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Melanie:
Brett asked George and Danielle to help him hang up 30 posters for a school dance. He gave 1/5 of the posters to George . He gave 1/3 of the remaining posters to Danielle. Brett hung the remaining posters. How many posters did Brett hang???

George gets 30/5 =6 posters
Remaining posters = 30 - 6 = ...
Danielle gets Remaining posters/3 = ...
Therefore Brett hangs 30 - 6 - Danielle's posters = ...

I'll leave you to fill in the blanks.

AlanMar 17, 2014

+130561

First, convert both mixed numbers to improper fractions.

Keep the first fraction as it is, change the division to multiplication and "flip" the second fraction.........("keep"......"change"......."flip")

Now, just multiply the fractions together....(reduce if possible)

CPhillMar 17, 2014

+130561

1. This is a "thinking" problem. For every fifth part of the tank that is filled, 1/12th of it is being drained away. In effect, the draining is retarding the filling.

So we have: (The portion of the tank being filled per hour) * (time it takes to fill) = (whole tank filled)

In math terms this equates to: (1/5 - 1/12) * X = 1

So we have: (7/60) * X = 1

I'll let you finish this one......just solve for X......your answer will be in hrs.

2. This is a trig problem. We have a triangle whose opposite side is 12 and whose hypotenuse is 24. To find the incline angle, take the sine inverse of 12/24.

3.If the wife gets 1/2 and the daughter gets 1/8, the son gets what's left = 3/8. Then, 3/8 of the estate is 30000.

Let X be the total amount of the estate.

In math terms, we have............. 3/8 * X = 30000

Again, I'll let you finish this one for yourself.

4. Since it rained 7 days out of 30, the probability it rained on any one day is just......... 7/30.

5. The letters don't matter. The first digit is a non-zero number and the other two digits can be any digit from 0-9 inclusive.

So, the possible numbers are from 100 - 999 inclusive. We have 900 of these......... (999-100+1)

So, the total numbers that are 400 or greater = (999-400+1) = 600

Therefore, the probability that a number is greater than 400 is just 600/900 = 2/3.

Hope that helps......good luck!!

CPhillMar 17, 2014

Carla's books cost (Total price/# of books) Therefore each book costs 10/4 = 2.5$ or 2 dollars 50 cents if Amy's books cost the same and she bought nine. Just multiple the cost per book of 2.5 times the number of books 9. The total is $22.50

GuestMar 17, 2014

: lol :

GuestMar 17, 2014

Thanks you very much for the work you put into this.
I don't know if it works yet as I'll have to translate it to Java; but will let you know if I get anywhere with it.

Thanks again.

DdK

GuestMar 17, 2014

A fraction is the same thing as division. Three fourths = 3/4 = 3 ÷ 4 = 3 * 4 ^-1

GuestMar 17, 2014

+142

benjamin rodz:
if the area of a square is 25m2 what is the length of one side

So, a square have the same side lenght.

With this information, you can conclude to this: If 1 X 1 = 1m ², 2 X 2 = 4m ², so if you have the answer you can use the square root of your number...

sqrt(25)

samgelinasMar 17, 2014

+33666

boo09:
Rewrite as a simplified fraction.

1.5¯=?

If the 5 recurs forever then:
Recurring.PNG

AlanMar 17, 2014

+142

Put them on the same denominator. (I don't know if it's this in English but in french we say "denominateur"...)

samgelinasMar 17, 2014

+33666

I think the reasoning may be as follows:

CriticalPoints.PNG

I've just noticed that the exponents of e in the image look like c's. They are meant to be x's!!

AlanMar 17, 2014

+130561

If I read your question correctly, you'd like to convert a repeating mixed number like 1.5555..... to a fraction.

Here's the way to do this.

Suppose we have 1.5555.

Forget the whole number part - we can add that back later.

Write the rest without the decimal....i.e., 5555.

Put this over a denominator that has the same number of 9's as the number of digits in the decimal part....i.e., 9999.

So we have 5555 / 9999.

Check this with your calculator...I think you'll get .5555.

Add the 1 back to the front of the fraction. to get the mixed number = 1 + (5555/9999).

That's it.

CPhillMar 17, 2014

i found the answer, i hate asking people for stuff. but for others who are also seeing the answer to this question, log is the number that another number is raised too to get a sertain amount. for example log(1325) is 3.122 (rounded). this is useing the standered form 10 for the log function, this meaning that 10 raised to the 3.122 will equal aproximatly 1325. another example would be log3 (1000) what you are trying to find here is 3 raised to what power will equal 1000 which of course is 6.287709822868.

wtovreaMar 17, 2014

+130561

Mmmmm....we have a dilemma here. If I take the cos inverse of (-32/40), I get about 143 degrees. But, if I take the sin inverse of ( 35/40), I get about 61 degrees.- or an angle of about 119 degrees, since the angle is in the second quadrant.

The other problem is that the hypotenuse = 40. But, SQRT((-32)^2 + (35)^2) = about 47.72. So, one hypotenuse is greater than the other.

Check your problem, ara, and see if your numbers are correct. (The sin and cos inverses of your original problem produce different angles, too)

As Melody said before, someone else is free to check any flaws in my logic!!

CPhillMar 17, 2014

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