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2 years ago

Prove that the sum of three successive even integers is always a multiple of 6.

Mathematics

1 answer:

zlopas [31]2 years ago

5 0

Answer:

if you see three consecutive numbers you can figure out that at least one of them is divisible by 6

Step-by-step explanation:

you can use mathematical induction by proving it mathematically. for a number to be divisible by 6, it should be divisible by 2. Since all are even numbers the number will be divisible by 2.

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Solve for m. -19m − 19 = 4m − 4m + 19

dangina [55]

-19m-19 = 4m-4m+19
-19m-19 = 0+19
-19m = 19+19
-19m = 38
m = 38÷(-19)
m = -2

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3 years ago

Mr. O'Connor had $90 to spend at a football game. He spent 31/45 on his ticket. Then, he spent 3/7 of his remaining money at the

Kobotan [32]

He has $90 in total to spend

He spent (31/45) of this money on ticket

so money spent on ticket =(31/45) *90 =2790/45 =62

Now money left with him is 90-62 =28 $

Now it says that he spent (3/7) of this remaining money at concession stand

so money spent on concession stand =(3/7)*28 =84/7 =12

Now money left with him = 28-12 =16

So money left with him is $16 but hat costs for $18

So Mr. O'Connor didnt have enough moeny to buy the hat

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3 years ago

How to write 5x+11x using the distributive property

Vedmedyk [2.9K]

Answer:

the player will win

Step-by-step explanation:

the team wont win

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3 years ago

What's the area of this triangle

Luda [366]

Answer:

D A = (1/2) (y₂ - y₁)(x₃ - x₁)

Step-by-step explanation:

b = (y₂ - y₁)

h = (x₃ - x₁)

A = (1/2)bh

A = (1/2) (y₂ - y₁)(x₃ - x₁)

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2 years ago

The independent variable of a data set is x,while the dependent variable is y.which of these is a response variable

Fudgin [204]

Answer:

Dependent variable is a response variable

Step-by-step explanation:

Search up definition for response variable and it literally saids it's another word for dependent variable haha

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2 years ago

Read 2 more answers

Prove that the sum of three successive even integers is always a multiple of 6.​

Prove that the sum of three successive even integers is always a multiple of 6.