CPhill

Let's look at this again

9q+24=3(3q-4)    so we have

9q+24= 9q - 12    

Note that this doesn't have a solution...to see why, note that if I add 24 to 9q  ...  it can't possibly be equal to the same thing as subtracting 12 from it.....!!!!

2(m-5) + 6     distribute the 2 over the terms in parentheses

2m - 10 + 6    can you finish it??? (just combine like terms)

She's already spent $10

So...she has $60 left....and she can't spend more than that

So we have

$10 * L ≤ $60    divide by $10 on each side

L ≤ 6      where L is the number of lipstick kits

Here's an easy way to solve this kind of problem....

Divide 84 by 3  = 28

So.....28 + 28 + 28  = 84

Subtract 1 from the the first 28 and add 1 to the last.......so....

27  + 28 + 29= 84      .....just as you found.....!!!!

The diagonal is given by (√2)*5.25 in  = about 7.4 in.

Note that the first term is 1^2

The second term is 2^2

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So....the Nth term  is just  N^2

Use the tangent inverse, i.e.

tan^-1(1/3) = θ = about 18.4 degrees  (or about 198.4) degrees

W/4 - 4 =3    add 4 to both sides

W/4  = 7       multiply both sides by 4

W = 28