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Kamiya Gulati
India
hi..can u give me solution of math puzzle 3...not only answers,,how they are solve..
19 Mar 1242.109.16.198

Hi Kamiya

1) There are 40 coins in a bag, consisting of $ 5 and $ 2 coins. If the total amount is Rs. 140, how many $ 2 and $ 5 coins are there in the bag?
Ans : $5 = x so $2 = 40 -x
5x + 2(40 - x) = 140
5x + 80 -2x = 140
3x = 140 -80
3x = 60
x = 20
So 20 each.

2) Four years ago, the average age of A and B was 18 years. At present the average age of A, Band C is 24 years. What would be the age of C after 8 years?
Ans : (A + B + C )/3 = 24
A +B + C = 72
4 years ago
(A - 4 + B - 4 )/2 = 18
A + B - 8 = 36
A + B = 44
C = 72 -44
C = 28
After 8 years C will be 36 years
Similarly you can solve the rest.

Anita

Yousifmahboubakrfs_empire
Iraq

Q/ Graph f(x)= x-5/(x-5)(x+6) x-5 f(x) = -------- (x-5)(x+6) D = R/{5,-6} But Can't We Write it Like 1 f(x) = -------- (x+6) D = R/{-6} in the first function we couldn't use (x=5) but when we divide by (x-5) we could use (x=5) is that possible ! , or we cant simplify the function ?
17 Mar 12109.224.28.248

Hi,
This is Anita,your Math guide.
Your question is how to graph
f(x)= x-5/(x-5)(x+6)
if the denominator's degree is greater (by any margin), then you have a horizontal asymptote at y = 0 (the x-axis)
The domain is the set of all x-values that I'm allowed to use. The only values that could be
disallowed are those that give me a zero in the denominator. So I'll set the denominator equal to zero and solve.
(x -5)(x + 6) =0
x -5 = 0 or x + 6 = 0
x = 5 or x = -6
vertical asymptote is
x = - 6 , 5

Domain = x not equal to -6, 5
You can see the attachment of this graph.
Answer
If you have any doubt please ask me.

Anita (www.ask-math.com)

Manisha Tapaswi
India
prove that (tanθ/1-cotθ)+cotθ/1-tanθ)=1+tanθ+cotθ
22 Dec 11220.225.70.2

Hi Manisha
Please find the answer of your question. If you have any doubt, you can ask me.
Answer

Manusha Gokhale :writetogokhale@gmail.com (12/22/11)
To me
Thanks a lot. ...
I misssed last step and got into tan2θ+1=sec2θ and goofed it it up. So
I got the answer as 1+sec@.Cosec@
Here is another
ax²+bx+c=0 is the equation. Sum of its roots are equal to the sum of
the squares of the their reciprocal. Prove that bc², ca²,ab² are in AP.

Answer

Question asked by Prateek Verma on YouTube

√(540.563) = 23.25

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