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Hi Kitty.  There is no rats left on board to eat and cats do not like to swim.

I'm glad you are back.  I have missed you.  I'll find you some juicy salmon.  Fancy sushi?

x - 2x-1 = 4x+3

Simplify the left side:

-x - 1 = 4x + 3

Add x to both sides:

-1 = 5x + 3

Subtract 3 from both sides:

-4 = 5x

Divide by 5:

x = -4/5

Late to the party, but the cat's back~ :)

I'll do everything in inches

(10 cm = 3.937 in)

So A is

10 * 6 * 3.937 = 236.22 cu. in.

B is

15 * 14.44 = 216.6 cu. in.

C is

(volume of water = ht. of water * area of the base).......  therefore.......

(volume of water/ area of the base = ht. of water)

216.6 cu. in / 60 sq. in =

3.61 inches

(1)       2,8,25,50,75,100  Magic number is 431   (This one is very hard)

If we don't have to use every number, here's a solution:

8 (50 + 75/100) + 25 =

400 + 6 + 25 =

431

Eh....not necessarily better....just different........we would have both arrived at the same train station......so to speak......

Thanks, TM....!!!.......I always like to provide  a little humor when I can......

BTW.....I gave everyone 3 pts on this one.......

CPhill... You made my day XD

Sin is getting too much of a Tan, Cos you forgot to use sunscreen......

Sin has many definitions. However, this website is a mathematics based site so, I will talk about the mathematical definition.

Sin is a mathematical function of Sine. Usually used like this:

sin(θ) = $$\frac{Opposite}{Hypotenuse}$$

Yes CPill's choice is better.  The algebra is easier.  

Any odd integer can be expressesd as 2n-1 where n = 1, 2, 3......

So, let the first odd integer be 2n-1, the next one 2n+2, and the last one 2n+3.

So

(2n-1) + (2n+1) + (2n+3) = 63     and simplifying, we have

6n + 3 = 63  

6n = 60

n=10

So

The first integer is 2(10) - 1 = 19

The next one is 2(10) + 1 = 21

And the last one is 2(10) + 3 = 23

And that's it!!

Would you like a very brief summary as in just in important bits? Or would you like me to talk about electrostatics and magnetism in general?

First, we need to find the total number students at the library.

30 people did not like reading mystery stories, and that is 15% of the people.

15% of the total people = 30         --Let's have x equal the total number of students.

15% of x = 30

.15*x = 30         ---Divide both sides by .15

x = 200

200 people is the total amount of students. 85% of them like mystery stories.

85% of the total amount of people = people that like mystery stories      --Let's have y = people that like mystery stories

85% of the total amount of people = y

85% of 200 = y

.85*200 = y

170 = y

170 people like mystery stories.

Part A:

It doesn't say whether we want the maximum volume in cubic inches or cubic centimeters, but we have to convert the dimensions (height, width, length) into the same base to get an answer. Let's convert all the dimensions to centrimeters, because it seems the easiest. You can then turn it back into inches if you need to.

The dimensions are 10 inches by 6 inches by 10 centimeters.

2.54 cm in an inch, so 10*2.54 and 6*2.54 tells us these measurements in cm.

10*2.54 = 25.4

6*2.54 = 15.24

Our new dimensions are 25.4 cm by 15.24 cm by 10 cm

To get the volume, multiply length times height times width.

$$25.4\;cm\times15.24 \;cm\times 10 \;cm = 3870.96\; cubic \;cm$$

So our answer is 3870.96 cubic cm.

Part B:

We are also told 1 cup = 14.44 cubic inches.

Mike poured 15 cups into the container.

15*14.44

216.6 cubic inches

Part C:

Disclaimer: I'm not quite sure if this is how you do this part...but I'm pretty sure this is right.

We know that 216.6 cubic inches is how much water there is in the container. Let's turn this to cubic cm.

216.6*2.54 = 550.164 cubic cm.

Our dimensions in cm are 25.4 cm by 15.24 cm by 10 cm.

Now just divide this by length and width and we'll get how high the water went up to in this container.

550.164 ÷ 25.4 ÷ 15.24 = 1.421259842519685

Or, rounded to the nearest hundredth, 1.42 cm.

i mean you dont answer any math questions. you just copy the other people

Well if I copied and then posted it I would still be answering wouldn't I?  

Since I don't answer I can not do this!

I could copy but I could not paste it into the forum as an answer - I would have to past it somewhere else I guess.

This is very confusing.  

please help!!!

i believe so

sin is a transgression.

sin^-1 is a good deed.

M^-1

so that means you just copy?

No never.  

no. it is not.