Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts

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

Answer 2
You cannot prove it, because it isn’t true. 1+2+3+4+5 = 15.
n+(n+1)+(n+2)+(n+3)+(n+4) = 5n+10 = 5(n+2)

Related Questions

Can someone help me with this math problem?
4x+10=22

Answers

-10 from both sides so
4x=12
divide both sides by 4
x=3

Answer:

x=3

Step-by-step explanation:

4x+10=22

Subtract 10 from both sides.

4x=22−10

Subtract 10 from 22 to get 12.

4x=12

Divide both sides by 4.

x=  12/4

Divide 12 by 4 to get 3.

x=3

A supermarket has found that the relationship between a day's high temperature and the amount of money taken in on that day from frozen yogurt sales can be modeled by the equation y = 4x + 164, where x is the high temperature in degrees Fahrenheit and y is the amount taken in from frozen yogurt sales in dollars. Which of these statements is true according to the model?

Answers

I am sure It will be 168x

Answer:

On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.

Step-by-step explanation:

Find the measure of angle E

Answers

9514 1404 393

Answer:

  ∠E = 48°

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°.

  (5x +3)° +88° +(10x +7)° +127° = 360°

  15x = 135 . . . . divide by °; subtract 225

  x = 9 . . . . . . . . divide by 15

Then angle E is ...

  ∠E = (5·9 +3)°

  ∠E = 48°


Keshia's restaurant bill is $27.00. She wants to leave a 15% tip. How much money will Keshia need in all

Answers

Answer:

30.05

Step-by-step explanation:

10% 27 = 2.7

5% 27 =1.35

2.7+ 1.35 = 3.05

27 + 3.05 = 30.05

Give the system of inequalities x-2y=15. 2x+4y=-18 what are x and y

Answers

Answer:

For x-2y=15, it's x= 15 + 2y. For 2x+4y=-18, it's x= -9-2y.

Step-by-step explanation:

PLEASE HELP IM BEGGING
System of equation
y=-2x-10
y=-3x+5

Answers

Answer:

(15,-40)

Step-by-step explanation:

Answer:

1. x, -5 y, 10

2. x, 2 y, 5

Step-by-step explanation:

I couldn't screenshare the graph so i just gave you were to graph the answers

Graph y= -2x+7. Help please

Answers

Answer:

There you go fam, That website is really useful btw, you should use it, if u want ill give you the link, just comment

Step-by-step explanation:

10 ft р area = 170 ft​

Answers

Answer:

170 square feet

Step-by-step explanation:


A 24-foot ladder leans against a building. The foot
of the ladder is 7 ft from the building. Find the
measure of the angle which the ladder makes with
the level ground.

Answers

Answer:

73°

Step-by-step explanation:

Here we use trigonometry to find the angle. The building and the ground form a perpendicular angle, with the ladder acting as the hypotenuse, we get a right angle. We know the length of adjacent leg from the angle, and the length of the hypotenuse. In this case, we use cosine since cos = adjacent length/hypotenuse length. So cos x= 7/24. To isolate x, we use the inverse function of cos, cos^-1. Then x= cos^-1 (7/24) or 73°.

What is 1,000,000 written as a power with a base of 10?

Answers

Answer:

101=10 101=1

106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)

107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

108=100,000,000 (one hundred million) 10-7=0.0000001 (one ten millionth)

Step-by-step explanation:

Answer:

10^6

Step-by-step explanation:

what is 62.8 divided by 4

Answers

Answer:

15.7

Step-by-step explanation:

use a calculator lol

62.8 divided by 4 would equal 15.7

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "62.8" was replaced by "(628/10)".

STEP

1

:

           314

Simplify   ———

            5

Equation at the end of step

1

:

 314

 ——— ÷ 4

  5

STEP

2

:

        314      

Divide  ———  by  4

         5      

Final result :

 157            

 ——— = 15.70000

 10  

helopppppppppppp meeeeeeee

Answers

Answer:

A. Sam owes his dad $12.50

Step-by-step explanation:

Because the two numbers are negatives, it represents that he is in a negative balance meaning that he owes someone the money. Then if you do the basic math, -2.5 - 10 = -12.50.

Answer:

The answer would be B

Step-by-step explanation:

its B becasue its the only explanation that makes sense

P.S I actually know the other questions don't make sense

Your welcome!

asking for the equation

Answers

Answer:

x=-6

Step-by-step explanation:

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

a dog walks 696 steps in 12 minutes. how many steps in 12 minutes

Answers

Answer:

696 steps

Step-by-step explanation:

SPORTS A coach uses a metric to determine the athletes that make the Varsity, Junior Varsity A, and Junior Varsity B teams. The total number of points possible on a skills test is 350. Athletes will make "Varsity" with at least 90% of the points. Athletes will make "Junior Varsity A" for 70-89% of the points. Athletes will make "Junior Varsity B" for 50-69% of the points. The table shows the number of points for each athlete that tried out.

Answers

Answer:

there is no picture. :)

Step-by-step explanation:

Answer:

Varsity = 12

Jr Varsity A = 10

Jr Varsity B = 11

Step-by-step explanation:

Varsity = at least 90%  = 350 times 90% = 315

Anything 315-350

Jr Varsity A = 70-89%

350 times 70% = 245

350 times 89% = 311.5

Jr Varsity b = 50-69%

350 times 50% = 175

350 times 69% = 241.5

if you put 3/7 as a decimal what is the 351st number of the decimal

Answers

Answer:

8

Step-by-step explanation:

3/7 = 0.(428571), period of 6 digits351 = 58*6 + 3The 351st number is the 3rd number of the 6-digit period, which is 8

Exercice 6:
23
:
لكن لا شرر حشری ست
ارح مردها از من
دنیا
ا - لاک 24 - 3.27
32 2
/
/
مه
2
3 ​

Answers

Ummmmmm what is this ?

The diagram shows a semi-circle inside a rectangle of length 120 m.
The semi-circle touches the rectangle at A, B and C.
Not to scale
A
C
120 m
Calculate the perimeter of the shaded region,
Give your answer correct to 3 significant figures,
(5 marks)
I

Answers

Answer:

Answer is 30 m

Step-by-step explanation:

First calculate the cricumfrance of the circle, then divide it by 4 and thats the edge of the shaded area and the radius is the other edjes im pretty sure

Which triangles are similar to triangle ABC?

Answers

Answer:

Not 100%

Step-by-step explanation:

Um... I would say both but im not 100% sure. Probably should get some more help

18. This data set shows the total points scored per game by the varsity basketball team during last year's season.
60
65
67
62
65
67
63
65
68
64
65
70
64
66
90
Click on the blank and select the correct word or phrase that describes the shape of this data distribution.
The data distribution
is symmetric.
is skewed left.
is skewed right
can't be determined.

Answers

Answer:

Try skewed left or cannot be determined

Step-by-step explanation

Find the measure of the angle, θ, where 0° ≤ θ ≤ 90°.
sinθ = 1/2

Answers

Answer:

[tex]\theta = 30^{\circ}[/tex]

Step-by-step explanation:

Given:

Range: [tex]0^{\circ} \le \theta \le 90^{\circ}[/tex]

[tex]Sin \theta = \frac{1}{2}[/tex]

Required

Find [tex]\theta[/tex]

[tex]Sin \theta = \frac{1}{2}[/tex]

Take arcsin of both sides

[tex]sin^{-1}(sin\theta) = sin^{-1}(\frac{1}{2})[/tex]

[tex]\theta = sin^{-1}(\frac{1}{2})[/tex]

Using the sin table

[tex]\theta = 30^{\circ}[/tex]

Can you help me on question eight?!

Answers

Answer: A

Step-by-step explanation:

help me with math pleaseee

Answers

Answer:

Step-by-step explanation:

2d+4g+2e+2f

-6x=6 what is x Can you guys help me get the awnser I am very stuck

Answers

Answer:

x = -1

Step-by-step explanation:

-6x/-6 = 6/-6

x = -1

Answer:

X= -1

Steps I used to get the answer:

1. Divide both sides by −6.

x=-1

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

Checking:

−6x=6

1. Let x=-1.

−6×−1=6

2. Simplify −6×−1  to  6.

6=6

Done by NeighborhoodDealer

is this similiar or not similar ? NEED HELP HURRY!!!

Answers

Answer:

it should be not similar if I'm correct

Answer:

I think its similar

Step-by-step explanation:

:) sorry if i'm wrong!!

Help please this is urgent

Answers

25a-5a


Hope this helps!!!!

Answer:

25 - 5a

Step-by-step explanation:

5(5 - a)

25 - 5a

Hope this helps, thank you !!

Is 0.7 bigger or 0.75

Answers

Answer: 0.75 Is bigger

Step-by-step explanation:

0.7 is 0.70

meaning 0.75 is bigger.

Answer:

.75 is larger

Step-by-step explanation:

Think about it in terms of whole number. 75 is greater than 70, therefore .75 is greater than .70

There is a hidden 0 after the .7

Simplify the expression:
-12 - 4x + 9 + -10 + 8x

Answers

Answer:

Step-by-step explanation:

4x-13

Answer:

4x - 13 there you go!!!

Step-by-step explanation:

are 4/5 and 1/2 equivalent explain

Answers

Answer:

They are not equivalent

Step-by-step explanation:

4/5 can equal to .80 to 80%

While 1/2 on the other hand

1/2 can equal to .50 to 50%

4/5≠1/2

Answer:

no they are not equivalent

Step-by-step explanation:

if you look at 1/2 you can already infer that in decimal form it is .50 (so its half of 100, sorry if that doesn't make sense!), and if we look at 4/5 we can tell that in decimal form it is .80 because 100÷5 =80. so therefore, 4/5 and 1/2 are NOT equivalent.

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