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4 years ago

If n is even, which represents the first consecutive even integer after n?

Mathematics

2 answers:

kow [346]4 years ago

3 0

Answer: $n+2$

Step-by-step explanation:

1. By definition, an even number is that number that can be divided by two.

2. Therefore, keeping this definition on mind, if you have an even number $n$ , the next consecutive even integer after it can be obtained by adding 2.

3. Then, you can conclude the expression that represents the first consecutive even integer after $n$ is:

$n+2$

Pavel [41]4 years ago

3 0

Answer: n + 2

Step-by-step explanation: The first positive even integer on the number line is 2.

Subsequent numbers in the series are 4,6,8...

Now Even numbers are numbers that are divisible by 2 without remainders.

To find consecutive even integers, where n is even, the expression n+2 is employed.

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The figures below are based on semicircles and squares. Find the perimeter and the area of each shape. Give your answer as a com

irina1246 [14]

Answer:

Part 1) The area of the figure is $A=48\ cm^2$

Part 2) The perimeter of the figure is $P=4(2+3\pi)\ cm$

Step-by-step explanation:

Part 1) Find the area of the figure

we know that

The area of the figure is equal to the area of three squares

$A=3[4^2]=48\ cm^2$

Part 2) Find the perimeter of the figure

we know that

The perimeter of the figure is equal to two times the length side of the square, plus the circumference of six semicircles ( or the circumference of three circles)

Remember that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter of the circle

In this problem

$D=4\ cm$

$P=2(4)+3[\pi(4)]=(8+12\pi)\ cm$

simplify

$P=4(2+3\pi)\ cm$

8 0

3 years ago

In an election, a candidate got 82% votes. He won the beating his rival candidate by 576 votes. How many votes were polled?

Slav-nsk [51]

Answer:

900

Step-by-step explanation:

A candidate got 82%votes.

Loosing candidate get=(100-82)=18%

Difference between two votes.

=(82-18)%=64%

Let be the Total vote is=x.

64% of the total vote=576

$Or, 64 \%\times x= 576$

$Or, \frac{64}{100} \times x = 576$

$Or,x= \frac{576 \times 100}{64}$

$Or,x=900$

∴The total votes that were polled are 900.

8 0

3 years ago

PLEASE HEL MUST BE DONE URGENTLY

LekaFEV [45]

Y = x + 2 is closest to what I believe is the solution.

If the club begins with 2 members, then +2 MUST appear in the formula.

If the club adds 2 members every week, then the total number of members would be

f(x) = y = 2 + 2(x-1), where x is the number of weeks.

Test this: If x = 1, then y = 2+2(1-1) = 2 + 0 = 2. This is correct. The club began with 2 members in week 1

8 0

3 years ago

Read 2 more answers

99 X 99 X 99 / 9 - 99 /99 PLEASE EXPLAIN ;)

charle [14.2K]

Answer:

107810

Step-by-step explanation:

You can use the order of operations! So we start with 99^3/9. That is 99^2*11. So now let’s do 99/99, it’s 1. So 99^2*11 is 107811, so the answer is 107810.

8 0

4 years ago

Read 2 more answers

For the arthritic sequence 5,9,13,17,21,... how many terms would you need to get to 129

Vlad1618 [11]

9514 1404 393

Answer:

Step-by-step explanation:

The first term is 5 and the common difference is 9-5=4, so the n-th term is ...

an = a1 +d(n -1)

an = 5 +4(n -1) = 4n +1

Then the term number for the term 129 is ...

129 = 4n +1 . . . . . put the given value in the formula

128 = 4n . . . . . . . subtract 1

32 = n . . . . . . . . . .divide by 4

The 32nd term is 129.

8 0

3 years ago