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

1. 12 more than m



A. m - 12
B. 12 - m
C. m + 12
D. 12 + m

2. g less than 36

A. 36 - g
B. g - 36
C. 36 + g
D. g + 36

3. 17 times s

A. 17 + s
B. s/17
C. 17s
D. 17 - s

4. u tripled

A. 3u
B. 3 - u
C. u/3
D. 3 + u

5. 4 less than k

A. 4 - k
B. k - 4
C. 4 + k
D. k + 4

Answers

if you more like this^^^^^^^^^^

Answer:

1.D

2.A

3.C

4.A

5.B

hope it's helpful ❤❤❤❤

THANK YOU.

#

A farmer fed 9 bags of food to his 5 cows. Each cow ate the same amount of food. How many bags of food did each cow eat?

Answers

Answer:

1.8 bags

Step-by-step explanation:

you just divide 9 by 5

The number of bags of food that each cow eats will be 1.80 bags.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A farmer fed 9 bags of food to his 5 cows. Each cow ate the same amount of food.

Then the number of bags of food that each cow eats will be given as,

⇒ 9 / 5

⇒ 1.80 bags

The number of bags of food that each cow eats will be 1.80 bags.

More about the Algebra link is given below.

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9 yards times 3 over 1 times 2 over 1 =54 over 1

Answers

Answer:

yeah

Step-by-step explanation:

thanks, 5 star, brainliest pls

HELP
ME
PLEASE THIS IS URGENT

Answers

Answer:

meters/second

Step-by-step explanation:

That's a velocity unit :).

Answer:

Meters/Second

y=-3/7x(-1/7) whats the slope and y-intercept

Answers

Answer:

Step-by-step explanation:

Slope= -3/7

Y x intercept = -1/7

Answer:

the slope is -3/7

y int is -1/7

-4
Solve the equation
3
+
x + 1
x-1
2-x
a.
5
c.
6
13
15
b. 9
d.
13
15

Answers

The answer would be a. 5/13

What is the geometric mean of 9 ad 100

Answers

The geometric mean is 9.4868

Subtract - 7x2 + 1 from – 2x2 - 4x.

Answers

Answer:

11-4x

Step-by-step explanation:

Brianna bought snacks for her team's practice. She bought a bag of oranges for $2.63 and an 8-pack of juice bottles. The total cost before tax was $16.07. Write and solve an equation that can be used to determine xx, how much each bottle of juice costs?

Answers

Answer:

$1.68

Step-by-step explanation:

The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68

Answer: 1.68

Step-by-step explanation: It depends how your teacher thought how to solve this but the easiest way would be: 16.07 - 2.63 = 13.44 than 13.44 divided by 8= 1.68.

Three bus tickets cost $5.

How many bus tickets can you buy with $15?

Answers

Answer: 9 tickets

Step-by-step explanation:

Answer what you can please and show work. I will mark you brainliest.

Answers

Answer:

part 1:

1) AB = BC = 10

2) DE = sqrt(10² - 9²) = sqrt(19)

3) CED = 90⁰

4) BCD = (90⁰ - 53⁰).2 = 74⁰

part 2:

because FGHJ is a rhombus

=> GK = KJ

<=> 3x + 1 = x + 9

<=> 2x = 8

<=> x = 4

and we have:

GHK + FGK = 90⁰

<=> (4y - 8)/2 + y + 4 = 90⁰

<=> 2y - 4 + y + 4 = 90⁰

<=> 3y = 90⁰

<=> y = 30

5) with x = 4 => GJ = 2KJ = 2.(4 + 9) = 26

6) JK = 4 + 9 = 13

7) with y = 30, HFJ = 90 - FGK = 90 - 34 = 56⁰

8) HJF = 2.FGK = 2.34 = 68⁰

part 3:

because MNLO is rectangle

=> MP = PO

<=> 5a - 7 = 2a + 8

<=> 3a = 15

<=> a = 5

9) with a = 5, MO = 2.PO = 2.(2.5 + 8) = 2.18 = 36

10) NP = PO = 2.5 + 8 = 18

11) LM² = LN² - MN² = MO² - 26² = 36² - 26² = 620

=> LM = 2sqrt(156) = 24,9

12) tan NMO = NO/MN = LM/MN = 24.9/26

=> NMO = 43,8⁰

part 4:

because RSTU is square

=> SR = RU

=> 2k + 7 = 3k - 2

<=> k = 9

with k = 9 =>RU = SR = 2.9 + 7 = 25

13) RV = 1/2.SU = 1/2.sqrt(25² + 25²) = 17,7

14) SU = 2RV = 2.17,7 = 35,4

15) perimeter RSTU = 25.4 = 100

16) area RSTU = 25² = 625

Solve the simultaneous equations.
2x + y=120
x + y=70

Answers

Answer:

(50, 20)

Step-by-step explanation:

y = -2x + 120

x + (-2x+120) = 70

  -x = -50

x = 50

 y = -2x+120

 y = -2(50)+120 = 20

{x,y} = {50,20}  

Which statement is true about the given information

Answers

Answer:

BD = CE

Step-by-step explanation:

HELP! I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The answer is A

Please answer questions one and two

Answers

Number 1 is point p
Number 2 62.5 points

Randi and Peter are planning a surprise party for Mike and have
requested your services as a party planner. They have a budget of
$460 to spend on the party. Randi and Peter have found two
different companies, Party Your Socks Off and Party Planet, to cater
the event, and would like you to determine which company offers
the best deal based on their budget of $460.

Answers

Answer:

the best deal to cater the party isparty planet

-x+y = 5
x - 5y = -9
Solve by elimination
Y and x

Answers

Answer:

x = -4 and y = 1

Step-by-step explanation:

-x + y = 5

+ x - 5y = -9 <— let’s eliminate x

————————————-

-4y = -4

y = 1

x - 5y = -9 <— substitute for y

x - 5(1) = -9

x - 5 = -9

+5 = +5

x = -4

The student council sold 113 sodas for $141.25 at the fall festival. What is the cost per soda?

Answers

Answer:

cost of 113 sodas =141.25

cost of 1 soda=141.25/113

=1.24

where does x go in the fraction?
15/100 = ?/?

Answers

the answer is 0.15 message me for more help
The answer is 0.15 hope this helped

WOSJAJZHQHDJC HELP PLEASE ‍♀️‍♀️‍♀️

Answers

Answer:

Step-by-step explanation:

either b or c not sure

A company has to buy computers and printers. Each computer, x, costs $525 and each printer, y, costs $315. If the company spends $7,770 and buys a total of 20 machines, how many of each did it buy?
Enter a system of equations to represent the situation, then solve the system.
The system of equations is ___ and ___ .
The company bought ___ computers and ___ printers.

Answers

I think it is the answer b because I think it the right choice I think you should choose B ok have a great day.

Three ballet dancers are positioned on stage. Luca is straight behind Seth and directly left of
Avery. If Seth and Luca are 2 feet apart, and Avery and Seth are 6 feet apart, what is the
distance between Luca and Avery? Ihnecessary, round to the nearest tenth.

Answers

Answer:

8 feet apart

Step-by-step explanation:

cuál es el resultado de 3/5 - 1/2?

A._ 1/10
B._ 2/7
C._ 2/3
D._ 4/7​

Answers

La respuesta es la C :

2/3

What is the area of this triangle?

Answers

Answer:

The area of the triangle is 24 inches.

Step-by-step explanation:

First you multiply 8 by 6.

8 * 6 = 48

Next you divide by 2 because a triangle is half of a square.

48 ÷ 2 = 24

So, the answer is 24.

Hope this helps! :)

The area of triangle with base 6 inches and height 8 inches is 24in² .

Given, Right angled triangle .

Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex]

Here,

b = base of triangle

h = height of triangle

Substitute the values,

Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex]

[tex]= \frac{1}{2} \times 6 \times 8\\ = 3 \times 8\\= 24in^2[/tex]

Know more about area of triangle,

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Amanda has an envelope that is 2 1/4 inches tall. The envelope is 4 1/3 times as long as it is tall. How long is her envelope?

Answers

Answer:

its 2 1/2 its width

Step-by-step explanation:

DO ALL FOR A BRAINLIST AND A THANKS <333 pls help

Answers

Answer:

1. 11/12

2. 1/2

3. 2/3

4. 3/4

5. 1

6. 4/5

7. 9/10

8. 3/5

Step-by-step explanation:

1. 11/12

2. 5/10= 1/2

3. 4/6=2/3

4. 6/8=3/4

5. 3/3=1

6. 4/5

7. 9/10

8. 3/5

Answer:

1. 11/12

2. 3/3

3. 1/2

4. 4/5

5. 2/3

6. 9/10

7. 3/4

8. 3/5

Step-by-step explanation:

since the denominators are the same, you just add the top numbers together. in order to simplify, you find the greatest common factor for both the top and the bottom number.

What is the mad of the following data? 8, 2, 7, 8, 6, 10, 2, 1, 10, 6

Answers

2 and 10 I’m pretty sure

what is the prime factor of 350

Answers

Answer:

If we put all of it together we have the factors :2 x 5 x 5 x 7 = 350.

Step-by-step explanation:

It can also be written in exponential form as 21 x 52 x 71.

Hope this is helpful .

Answer:

Step-by-step explanation:

draw the prime factor tree of 350

you can choose any 2 numbers that equals 350, then continue in that way by choosing any 2 numbers that equals the number that's on top of the 2 other numbers when multiplying, except 1×number, because it won't help you to get the prime factors of a specific number, unless it's a prime number so you don't need to multiply by any number

                                                             350

                                                     35             10

                                                 5        7       2     5

350=2×5×5×7

                                                 

                                                       

What is the quotient of 9/14 and 2/7

Answers

Answer: Hi, the answer is 9/4 or C!

Step-by-step explanation:

You would take 2/7 and multiply both the top and bottom by 2 to make it 4/14, the. youd flip 4/14 into 14/4, then multiply the top numbers (9 and 14 by eachother to get 126) then multiply the bottom numbers ( 14 and 4 to get 56) and simplify the new fraction (126/56) to get 9/4!

Jerome is a dietician who tracks his daily caloric intake from different sources of nutrients. Here are summary statistics for his daily values: Let T represent the total calories from fat, protein, and carbohydrates that Jerome consumes on a randomly chosen day. Find the standard deviation of T​

Answers

Answer:

It can not be determined from the information given because the calorie sources are not independent.

Step-by-step explanation:

Explained in answer above.

There is no enough information to calculate the standard deviation of T.

Check below on how to determine the standard deviation

What is standard deviation?

The standard deviation of a dataset is how much the data elements of the dataset are far from the mean or average value of the dataset

The given parameters are the mean and the standard deviations of calories from fat, protein, and carbohydrates

These values are not enough to determine the standard deviation of T

Hence, there is no enough information to calculate the required standard deviation

Read more about standard deviation at:

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