Power + reason - practice problems
Number of problems found: 41
- Variations 3rd class
From how many elements can we create 13,800 variations of the 3rd class without repeating? - Trapezium zoom
How many times increase the area of the trapezoid if all sides and altitude increase 5 times? - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - New computer
The new computer process a certain amount of data for 6 hours. How many hours will process the same amount of data older computer with a quarter lower performance? - Pump
What power does a pump output to move 4853 hl of water to a height of 31 m for 8 hours? - Directly 55591
If n is a natural number that gives a division of 2 or 3 when divided by 5, then n gives a residue of 4 when divided by 5. Prove directly - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these? - Three machines
The power of the three machines is 2: 3: 5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours? - Root
The root of the equation (x-10)² +4 = x² +35x is (equal or greater or less than zero). ... - Substitute 2633
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be? - Workman - shift
The worker produces 300 components per shift. How many components would be produced in the 18 shifts if his performance gradually increased every shift by 3 components? - Three-digit 5312
Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits. - Determine 5893
Determine the largest integer n for which the square table n×n can be filled with natural numbers from 1 to n² (n squared) so that at least one square power of the integer is written in each of its 3×3 square parts. - 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) - Tiles
How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles? - Multiply 6257
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam? - Tributaries 3458
At the swimming pool, they usually use three tributaries with the same power to fill the pool. Then the pool will fill in 5 hours. How many hours less would it take to fill the pool if they added 2 more inlets with the same capacity? - Complete 2833
The tiler covered 3/5 of the wall with tiles in two hours and 45 minutes. How long did it take to complete the entire lining area at the same power? How long did the whole job take him? - Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.