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Quantity of soda in 154 litres of mixture = (6/11) × 154 = 84 litres Quantity of water in 154 litres of mixture = (5/11) × 154 = 70 litres According to question, Water remains same till the end of the process, So final quantity of soda in the mixture = 70 × (9/5) = 126 litres Quantity of soda to be added = 126 – 84 = 42 litres
Find the coordinates of the centroid of the triangle with vertices A(1, 2), B(4, 6), and C(7, 8).
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
Solve: ∫[2x/(x4+1)] dx
The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
Find the equation of the line passing through the points (1, 2) and (3, 8).
The slope of the equation 24x+8y=56 is