Equations practice problems - page 232 of 242
Number of problems found: 4827
- Tank
In the middle of a cylindrical tank with a bottom diameter of 479 cm, there is a standing rod 34 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank? - Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0. - Money spending puzzle
Someone spent 1/8 of their money on writing paper and three times as much on stamps. He still has 80 hours left. How many pennies did he have before the purchase? - RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26. - Asymptote
What is the vertical asymptote of f(x) = (-2x-8)/(2x+26) - Paddlers
Students of canoeists traveled on a trip of three days 84 km. On the second day, they traveled 7% more than the first day and on the third day 5 km over the second day. How many kilometers are traveled each day? - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Rhombus and inscribed circle
It is given a rhombus with side a = 6 cm and the inscribed circle r = 2 cm radius. Calculate the length of its two diagonals. - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Square Number
If to a square of integer number add 33, we get the square of the following integer number. What is the original number? - Prism
Three cubes are glued into a prism. The sum of the lengths of all its edges is 487 cm. What is the length of one edge of the original cube? - Tanker
The first pump can empty an oil tanker in 6.1 hour, and the second pump can empty a tanker in 10.3 hours. If the first pump starts at 5:00 and the second starts 1.4 hour later, when will the tanker be empty? - Trio
A trio of workers earns 770 euros. Money is divided by the work that each of them makes. The first received twice the second, and the second received three times more than the third. How many got everyone's workers? - Interest
What is the annual interest rate on your account if we put 43280 and after 198 days received 44293.9? - Hostel
Students are accommodated in 18 rooms. Rooms were 4 and 6 bed. How many rooms in which type occupied 92 children there? - Clock
How many times a day do hands on a clock overlap? - Circle
The circle touches two parallel lines, p, and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0 - Slope
What is the slope of the line defined by the equation 4x -2y = 10? - Sea water
Seawater contains about 6.5% salt. How many dm³ of distilled water must we pour into 21 dm³ of seawater to get water with 1.2% salt? - Steamship
Between the two ports on the river is going steamship. The journey there and back takes 12:53. Downstream steamship traveling at 19 km/h, upstream 8 km/h. What is the distance between the ports?
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