

Combine like terms

70 points brainliest just please help me

Answers

Answer:

i cant see the numbers properly

Step-by-step explanation:

but if this gives you youre points , there you go

a b c or d for what is the square root of 36

Answers

Answer:

6

Step-by-step explanation:

square root of 36= 6

I need help on this..​

Answers

Answer:

The slope is 2/3

Step-by-step explanation:

Hope it helps!

The slope is 2/3. I’m almost sure

If JK = 8x + 24 and NO = 20, what is the value of x?

Answers

Answer:

x=2

Step-by-step explanation:

So..

NO=1/2 of JK because the two segments are parallel

Therefore because you have NO plug that into..

NO=1/2JK

YOU GET

1/2JK=20    multiply 2 so you can isolate JK

JK=40

Then plug that back into your JK=8x+24

40=8x+24     next subtract 24 on both sides

8x=16

x=2

Hope this helps!

An airplane flies with a constant speed of 620 miles per hour. How long will it take to
travel a distance of 310 miles? Give your answer in minutes or hours.

Answers

Answer:

30 minutes

Step-by-step explanation:

Alright lets start by laying out what the problem gives us :

A plane flies 620 mph.

It is asking how long it will take to travel 310 miles.

We need to give our answer in minutes or hours.

So lets take mph and look at the full meaning "Miles per hour"

An hour has 60 minutes in it.

So really it is saying miles per 60 minutes as well as miles per hour

So you could say the plane is traveling 620 miles every 60 minutes.

So now lets look at the number 310.

Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!

So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.

Alright now lets divide both the number of miles and number of minutes :

620 miles per 60 minutes

divided by 2 both miles and minutes

310 miles per 30 minutes

So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!

I hope this helps and I could help you understand it. :)

If you have any questions feel free to comment or dm me.

PLEASE HELP ILL GIVE BRAINLIEST AND 5 STARS AND THANKS!!!!! 60 POINTS!!!!


1) y= 2 x- 4 find parallel line through this point (-4,7)

2) y= -6x find parallel line through this point ( 4,9)

3) y= -½ x +3 find the perpendicular through this point ( 0,8)

4) y= -⅓ x find the perpendicular through this point (-2,1)

Answers

Answer:

1: y=2x+15

2: y=-6x+33

3: y=-1/2x+8

4: y=-\frac{1}{3}x+0.333

Step-by-step explanation:

PLEASE HELP ME ASAP?!?!
Find the length of the missing side. Simplify all radicals. please show explanation!

Answers

Answer:

b = 12

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

You can identify that 12√12 is the hypotenuse, as it is opposite to the right angle.

So:

12² + b² = (12√2)²

144 + b² = [(12√2) (12√2)]

144 + b² = (12 × √2 × 12 × √2)

144 + b² = (144 × 2)

144 + b² = 288

b² = 144

√b² = √144

b = 12

PLS IM SO CONFUSLEZZZD
2+2

Answers

The answer is 4 hope this helps kindergartner

Round 3,640 to the nearest thousand.

Answers

Answer:

4,000

Step-by-step explanation:

Answer:

4000

Step-by-step explanation:

plz help i will give brainiest

Answers

Answer:

So I'm guessing its

x| -7, -6, -5, -4, -3

y| -2, 1, 4, 1, 2

Step-by-step explanation:

The answer I got was its a vertex. so yeah. and I think you just put the -2 on the Y

Please help meeeew il mark brainliest​

Answers

Answer:

Correct answer is cylinder

Step-by-step explanation:

I just took this

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