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rjkz [21]
2 years ago
7

Write three consecutive numbers starting with number n+1, where n is natural number. Find the sum of those numbers and prove tha

t it is divisible by 3.
Mathematics
1 answer:
netineya [11]2 years ago
5 0

Consecutive numbers differ by one, which means that if you start with a certain integer x, you obtain the next integer by adding one.

So, if you start with n+1, the three consecutive numbers are

n+1,\quad (n+1)+1 = n+2,\quad (n+2)+1 = n+3

The sum of these three numbers is

(n+1) + (n+2) + (n+3) = 3n+6

This number is divisible by 3 because you can write it as

3n+6 = 3(n+2)

Note that this is true in general: the sum of three consecutive numbers is always divisible by three, because it is three times the middle number.

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A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to scr
ratelena [41]

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

500*\frac{40}{100} =5*40=200

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

500*\frac{25}{100} =5*25=125

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

500-(200+125)

500-325=175

Therefore, 175 visitors went to screen 3.


7 0
3 years ago
PLEASEEEEEE HELP ME OUT
Alexandra [31]

Answer:

x = 135(being  \: opposite \: angles \: of \: a \: paralleogram)

Step-by-step explanation:

x =135(being opposite angles of a parallelogram)

3 0
2 years ago
Write 2.36 x 10^-3 as a decimal number (ordinary form)​
sergey [27]

Answer:

0.00236

Step-by-step explanation:

Move the decimal left 3 times as the exponent is negitiave 3

5 0
1 year ago
Math answer with work cause it need proof ASAP
Viktor [21]

Answer:

[See Below]

Step-by-step explanation:

__________________________

✦ Solve for (1*10)+(4*1)+(7*0.01)+(2*0.001):

__________________________

✦ Solve Parenthesis first:

  • (1*10)=\bold1\bold0
  • (4*1)=\bold4
  • (7*0.01)=\bold0\bold.\bold0\bold7
  • (2*0.001)=\bold0\bold.\bold0\bold0\bold2

__________________________

✦ Add all the values together:

  • 10+4+0.07+0.002=\bold1\bold4\bold.\bold0\bold7\bold2

__________________________

So Mikayla wrote the decimal correctly.

__________________________

~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

-Your~ Friendly ~Answerer,~ Shane ☺

5 0
3 years ago
What is the expanded form of the expression -1/7 (y-x)
rodikova [14]

Answer:

-1/7 y + 1/7 x

Step-by-step explanation:

Can also be written as

1/7 x - 1/7 y

3 0
3 years ago
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