CPhill

-50 = -2(a + 3)   divide both sides by -2

25 = a + 3          subtract 3 from both sides

22 = a

2sin(2x)+ sqrt3 = 0    subtract square root 3 from both sides

2sin2x  = -√3            divide both sides by 2

sin2x = -√3 / 2

sin x  = -√3 / 2   at 240°  and  at  300°

So sin 2x = -√3 / 2   at  120° and at  150°

More general solutions are  120° + (2pi)n  and 150° + (2pi)n    where n is an integer

All except the Parisian offspring.....they're just French Fry(s)........

Notice that when Tina starts, Sally has a 60 mile head start. But since Tina drives 10 miles per hour faster, she makes up 10 miles on Sally every hour. Thus, it takes her 6 hours to catch Sally.

Sally has driven 7 hrs at 60mph = 420 mles.

And Tina has driven one hour less - 6 hrs - at 70mph = 420 miles

And that makes sense !!!

Powers of 7 end with the following digit pattern

7, 9, 3, 1

So 2014 / 4 = 503.5 .......this indicates that 7^2014 ends in a 9

So...the remainder after dividing this by 5 = 4

You can use the onsite calculator to find this.........

57 + 3/4 =  57.75

So

57.75 minutes / 7 miles  = 8.25 minutes for each mile

TayJay...I think they wanted to know this...... (3 + 1/4 ) / 10     ....but I gave you 3 points for good effort, anyway!!

(3 + 1/4) / 10  =

13/4 / 10  =

13/4   /  10/1  =

13/4 * 1/10   =

13/40

I'm assuming we have

1 / (x^-.3)^(1/2)     =   and by a property of exponents, we have

1 / x^(-.15) =     and by another property of exponents, we can write

x^(.15)

Each crate contains 84 x 24 = 2016 cds

So 280000 / 2016 = 138.88 crates...but since you can't have a decimal number of crates....it would be 139 crates