Well...you have to be even....and you have to be divisible by 3 and 6

The only possibilties are 248, 252.

And it isn't 248 because that number isn't divisible by 9. (The sum of the digits of a number have to be divisible by 9 for that number to be divisible by 9.)

So you're 252.

Proof by factoring:

252

126 x 2

63 X 2 x 2

9 x 7 x 2 x 2

3 x 3 x 7 x 2 x 2

Note that 2.3,4,6 and 9 all divide this.

Now.......we're going to sew your number inside your coat so you won't forget it, again!!

You're welcome....I'm guessing that book must be the "Large Print Edition".....

WOW.....that's a REALLY BIG PICTURE!!!

Two sides of the triangle are equal,  so the angles opposite these sides are equal, too. And since the angle opposite one of the equal sides is 35, the angle opposite the other equal side = 35. And by the Exterior Angle Theorem, the central angle represented by "B°' is equal to the sum of the two remote interior angles of the triangle = (35 + 35).

Thus, B° = 70.

I answered this same question 9 hours earlier !!   ???????

I don't know if you possibly mean something like this, or not:

(5/3)n = (6/7)     But if you do.......multiply both sides by (3/5)   this gives us

n = (6/7)(3/5)    And multiplying the fractions, we have

n = 18/35

If you have a specific problem in mind, send it to us, and we'll see i we can help you!!

I think the "1" is supposed to be a factorial. I believe we're evaluating C(10,5)

10!/(5!(10-5)!) = 10!/ (5!*5!) = 252

And that's it!!

Factoring out a 3n, we have

3n(n^2 + 3n -28) So, we're looking for two terms that multiply to -28 and sum to +3.

+7 and -4 come to mind....So we have

3n(n + 7)(n - 4)

And that's all!!

So we have

80000 = A(1.03)³⁰     .......where A is the current salary

Divide both sides by (1.03)³⁰      So we have

80000/(1.03)³⁰ = 32958.94 ≈ $32.959

So....getting "at least" two kings means getting two kings, three kings or all four

The number of ways to get two kings is to choose any two of them and, from the other 48 cards, choose any two of them - since we're drawing four altogether. So we have

nCr(4, 2)*nCr(48, 2) = 6768 ways to do this

The number of ways to get three kings is to choose any three of them and, from the other 48 cards, choose any one of them.  So we have

nCr(4,3)*nCr(48, 1) = 192 ways

And the number of ways to choose all four kings is to take all of them = 1 way.

So, adding all these up we have 6768 + 192 + 1 = 6961

1 Inch = 2.54 Centimeters