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46 is a whole number.....so .....it can't lie between two consecutive whole numbers.....!!!!

Yesterday, Charmaine had 57 baseball cards. Today, she gave c away. Using c , write an expression for the number of cards Charmaine has left.

Ok, this is how you have to think about questions like this.

Say Charmaine had 57 cards and she gave away 6 then she would have   57- 6 cards wouldn't she

Say Charmaine had 57 cards and she gave away 8 then she would have   57- 8 cards wouldn't she

Say Charmaine had 57 cards and she gave away 26 then she would have   57- 26 cards wouldn't she

Say Charmaine had 57 cards and she gave away 19 then she would have   57- 19 cards wouldn't she

Say Charmaine had 57 cards and she gave away c then she would have   57- ? cards 

Just follow the pattern and you can answer the question yourself  

You can tell us what you get if you like and I will tell you if it is correct  :)

th answer is obviosly 10

HAHAHAHAHA!!!!!!!!.......beat you, Melody   !!!!!!    LOL!!!!!!!

Let the first angle = x, the second angle = 3x and the third angle = 3x + 70.....so we have

x + 3x + 3x + 70 = 180      simplify on the left

7x + 70 = 180     subtract 70 from both sides

7x = 110  divide by 7 on both sides

x = 110/7 = about 15.7°  for the first angle

3x = about 47.1°  for the second

3x + 70  = about 117.1°  for the third

6.0 x 10¹

Just figured it out myself - 1 sq ft requires 1 1/2 tsp fertilizer

If one piece is twice as long as the other, we actually have three equal pieces....so, each piece = 87 / 3  = 29 in

So....2 pieces = 2(29)  = 58 inches

Rachel bought 1,500 shares of Cawh Consolidated Bank at a price of $24.85 each. As the price climbed, she sold off parts of her holdings. She sold off 250 shares at $28.32 apiece, she sold 800 of her shares at $33.60 apiece, and she sold off the remainder of her shares at $39.94 apiece. If Rachel’s broker charges a commission of $65 per $1,000 of stock bought or sold, how much profit did Rachel make, to the nearest dollar

We have

250(28.32) + 800(33.60) + 450(39.94) - 1500(24.85)  - 65(3)  = $14, 463 profit

[Note that the last "3"  in the equation is because she bought 1500 and sold 1500 shares.= 3000 shares......so.....her broker charges her $65 x 3 for the transactions]

ex - 6e-x = 1

\(e^x-6e^{-x}=1\\\\ e^x-\frac{6}{e^{x}}=1\\\\ e^x(e^x-\frac{6}{e^{x}})=1*e^x\\\\ (e^x)^2-6=e^x\\\\ (e^x)^2-e^x-6=0\\\\ sub\;y=e^x\\\\ y^2-y-6=0\\\\ (y-3)(y+2)=0 y=3\;\;or\;\;y=-2\\\\ e^x=3\;\;or\;\;e^x=-2\\\\ lne^x=ln3\;\;or\;\;no\; solution\\\\ x=ln3 \)

Let the first odd integer  = 2n + 1, the second, 2n + 3 and the third = 2n + 5......and we have

2n + 1  +   2n + 3 + 2n + 5 = 201   simplify

6n + 9   = 201   subtract 9 from both sides

6n = 192     divide both sides by 6

n = 32

So...the first integer = 2(32) + 1  = 65.....the second is 67 and the third  = 69

Here's a faster way to do this:

Divide  201 by 3   = 67     add 2 to this = 69   and   subtract 2 from this = 65........and there's your three integers  !!!

The US dollar is worth more ONLY against Canadian and Australian dollars. It is worth less than the British pound and the Euro.

e^x - 6e^-x = 1      multiply through by e^x

e^2x - 6 = e^x      subtract  ex  from both sides and rearrange the left side

e^2x - e^x - 6 =  0     factor this

(e^x - 3) (e^x + 2) =     setting each factor to 0, we have

e^x - 3 = 0                                   and                             e^x + 2 = 0

The second equation has no solution.....for the first, we have

e^x - 3 = 0

Add 3 to both sides

e^x  = 3       take the ln of both sides

ln e^x  = ln 3      and we can write

x ln e =   ln 3     and ln e = 1, so we can ignore this.......and we have

x = ln 3 = about 1.0986

Melodie: You made a mistake by making it=6 instead of -6

Also, when I substitute both of my answers, the equation balances, while your ln(6) does not.

Thanks.

how do I do equations

Hi Wolverine :)

Maybe you would like to be more specific.  There are many different equations.

Basically, do must know order of operation,   BODMAS   (or whatever acronym you use)

Then with the equation you get rid of all the things you do not want in the OPPOSITE order to BODMAS (because you are 'undoing' an expression.

ex

3x+7=13

get rid of +7 (I call this a tack on) by subtracting it. BUT if you subtract it from one isde you must subtract it form the other side too

3x+7-7 = 13-7

3x        =  6

Now there is an invisable times sign between the 3 and the x, I'll put that in

3*x=6

I need to get rid of the 3 and the opposite of multiply is divide so I divide by 3 - but I'll have to do it to the other side as well.

(3x)/3=6/3

x       = 2

Let the width = W......then the Length  = L = 2W + 6

And the perimeter = 2(W + L).....so we have

84 = 2 (W + L)

84 = 2 (W + 2W + 6)    simplify

84 = 2(3w + 6)

84  = 6w + 12    subtract 12 from both sides

72 = 6W    divide both sides by 6

W = 12m

And   L = 2W + 6  = 2(12) + 6  = 30m

If that bottom angle is 90 degrees then you have two angles and you can just use angle sum of a triangle.

180-90-45=45 degrees

Otherwise you do not have enough information.  You need to know 3 things about you triangle to find a fourth.

IDK WHAT IMS SUPPOST TA DOO

Are you "Justin 16"?

e4x - 5 * e2x = -6 

My answer will be similar I think.

\(e^{4x}-5e^{2x}=6\\\\ (e^{2x})^2-5e^{2x}-6=0\\\\ Sub\;\;y=e^{2x}\\\\ y^2-5y-6=0\\\\ (y-6)(y+1)=0\\\\ y=6\;\;or\;\;y=-1\\\\ e^x=6\;\;or\;\;e^x=-1\\\\ e^x=6\;\;or\;\;no\; solutions\\\\ lne^x=ln6\\\ x=ln6 \)

Answering guest, I think you made a little mistake when you completed the square :)

Solve for x over the real numbers:
e^(4 x)-5 e^(2 x) = -6

Simplify and substitute y = e^(2 x):
e^(4 x)-5 e^(2 x)  =  (e^(2 x))^2-5 e^(2 x)  =  y^2-5 y  =  -6:
y^2-5 y = -6

Add 25/4 to both sides:
y^2-5 y+25/4 = 1/4

Write the left hand side as a square:
(y-5/2)^2 = 1/4

Take the square root of both sides:
y-5/2 = 1/2 or y-5/2 = -1/2

Add 5/2 to both sides:
y = 3 or y-5/2 = -1/2

Substitute back for y = e^(2 x):
e^(2 x) = 3 or y-5/2 = -1/2

Take the natural logarithm of both sides:
2 x = log(3) or y-5/2 = -1/2

Divide both sides by 2:
x = (log(3))/2 or y-5/2 = -1/2

Add 5/2 to both sides:
x = (log(3))/2 or y = 2

Substitute back for y = e^(2 x):
x = (log(3))/2 or e^(2 x) = 2

Take the natural logarithm of both sides:
x = (log(3))/2 or 2 x = log(2)

Divide both sides by 2:
Answer: | 
| x = (log(3))/2 or x = (log(2))/2

Remember these relationships: Sine(x)=Opposite side/Hypotenuse: Cosine(x)=Adjacent side/Hypotenuse: Tangent(x)=Opposite side/Adjacent side. "Opposite" means opposite the angle that you have. "Adjacent" means one of the sides that forms the angle.

So, in your picture of angle "A", Opposite would be the "x" side, and the base where you have 8 is the Adjacent side. You have to memorize these important relationships.

The answer is=60 + 0 +1=61. Multiplication comes first. Then ANY number multiplied by 0=0. Then you just add the numbers.

to expand -5^2=25

25=25