Prove that the sum of five consecutive natural numbers is even​

Answers

Answer 1

Answer:

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

Step-by-step explanation:


Related Questions

A student walks 1/4 miles from her home to the store on her way to a friends house. If the store is 1/3 of the way to her friends house, how far is her friends house from her home?

Answers

Answer:

4/12 I think

Step-by-step explanation:

Answer:

3/4 of a mille.

Step-by-step explanation:

1/3 * 1/4

x=1/4*1/3

x=3/4

3/4 of a mile

Find the value of x in 3x + 4y = 8 and 4x - 4y = 6.

Answers

Answer:

x = 2

Step-by-step explanation:

by adding both equations ,

we get 7x = 14

that's why x = 2 .

mark me as Brainliest

If you help me I’ll give brainliest and 20 points only answer if you know pls and thank you

Answers

it’s 1 and the 3 you’re welcome :)

Answer:

(2/3)^4 and (4/9)^2

Step-by-step explanation:

Drew and Larry are working together on a jigsaw puzzle. Drew places 11 less than 3 times the number of pieces that Larry places. Drew places at least 10 pieces. How many pieces does Larry place?

Answers

Answer:

Larry places 19 puzzles

Step-by-step explanation:

Step one:

given data

let the number of puzzles Larry places be x

and let the number of puzzles Drew places be y

so

y=3x-11

Step two:

We are told that Drew places at least 10

so for x= 10

y= 3*10-11

y=30-11

y=19

Now that they have retired, Jordan Keniston and his wife have decided they need a smaller home. After selling their current home, they have $87,000 to use as a down payment. The home they are purchasing is $113,700. What is the amount of their mortgage loan?

Answers

Answer:

$26,700

Step-by-step explanation:

113,700-87000=26,700

Identify the coefficients in the expression below.


10x + 19


**pls help fast!!!

Answers

Answer:

10

Step-by-step explanation:

the Coefficient in an expression is the number before the variable. In this case, since the variable is x, and the number before it is 10, the coeficcient is 10.

your answer is 10 !!

Simplify the expression (3.5x - 2.7y) + (-12.8x + 15.8y)

Answers

Answer:

−9.3x + 13.1y

Step-by-step explanation:

Answer: Its -9.3x+13.1y :)

Step-by-step explanation:

3(1/2y - 2.5) + 2(3/12y - 1)

Answers

Answer: 2y - 9.5  

Step-by-step explanation:

3(1/2y -2.5) + 2(3/12y - 1)  First distribute      

3/2y - 7.5 + 6/12y - 2   Combine like terms  

18/12y + 6/12y  - 7.5-2  

24/12y - 9.5

2y  - 9.5

Question 3
3 pts
(06.04)
What is the value of 6 + 2x when x = 5? (3 points)
04
0 13
016
O 40
Please answer fast!

Answers

Answer:

C its 16  

Step-by-step explanation:

i would not give the wrong answer

Hank made 6 out of 8 foul shots ,while Nelly made 8 out of 20 foul shots (A) Who scored the most baskets? (B) Compare Hank and Nelly to determine whose son is more accurate

Answers

Answer:

(A) Hank

(B) Hank

Step-by-step explanation:

Hank made 6 out of 8 foul shots Nelly made 8 out of 20 foul shots

(A) Who scored the most baskets?

Converting the shots to decimal

Hank = 6/8 = 3/4 = 0.75

Nelly = 8/20 = 1/4 = 0.40

The person who scored the most baskets is Hank

(B) Compare Hank and Nelly to determine whose son is more accurate

Determining who is more accurate,

Hank = 6/8 = 3/4

This means out of every 4 shots, Hank scored 3

Nelly = 8/20 = 1/4

This means out of every 4 shots, Nelly scored 1

Therefore, Hank is more accurate

need help again . i don’t understand this one either!

Answers

Answer:

h = 10

Step-by-step explanation:

H= 10 I’m pretty sure

How many solutions does this equation have? 2 + 6x 2 = 3x + 3 A) no solution B) exactly one solution C) exactly two solutions D) infinitely many solutions

Answers

Answer:

IT HAS NO SOLUTION

Step-by-step explanation:

need help please due in 10 minutes!!!Thank you soo much if you answer it

Answers

i would say b) 75° :)

Answer:

D 115

Step-by-step explanation:

180-65=115

180 cuz it's a straight line

please answer below thx.

Answers

Answer:

24 cm

Step-by-step explanation:

Since, both the Pentagons are similar. So, their corresponding sides would be in proportion.

Therefore,

[tex] \frac{4}{4x} = \frac{(x + 2)}{48} \\ \\ \frac{1}{x} = \frac{(x + 2)}{48} \\ \\ x(x + 2) = 48 \\ \\ {x}^{2} + 2x = 48 \\ \\ {x}^{2} + 2x - 48 = 0 \\ \\ {x}^{2} + 8x - 6x - 48 = 0 \\ \\ x(x + 8) - 6(x + 8) = 0 \\ \\ (x + 8)(x - 6) = 0 \\ \\ x + 8 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 8 \: \: or \: \: x = 6 \\ \\ \because \: x \: cannot \: be \: - ve \\ \implies \: x = 6[/tex]

Width of badge = 4x = 4*6 = 24 cm

Solve the proportion.

Answers

Answer: What’s the proportion?

Step-by-step explanation:

4/5 = n/15

N= 12


Hope this helps

Paula asks a classmate to be her partner for a class project, and he agrees to work with her. Next, her friend Nick picks a partner, too. Are these two events dependent or independent?

A dependent

B independent

Answers

Answer is dependent they are both looking for someone to work with.

Randalstown rugby club play 20 matches and win 17 of there matches. What percentage of the matches did they win

Answers

Answer:

The Randalstown rugby club has won 85% of the matches.

Step-by-step explanation:

17*100/20=85%

Answer:

85%

Step-by-step explanation:

Which inequalities have the solution set graphed on the number line? Select two options.
5
--3-2-1
0 1 2
0x<-4
04 D-4SX
-4>
ox>4

Answers

Answer:

A,C,D

Step-by-step explanation:

took the test

1. Find the degree of the polynomial.
5n^20 p^2 x^6

Answers

Answer:

6

Step-by-step explanation:

kelly is 4 feet,3 inches tall

Answers

Answer: 51 inches

Step-by-step explanation:

1st find out how many inches in 1 foot

There are 12 inches in a foot so then you would multiply

12x4 =48

Then add the other 3 inches

The points represented by the (x, y) coordinate pairs in the
table below all lie on line k.
X
1
2.
3
4
5
у
3
1
- 1
-3
-5
What is the slope of line k?
A
-2
B
-3
C
2
D
5

Answers

Step-by-step explanation:

For every increase in the x-value by 1,

the y-value decreases by -2.

(From 3 to 1 and from 1 to -1)

Hence, slope of line k

= Rise/Run = (-2)/1 = -2. (A)

Using it's formula, it is found that the slope of line k is of -2, hence option A is correct.

Given two points (x,y) on a line, the slope is given by the change in y divided by change in x.

In this problem, two of the points are: (1,3) and (2,1).

Hence, applying the division:

[tex]m = \frac{1 - 3}{2 - 1} = -\frac{2}{1} = -2[/tex]

The slope of the line is of -2, hence option A is correct.

A similar problem, in which the objective is also finding the slope, is given at https://brainly.com/question/14829050

Graph 16x+8y=24 on a coordinated plane?

Answers

Answer:

To find the x-intercept, substitute in  0  for  y  and solve for  x .To find the y-intercept, substitute in  0  for  x  and solve for  y .  x-intercept(s):  ( 3/2, 0)  y-intercept(s):  ( 0 , 3 )

A group of students takes their math teach out for lunch. If five have hamburgers and three have hot dogs, the bill will be $24.25. If three have hamburgers and five have got dogs, the bill will be $21.75. What is the price of a hamburger?

Answers

Answer:

46

Step-by-step explanation:

Answer:

8.07 I belive

Step-by-step explanation:

URGENT: A grocer has 150 kg of walnuts that sell for $6 per kg. She plans to add almonds that sell for $5.30 per kg to the walnuts to make a mixture that sells for $5.50 per kg. How many kg of almonds should she add? (MUST SHOW WORK)

Answers

Answer:

let c = cashew pounds, w = walnut pounds, m = mixed pounds

Here's what we know:

c + w = m

7c + 5.5w = 6.50m

m = 35

So we now have:

c + w = 35

7c + 5.5w = 227.5

We can use substitution or elimination here. Let's try substitution in this case:

c = 35 - w

7(35 - 7) + 5.5w = 227.5

245 - 7w + 5.5w = 227.5

245 - 1.5w = 227.5

-1.5w = -17.5

w = 11 2/3

Now to solve for cashews:

c = 35 - 11 2/3

c = 23 1/3

Check:

23 1/3 * 7 + 5.5 * 11 2/3 = 227.5

163 1/3 + 64 1/6 = 227.5

163 2/6 + 64 1/6 = 227.5

227 3/6 = 227.5

227.5 = 227.5

Step-by-step explanation:

i hope write answer

domain and range help

Answers

(-Infinity,Infinity) and [0, Infinity)

20 POINTS URGENT! PLEASE HELP! FAKE ANSWERS REPORTED!

Answers

Answer:

AD=35

Step-by-step explanation:

The difference between FJ-GH is equal to the difference between EK-FJ

Lets call this difference "D"

so

(7x+2)-(8x-7)=D    

simplifying

7x+2-8X+7=D

-x+9=D

(10x-1)-(7x+2)=D

simplifying

10x-1-7x-2=D

3x-3=D

now D=D so

-x+9=3x-3

12=4x

x=3

solving each known line equation for x:

8(3)-1=17

7(3)+2=23

10(3)-1=29

The line gets longer each time by 6

AD=EK+6=35

Your Body Is Completely Your Temple
And I Didn’t Peek
And Yes You’re Lady Gaga
I’m Not A Thief
I Will Never Steal From Ya

Every Winter And Summer
And Autumn And Every Season
You Will Be All Mine




Answers

Answer:

:D

Step-by-step explanation:

What is the y - intercept?

A. 0
B. 1
C. 2
D. 7​

Answers

Answer:

(0,7)

explanation:

if you draw out the graph you would see the graph touches the y axis at 7


Practice :

1. Find a line that is parallel to f(x) = 2x +3 and passes through (0,-4).

2. Find through line that is perpendicular to f(x) = 2x+3 and passes through (0,-4)

Answers

Answer:

1)The equation of the Parallel line is 2x -y -4=0

2) The equation of the perpendicular line of the given line x+2y+8=0

Step-by-step explanation:

Step(i):-

Given function f(x) = 2x+3 and passes through (0,-4)

Let y =f(x) = 2x+3

    y = 2x+3

⇒ 2x -y +3=0

The equation of the parallel line of the given line 2x - y +k =0

This line is passes through the point (0,-4)

⇒ 2 (0) -(-4)+k=0

            4 +k=0

        ⇒    k =-4

The equation of the Parallel line is 2x -y -4=0

2)

Step(ii):-

Given function f(x) = 2x+3

Let y = 2 x + 3

 2x - y +3=0

The equation of the perpendicular line   bx -ay +k=0

The equation of the perpendicular line of the given line -x-2y +k =0

This line is passes through the point (0,-4)

⇒  (0) -2(-4)+k=0

            8 +k=0

        ⇒    k =-8

The equation of the perpendicular line of the given line -x-2y -8 =0

The equation of the perpendicular line of the given line x+2y+8=0

Jane measured out $9.75 worth of Jolly Ranchers at a candy store. If Jolly Ranchers are $3.25 per pound, how many pounds did she buy?

Answers

Answer:

3 pounds

Step-by-step explanation:

If you add $3.25 three times, you get $9.75.

Other Questions
who fought for the independence of mexico? t = (F^3 + G)a Find a Pls help.. my question is... .. Solve: 5 - 2x < 21 Two friends live 7 miles apart.One Saturday,the two friends set out on their bikes at 8am and started riding towards eachother one rides at 0.2miles per minute,And the other rides at 0.15 miles per minute,At what time will the two friends meet Multiply 2.85 x 12.8=...Worth 10 brain point things if you get it right, I know the answer anyway UwU Need help with these Find the area of the figure. Round your answer to the nearest hundredth, if necessary.A semicircle with a diameter of 14 centimeters.about cm2 I NEED THIS NOWWW PLS HELPPPP Write the equation for the proportional relationship. (Don't use spaces) Please help. It's a math question and I am not good at math. Two objects are dropped from a bridge, an interval of 1.00 s apart. What is their separation 1.00 s after the second object is released What is the missing side length of the triangle below?49 m87 m If a straight path in the park is 900 feet long, how long would the path be when represented on the map? help this is my midterm is -27 divided by (-3) positive or negative & how Complete the table.(Type whole numbers or decimals.) Which of the following is NOT one of the Five Pillars of Islam?Options:Muslims must truly believe that there is no God but Muhammad.Muslims must be generous to the poor.Muslim may not eat or drink from sunrise to sunset during Ramadan.Muslims must pray five times a day. Solve each system.y=6x + 62x -6y= -2 I need this math question solved fast please!!! - Interest: A sum fetched a total simple interest of $ 4016.25 at the rate of 9 %.p.a. in 5 years. What is the sum?