CPhill

(6 + 7/8) - (2 + 1/2) =

(55/8) - (5/2) =

(55/8) - (20/8) =

(35/8) =

4 + 3/8 cups

Well done, rosala....!!!!

However......we HAVE to ask the question before "awarding" you the "Crown".........did you "accidentally" stumble upon the answer here???.......

A three space unit vector is defined as <v₁ / llvll , v₂ / llvll , v₃ / llvll >  where v1, v2, v3 are the individual components  of a given vector, v, and llvll is the length of that vector.

So we have 

v = <sin(t) , t + 1 , cos(t) >      And llvll = √ (sin(t)² + (t + 1)² + (cos(t)² ) = √( t2 + 2t + 2)

So, our unit vector is  < sin(t) /  √( t2 + 2t + 2), (t + 1) / √( t2 + 2t + 2), cos(t) / √( t2 + 2t + 2) >

The same procedure could be used to find the length of the derivative vector. 

I liked that one, too, kitty<3  !!!!

(14 + 1/8) * (62 + 1/2) =

14*62 +(1/8)*62 + 14*(1/2) + (1/8)*(1/2) =

868 + 31/4 + 7 + 1/16 =

875 + 124/16 + 1/16 =

875 + 125/16 =

875 + 7 + 13/16 =

882 + 13/16

0.7(3x+6) = 1.1 - (x-2)   Let's multiply both sides by 10 to clear the decimals

7(3x + 6) = 11 - 10(x-2)    simplify

21x + 42 = 11 - 10x + 20  combine any like terms

21x + 42 = 31 - 10x        add 10x to both sides and subtract 42 from both sides

31x = -11   divide both sides by 31

x = -11/31

2(6X-5) = 3(4x-1)+2      distribute the 2 and 3 outside the parentheses over the terms inside

12x - 10 = 12x - 3 + 2   simplify

12x - 10 = 12x - 1

There is no solution to this, because we can't subtract two different values from the same number and get an equal result

1/2  = .5

Just subtract the y's in some order.

The, subtract the x's in the same order.

Put the first result over the second in a fraction......that's the slope !!!

So we have  .......7 - (-3)  = 10

And, using the same order of subtraction, -4 - (-6) = 2

So.......  10 / 2 = 5   and that's the slope !!!

 1/2 (3y-2) +1/4(6y+5) =

(3/2)y - 1 + (3/2)y + 5/4 =

3y + 1/4