3 years ago

Prove that for all natural numbers n 8n-3n is divisible by 5

Mathematics

2 answers:

Yuri [45]3 years ago

8 0

$8n-3n=5n$

One of the factors is 5, so the number is divisible by 5.

sertanlavr [38]3 years ago

6 0

8n-3n=n(8-3)=n(5)=5n=5 times n
5 is a factor of 5n so it is evenly divisible by 5
and since n is a natural number, it is the multiplier to make multipules of 5

You might be interested in

Someone anyone please please I am begging help me

zaharov [31]

Answer:

Step-by-step explanation:

Since (8x-20) and (3x+2) are two sides of the angles on one plane, we can structure them into an equation to find x.

(8x-20) + (3x+2) = 180

We want x to be on one side and all the numbers to be on the other. But first, we must combine our two problems.

-20 + 2 = -18; 8x + 3x = 11x

So now our equation is:

(11x-18) = 180

In order to move our numbers to one side and leave our x's on the other, we must inverse our additions/subtractions/etc.

180 + 18 = 199

11x = 199

199/11 = 18.1

x=18.1!

Regards!

8 0

2 years ago

Read 2 more answers

Today, Olivia has $127 in her savings account. She will deposit $5 into the account each week. Given x>0 , which function rep

nevsk [136]

C because it's x means weeks so $5 a week is 5x and she already has 127 so 5x+127.

7 0

3 years ago

Look at this triangle work out length bc

Natali [406]

Answer:

perpendicular = 10.24 cm

Step-by-step explanation:

by pythagorus theorem,

$h {}^{2} = b {}^{2} + h {}^{2}$

( where, h = hypotenuse, b = base,

p = perpendicular )

so,

=》

$13 {}^{2} = 8 {}^{2} + p {}^{2}$

=》

$169 = 64 + p {}^{2}$

=》

$169 - 64 = p {}^{2}$

=》

$p = \sqrt{105}$

perpendicular = 10.24 ( root 105 )

3 0

3 years ago

a window is shaped like a semicircle the base of the window has a diameter of 3 1/2 feet find the area of the window to the near

Fed [463]

B=55/3*1/31=55/93=.591ft

6 0

3 years ago

Read 2 more answers

Answer the question in the picture.

steposvetlana [31]

Answer: 6

Remember: 0.3 repeated = $\frac{1}{3}$

$3 \frac{2}{3} + 2 \frac{1}{3} = 5\frac{3}{3}\\\\5\frac{3}{3} = 6$

5 0

3 years ago

Read 2 more answers