All Answers 358149 Answers

8!=8*7*6*5*4*3*2*1=40,320.

Think of there being 8 different places that you can put a single piece of fruit.  when you first start pick a spot, there are 8 different options you have for putting a piece there.  Once you place it you move to the second spot, you now have seven pieces of fruit left to pick from because one was already used.  Go to the third spot, now you only have 6 pieces to pick from.  This continues until you run out of fruit and places to put it.

Assuming that they are all different types.....8!  = 40320 ways....!!!!

Of course we get paid!  Our currency is math problems and we get them upfront.  Thanks for the three that you just donated!

3) an increase from 2900 to 4500 is an increase of 1600.  1600/2900=.55 (rounded to nearest hundredth) so this is about a 55% increase

1)   If the area is 148 sq in., and the width is 20 in., we need to divide 148 by 20 to find the length...so we have

148/20 = 7.4 in

2) If 1cm = 70K   then 3cm would be 3*70 = 210K

3) To find the % increase use

(New - Old) / Old   = (4500-2900) / 2900 = about 55%

No....we don't get paid.....but donations ARE accepted......let me give you my address so you can send your check there.....!!!!  (just kidding.....)

how to add mixed numbers using decimals

2)   We already know that 1 cm = 70 km in this scale.  Three times as many centimeters would mean three times as many kilometers so 3cm=210 KM

1) LW=148

L20=148

L=148/20=37/5=7.4

2+2=

Yes I mean triangle there just wasnt a thing for it :P

My response will be based on the assumption that you mean triangle QWE rather than DeltaQWE and also that we are working in a plane.

Since the interior angles sum to 180, that means angle W=45 and we have an isosceles right triangle.  With that, knowing one leg, EW=7, guarantees the other leg is congruent so WE=7 as well. 

In a 45-45-90 triangle the hypotenuse is always longer than the legs by a factor of sqrt(2), ergo QW=7sqrt(2)

50% = .50

"Of" means "multiply"

"What Number" .......we can let this be "N"

"Is" means "Equal To"

So we have

.50 * N = 12.1

Divide both sides by .50

N = 24.2

And that's it......

since 50% is equivalent to a half it is like asking 12.1 is half of what number.  That would be 24.2 since half of 24.2 is 12.1

OK..........multiply both sides by the reciprocal of 8/5 → 5/8

So we have

(5/8)F = n - 96

Add 96 to both sides

(5/8)F + 96 = n

And there you go.......!!!

Okay, I get you. Thanks Bertie.

This tell me my missing category that is certainly true but the permutations are still causing problems.

I think that I have it all sorted now.

4 letters are chosen from the alphabet.  And these are supposed to be the number of possibilities  but something is wrong!

Letters all different = 26*25*24*23=358800

letters 2 the same and other 2 different= 26*1*25*24*4C2= 93600

letters 2 pairs =  26*1*25*1*4C2 divided by a half (got it) = 1950    

I had to halve it because for each pair left there are 2 that are the same.

letters 3 the same=26*1*1*25*4C3=2600

Letters all the same=26

Now I know it should add up to 26⁴=456976 and they do so that is great!

$$\\z=3k+i+\frac{1}{10}*(12+k)+(3k-4)i\\\\
z=3k+i+\frac{12+k}{10}+(3k-4)i\\\\
z=\frac{30k}{10}+\frac{12+k}{10}+(3k-4)i+i\\\\
z=\frac{12+31k}{10}+(3k-3)i\\\\$$

More than likely you're being asked to combine like terms and write a simplified answer. So put all the k terms together and the I terms to gether and let's see what we get

z=3k+i+1/10(12+k)+(3k-4)i

=3k+i+12/10+k/10+3ki-4i

=3k+3ki+12/10+k/10-3i

31k/10+3ki-3i+6/5

If a township is divided into 36 squares, each 1 mile on a side, then the township is just 36 square miles (36*640 acres).  

If the question was meant to say a township consisted of a square 36 miles on a side, then NinjaDevo's answer is correct. 

Ahhhh I get it now! Thank you that helps sooooo much :D

That's a good question, Rose98......maybe I'm taking too much for granted...let's start over

Since 175 ends in a 5, I know it's divisible by 5....so 175 = 35*5

But 35 ends in a 5, so it's also divisible by 5, so we have

7*5*5   =  7*25 = 25*7

Does that help???

How did you know it was 25 * 7 tho?

Let's look at √(175) again....I believe the decimal answer is OK, but let's look at the exact answer again.

√(175) = √(25*7) = √(25)* √(7) = 5√(7)

And that's it........

(Sorry....I didn't see that Alan had already answered this...)

175 = 25*7 so √175 = √(25*7) = √25 * √7 = 5*√7 ≈ 13.23

Thank you so very much!  The other one I am doing I keep getting wrong.  I have the √175 = √35*5 - √35 * √5 = 35√5 - 13.23    is that corect?

I don't see any diagram....but the inequality would be......

(3x)*(x) ≤ 50

3x² ≤ 50