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Another (fun) approach to see what happens with both equations and where they intersect:

Copy this line

y=3.5x-2.8, y=-4.67x+12.5

to clipboard and then paste the line in Google search field and hit [Enter]

for a graphical approach.

Both lines intersect at x=1.87270498 where y=3.75446743 (zoom way in on the intersection)

Solve for x:
3.5 x - 2.8 = 12.5 - 4.67 x

Add 4.67 x to both sides:
4.67 x + 3.5 x - 2.8 = (4.67 x - 4.67 x) + 12.5

4.67 x - 4.67 x = 0:
4.67 x + 3.5 x - 2.8 = 12.5

3.5 x + 4.67 x = 8.17 x:
8.17 x - 2.8 = 12.5

Add 2.8 to both sides:
8.17 x + (-2.8 + 2.8) = 12.5 + 2.8

2.8 - 2.8 = 0:
8.17 x = 12.5 + 2.8

12.5 + 2.8 = 15.3:
8.17 x = 15.3

Divide both sides of 8.17 x = 15.3 by 8.17:
(8.17 x)/8.17 = 15.3/8.17

8.17/8.17 = 1:
x = 15.3/8.17

15.3/8.17 = 1.87271:
Answer: |x = 1.87271

yes

All you need to do is put Tan^-1(9/5) into your calculator. Which equals 60.94539590092 or just 60.95 

can someone help with this 

( y=3.5x-2.8

( y=-4.67x+12.5

what is the value of x in the solution of the following system?

!sole in the System of Equations method!

You flip the 1/2 over to get 2/1 (which is 2).  Then 2*3/8 is 6/8, which is 3/4.

Yes, it is 1.87.  If the number in the thousanths place is less than 5, the number in the hundreths place doesn't change.  If the number is over 4, the number in the hundreths place would go up one.

3/8 * 2/1 = 6/8 = 3/4

1.87 to nearest 100th

MORE

\(55\div 16 = 3\; remainder \;7\\ so\\ 55_{10}=37_{16}\)

just as CPhill said :)

why does 55 in hex show as FF when FxF would mean 16x16 which is 256?

Lets see

\(55_{10}=5*10+5\\ F_{16}=15_{10}\\ 10_{16}=(1*16)_{10}=16_{10}\qquad \text {Because the} \textbf{ place value } \text{of the 1 is 16}\\ F0_{16}=(15*16)_{10}=240\\ FF_{16}=(15*16+15)_{10}=255\\ \)

\(55_{16}=(5*16+5)_{10}=85_{10}\)

counting

I think you may mean "255" rather than "55"  .....Remember that FF₁₆ means     15(16)^1  +  15(16)^0  =  15*16 + 15*1  =

240 + 15  = 255

"55"   in hex would be represented as   37₁₆   =   3(16)^1   +  7 (16)^0   =   48 + 7  = 55

Excellent, Guest  !!!

do -3 from positive 3, cross it out. then, divide away 2 from 2x by doing a divide symbol, then crossing out. you have to do each step on the answer too. take away 3 from3  take away 3 from 135. when all you have left is x = whatever that is your answer

subtract 3 from 135, and then divide by 2

729 to the power of 1/9. Which is equal to 81

Really? 4

Let θ = angle beam makes with ground
Let L = length of beam = a + b

Using diagram as a guide, we get:
sin(θ) = 10/a -----> a = 10/sinθ = 10 cscθ
cos(θ) = 33/b ----> b = 33/cosθ = 33 secθ

L = a + b
L = 10 cscθ + 33 secθ

Now L will be minimized when dL/dθ = 0
dL/dθ = -10 cotθ cscθ + 33 tanθ secθ = 0
33 tanθ secθ = 10 cotθ cscθ
33 sinθ/cosθ * 1/cosθ = 10 cosθ/sinθ * 1/sinθ
33 sin³θ = 10 cos³θ
sin³θ/cos³θ = 10/33
tan³θ = 10/33
tanθ = ∛(10/33)
θ = arctan(∛(10/33)) = 33.89°

L = 10 csc(33.89°) + 33 sec(33.89°)
L = 57.69 feet

Will anyone help?

8 

Le the rate of the current  = R

Rate with the current  = 8 + R

Rate against the current  = 8 - R

So....Distance / Rate  = Time   and we have that

The time it takes to go downstream + 4 hours   = time to go upstream   ...and we have....

60/ [8 + R]  + 4   =   60 / [8 - R ]     

4   =  60 / [8 - R]   -  60/ [8 + R ]     simplify the right side

4  =   (60[8 + R]   - 60[8 -R] )  / [  ( 8 + R) (8 -R) ]      cross-multiply

4 [  ( 8 + R) (8 -R) ]  =  480 + 60R - 480 + 60R

4 [ 64 - R^2]   =  120R      divide through by 4

64 - R^2  = 30R        rearrange

R^2 + 30R - 64   =  0

Factor

(R - 2) (r + 32)  = 0

Setting each factor to 0   we have that R =-32 mph   [reject ] or R = 2 mph

So....the current = 2 mph

$10.50 / 3 pizzas    x  10 pizzas  = 35 dollars

Why don't you just use the calculator to determine this ????

60.95 degrees

Very good effort!!. Here is the correct way of solving it.

1) It is a Geometric Series, 10, 20, 40, 80............If you were to sum it up, you would get=40,950.

2) But it is bank loan which comes down by $10 the 1st month minus the interest saved on it, and then $20 the 2nd month minus the interest saved on that.......and so on.

3) The easiest way to understand it is find the present value of all the 12 payments @ 6% comp. monthly. In other words: $10/1.005 + $20/1.005^2 + $40/1.005^3........and so on.

4) Here it is summed up on Wolfram/Alpha engine:

∑[ (2^n*10)/1.005^(n+1)], n=0 to 11 = $38,764.26, which is the correct answer.