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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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Help please i don’t know how to do it

nekit [7.7K]

Answer:

x + 3y = 15

Step-by-step explanation:

Line is passing through the points $(3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)$

Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3

Equation of line in point-slope form is given as:

$y-y_1 =m(x-x_1)$

Plugging the values of $x_1,\: y_1\: and \: m$ in the above equation we find:

$y-4 =-\frac{1}{3}(x-3)$

$\implies 3y-12 =-x+3$

$\implies x+ 3y =12+3$

$\implies \huge {\orange{\boxed{x+ 3y = 15}}}$

This is the required equation of line in the form $\red{\bold{ax + by = c}}$

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2 years ago

Rock-music sales represented 24.8% of the total music sales in 2000. By 2007, rock-music sales represented 32.4% of the total mu

baherus [9]

Answer:

Unit Rate of Change = 1.27%

Step-by-step explanation:

In 2000, t=1 and Total Music sales = 24.8%

In 2007, t=7 and Total Music sales = 32.4%

The Slope $m=\dfrac{32.4-24.8}{7-1} =\dfrac{7.6}{6}=1.27\%$

The Unit Rate of Change is 1.27% and it means that the Total Music Sales Increased by approximately 1.27% every year.

8 0

3 years ago

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Percy is filling a cylindrical tank with water. The tank is

Archy [21]

Answer:

Step-by-step explanation:

78x9=702

702/6=117 minutes.

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3 years ago

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Which is greater, 35% of 60 or 30% of 80?

lara [203]

35% of 60 = (35/100)*60 = 0.35 * 60 = 21

30% of 80 = (30/100)*80 = 0.30 * 80 = 24

24 is greater than 21.

30% of 80 is greater.

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3 years ago

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the sum of the measures of the angles in a triangle is 180°. What is the value of x in the triangle?

Allushta [10]

Answer:

x = 32

Step-by-step explanation:

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3 years ago

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.