InterestingUsername

Hi!

Well, if the pattern goes in that order, and there are 74 beads, then we can first see how many times we can repeat that pattern in the necklace.

74/6=12.3333333333333(repeating)

So we can do that pattern 12 times.

12x6=72

After we do that pattern 12 times, we have 2 beads left over, so the first two beads of the pattern will be placed. The second bead should be orange. (First bead red, second bead orange).

Hope this helps!

Well, ok... the only answer I can think of and prove that fits all the criteria is 1. Sorry I can't be of more help.

...wait this is a homework problem...

...homework problems aren't supposed to be put here or answered here.

... I thought this was like a for fun problem on a website or something...

...

I mean, 1! is still 1, and every number can be divided by 1. Also, 1 is positive, and the LEAST positive integer there is. It fits the criteria, but I can agree with you that it seems like a "too easy" answer to the problem. Maybe you could try it?

Wouldn't it be 1? If you're looking for the least positive integer that when factorialed divides 80325, then I think 1 fits the bill.

Hi!

This is a double equation thing(I don't know the name)

Let x = number of tarantulas

Let y = number of frogs

If frogs have 4 legs and 2 eyes, and tarantulas have 8 legs and 8 eyes, then we can set up two equations, one for the legs and one for the eyes.

For the eyes:

8x + 2y = 80

For the legs:

8x + 4y = 104.

Now, we combine the equations.

8x + 2y = 80

-

8x + 4y = 104

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

-2y = -24

/-2        /-2

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

y = 12

y represents the number of frogs, so there are 12 frogs.

I think you can take the rest from here. :)

Hope this helps!

A face card is a Jack, Queen, or King card, since it has a "face" of a person on it in most decks, hence the name face card.
 

Edit: ElectricPavlov answered while I was typing, is there a way to delete my own posts?

Hi!
This problem uses a two equation system(I don't know the proper name).

First, we "turn words into math" as some people call it.
 

Let x = Type A Coffee
Let y = Type B Coffee

If he made 177 pounds, then the following must be true:

x + y = 177

Also, if Type A Coffee costs $4.30 a pound, and Type B Coffee costs $5.70 a pound, then the following also must be true:

4.30x + 5.70y = 877.30

Now, we make some like terms and combine the equations:

If we multiply the first equation by 4.3:

4.30x + 4.30y = 761.10

And now we subtract the second equation from the first:

4.30x + 4.30y = 761.10

4.30x + 5.70y = 877.30

-1.40y = -116.2

Divide by -1.40:

y = 83.

y equals the number of pounds of type b coffee, so we subtract 83 from 177.

I think you can do the rest yourself. :)

Hope this helps!