Basic operations and concepts - math word problems - page 258 of 332
Number of problems found: 6633
- Element arrangement ways
Determine the number of arrangements of these six elements: a, a, a, b, b, c. - Two-element combinations
Write all two-element combinations from elements a, b, c, and d. - Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0. - Hockey Player Average Age
The average age of the first five hockey players was 22 years. The coach replaced the twenty-three-year-old player with a younger one, which lowered the average age of the first five hockey players to 21 years. How old is the new player? - Workers
Workers are digging a jump pit in the schoolyard. The pit is cuboid in shape, with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit? - Map distance calculation
On a map with a scale of 1:40000, the distance between two mountain peaks is given by a segment of 16 cm. How far will the same vertices be on a map with a scale of 1:140000? Round the result to millimeters. Solve using the trinomial - Car range
Calculate the maximum range of a car if you can spend 5 euros, diesel costs 1.6 EUR/l, and the car's fuel consumption is 5.4 l/100 km. - School year
At the end of the school year, 20% of the 250 children who attended school were awarded. 18% of boys and 23% of girls received awards. Find the number of boys and girls who attend school. - Pharmacy
At a pharmacy, one container holds a 20% disinfectant solution and another holds a 50% solution. 16 litres of a 26% solution need to be prepared. What amount of solution from each container is needed? - Cuboid walls
The block's base is a rectangle whose sides have lengths in the ratio of 13:7. Find the volume of the block in liters if the longer side of the base measures 65 cm and the height of the block is 1.2 m - Pool Volume from Plan
On a project with a scale of 1:250, the length of the pool is 2.00mm, and the width is 1.00mm. The depth of the pool is 1.5 m. Calculate how many hectoliters of water will fit in the pool. - Laboratory
In a laboratory, twelve litres of 80% alcohol were to be diluted to produce 40% alcohol, and then further combined to make a final 70% alcohol solution. A five-litre barrel of 40% alcohol was available. How much of the 40% alcohol will remain in the barre - A particle 2
If the motion of a particle is described by the relation a(t) = 7t³ + 2 m/s², and the initial velocity of the motion is zero when t = 0 and the distance is 2 m, t = 0.5 s. Determine the velocity and displacement when t = 10 s. - Cleaner hours extension
The department store originally employed 8 cleaners for reduced working hours of 4 hours a day. When two of them terminated their employment, 6 cleaners agreed to extend their original daily working hours. Specify its length in hours and minutes. - Juice water mixture
The drink was mixed from one hundred percent juice and water in a ratio of 1.5 liters of juice to 2.5 liters of water. Calculate how many liters of this drink will be created by mixing 1 liter of water and juice in the corresponding ratio. Calculate how m - Bank withdrawal time
We will deposit € 8,500 into the bank at 1.3% interest and withdraw € 8,700. How many years do we have to wait? Round to 2 decimal places. - Book reading
Susan thought, "If I read 15 pages a day, I will read the whole book in 8 days. "How many pages would she have to read a day if she wanted to finish the book on the 6th day from the start of reading? And how many pages does the book have? - Book reading
Suzan reads a book. If she read half an hour a day, she would read it in nine days. How many minutes does she have to read per day if she wants to finish three days earlier? - Diggers
The excavation was carried out in 4 days, and five workers worked on it for 7 hours daily. Determine how long it would take to excavate if seven workers worked on it 8 hours a day. - Natural number pairs
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product.
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