For the following questions answer them individually
If $$(\frac{5}{7})^{4x} (\frac{7}{5})^{3x-1} = (\frac{7}{5})^6$$, then the value of x which satisfies the equation.
If the length of the transverse tangent is 8 cm, then calculate the centre distance (in cm) of the two circles with radii 7 cm and 3 cm.
Calculate the value of $$\angle OBC+\angle BAC$$, if O is the circum-centre of the triangle ABC inscribed in the circle.
Weight of A and B are in the ratio 11 : 8. A’s weight increases by 40% and the total weight of A and B increases by 30%. What is the percentage increase in the B’s weight?
The income of S, T and U are in the ratio of 7 : 9 : 6 and their expenses in the ratio of 4 : 5 : 3. If S saves Rs 2000 out of an income of Rs 14000, then what will be the saving (in Rs) of T?
A mixture contains acid and water in the ratio of 7 : 3. If 4 litres of water is added to it, then the ratio of acid and water becomes 7 : 4. What is the quantity (in litres) of acid in the mixture?
