A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?

55,396

based on 4504 people

and 444 members running for president.

If your question was only 4 members running for president then you would just need to not thank me and allow me to edit.

We would simply show maximum if 4 by dividing 4504/4 = 1126 equal distribution and follow the pattern below using 1126 votes only as a total after multiplying it like this 1126 x 1128 x 4- 4 = 5,080,508

This is because the distribution of how many people voted the same person even if they only had 4 people to vote for makes the total votes higher than that of a larger selection of people to vote for which means the maximum vote has increased for a smaller selection. So if there are only 4 members running for president the actual votes become 5,080,508 possible votes.

If we have 444 members running for presidency, then the vote totals distributed become 55,396 in total.

Step-by-step explanation:

4504 people and 444 members are running for president

Each club member votes for one of the 444 candidates

4505 / 444 = 10.1463963964

The exact votes could be 10 each as distribution = 444 equal votes

Then we can keep applying one and loosing one = 443, 442,441, 440 etc.

This alone would equal 10 of 444 x 12 - 444 = 10 x 12 x 444 -444 = 52836

We then see a balance of distribution remainder as 10.1463963964 shows a remainder of  0.1463963964 so we divide into 1

1/ 0.1463963964 = 6.8307692306

Which means every 6 vote decrease there is another vote candidate.

444/6 = 74 extra vote that would have 1  = 74

73 extra vote that would have 1 + 1 that has 2 = 74

72 extra vote that would have 1+2 that has 3 = 73

and down to one we can calculate 74 x 74 - 74 - 73 - 72 - 71- 72- 71 - 70- 69-68

= 4836

then continue subtraction

4836 - 67-66-65-64-63-62-61-60 = 4328

4320 - 59-58-57056-55-54-53-52-51-50 = 3775

3775 - 49-48-47-46-45-44-43-42-41 -40 = 3330

3330 - 39-38-37-36-35-34-33-32-31-30 = 2985

2985 - 29-28-27-26-25-24-23-22-21-20 = 2750

2750 - 19-18-17-16-15-14-13-12-11-10 = 2605

2605 - 9-8-7-6-5-4-3-2-1 = 2560

We cna now add this total with the previous =  2560 + 52836 = 55,396

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

what do u need to know

step-by-step explanation: