Quadratic Equations Problems - page 21 of 30
Number of problems found: 583
- Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are?
- Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides.
- Trapezium
The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). If the area of the trapezium is 590, find the value of x.
- Everyone 4572
Two workers completed the work in 12 days. If the other worked ten days longer than the first, how long would everyone work alone?
- Multiplied 4545
Philip multiplied the number 4 twice in a row by his lucky number. He added 4 to the result and got a result of 200. What is Filip's lucky number?
- Combinations
How many elements can form six times more combinations of the fourth class than the combination of the second class?
- Triangle ABC v2
The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
- Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm².
- Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
- Time gone
The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be seven times older than him. Thus, Richard and his mom are seven times older.
- Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.
- Expression 4451
Find the largest natural number d that has that property for any natural number n; the number V(n) is the value of the expression: V (n) = n ^ 4 + 11n²−12 is divisible by d.
- Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1)
- Circumference 4430
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle.
- Concentration 4419
We added 300 g of water to 400 g of salt solution, reducing the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration?
- Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square.
- Two trucks
Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km.
- Calculate 4349
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4
- Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements?
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