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anastassius [24]

3 years ago

12

(Big Reward) I need problems 12-52 (Every Fourth, only around 15 questions) Completed. I would prefer work to be shown but its n

ot necessarily required. Thank you.

1 answer:

ella [17]3 years ago

6 0

Answer:

You have discord? i have many stuff i need to tell u.

Step-by-step explanation:

You might be interested in

N is a positive integer

Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0

3 years ago

Rob's school is selling tickets to annual dance competition. On the first day of ticket sales the school sold 10 senior citizen

Inga [223]

Answer:

senior tickets are 12

student tickets are 3

Step-by-step explanation:

s= senior

t = student

10s+5t =135

14s + 3t=177

10s+5t =135

divide by 5

2s+t = 27

multiply by -3

-3(2s+t) = -3*27

-6s -3t =-81

add this to 14s+3t=177

-6s -3t =-81

14s + 3t=177

---------------------

8s = 96

divide by 8

s = 12

senior tickets are 8 dollars

2s+t = 27

2(12) +t = 27

24 +t =27

subtract 24

24+t-24 = 27 -24

t =3

student tickets are 3

7 0

3 years ago

Right an equation in slope intercept form for the line with slope 1/5 and Y intercept -4 then graph the line

____ [38]

Answer:

The equation is y=1/5x-4.

Step-by-step explanation:

You substitute the slope and the y-intercept, which is 1/5 and -4, and plug them into the y=mx+b equation.

3 0

3 years ago

When the members of a family discussed where their annual reunion should take place, they found that out of all the family mem

creativ13 [48]

Answer:

2178

Step-by-step explanation:

We are given that

Number of members would not go to a park=1010

Number of members would not go to a beach=88

Number of members would not go to the family cottage=1212

Number of members would go to a neither a park nor beach=55

Number of members would go to neither a beach nor the family cottage=44

Number of members would go to neither a park nor the family cottage=77

Number of members would not go to a park or a beach or to the family cottage=33

Number of members would go to all three places=11

s=Number of non park goers only

t=Number of non park goers and non beach goers but not non family cottage goers

u=Number of non beach goers only

v=Number of non park goers and non family cottage goers but not non beach goers

w=Number of non park goers, non beach goers and non family cottage goers

x=Number of non beach goers, non family cottage goers but not non park goers

y=Number of non family cottage goers only

z=Number of not non park goers, not non beach goers and not non family cottage goers

According to question

$s+t+v+w=1010$

$t+u+w+x=88$

$v+w+x+y=1212$

$t+w=55$

$w+x=44$

$v+w=77$

$w=33$

$z=11$

$v=77-w=77-33=44$

$t=55-w=55-33=22$

$x=44-w=44-33=11$

$22+u+33+11=88$

$u=88-66=22$

$44+33+11+y=1212$

$y=1212-88=1124$

$s+22+44+33=1010$

$s=1010-99=911$

Total number of family members=s+t+u+v+w+x+y+z=911+1124+22+11+22+44+11+33=2178

Hence, total number of family members=2178

8 0

4 years ago

PLEASE HELP ME IF YOU CAN!! I MARK BRAINLIEST :D On a model castle, 1 inch equals 83 feet. The model is 10.5 inches wide. What i

Paraphin [41]

Answer:

871.5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers