CPhill

Almost correct.....!!!

5(-4 - 8d) - 6d =

-20 - 40d - 6d =

-20 - 46d

We can also solve this  with an equation.

Let x be the number of months that Jennifer has been collcting stamps and  (x -3) the number of months that Allison has been colllecting stamps.

So......

4x = 6(x-3)

4x = 6x - 18    add 18 to both sides   and subtract 4x from both sides

2x = 18            divide both sides by 2

x = 9

And 9 months after January is September........as Anonymous has said.....

We'd need to know something about its dimensions.......!!!!

The side of the rhombus = 68 / 4 = 17

And the diagonals meet at right angles. So....one side and (1/2) of the length of any diagonal form two sides of a right triangle, with the side forming the hypotenuse and the half-diagonal forming a leg.

So the remaining leg is formed by the other (1/2) diagonal and is given by √[17^2 - 15^2]  = √[289 - 225] = √64 = 8.  So the other diagonal = 16.

And....the total area will be given by   (1/2)ab    where a is the length of one diagonal and b is the length of the other......so we have....

(1/2)(30)(16)  = 240 sq. units

³√2744 : ³√216   =   14 : 6

Hey, Nicolas......Melody put that  "h" in your name.....not me......LOL!!!!!

Mmmmmm.......OK

Here's my understanding of it, Melody......

11 / 0     is "undefined" because we can't multiply anything by 0 in the denominator to return the "11"  in the numerator 

But.....consider......

0 / 0

We could multiply the denominator by anything to return the 0 in the numerator....thus....this is "indeterminate"....we can't determine  exactly what this "thing"  is......

It might be "pi"...it might be "10"....it might be "3.45612".......etc.

Everything in "real life" is 10 times as much as shown on the blueprint.....so.....

10 x 8in  =   80 in  =   6ft  8 in

To see why Melody's answer is true......consider  the following where  n is non-zero

0ⁿ /  0^{n   =}

0^{n-n  =}

0⁰

But....what's the problem????  .....Note that......in the fraction above, the denominator 0ⁿ  = 0 .....and we can't divide by 0.......

[It's actually more appropriate to term this situation,  "indeterminate" ]