Basic operations and concepts - math word problems - page 224 of 320
Number of problems found: 6399
- Distribution 55071
Five men drive to work together; 2 have a Škoda car, and the others have an Opel, Seat, and Hyundai. They always randomly choose which car to drive. Each of the five cars has an equal chance. The random variable X determines how many days the same charact - Registers 2827
When eight cash registers are open in the grocery store, customers wait for an average of 12 minutes. What will the waiting time be if the other two cash registers open? - Circumference 42471
The lengths of the sides of the triangle ABC are in the ratio 4:2:5. Calculate the size of the longest side of a similar KLM triangle, whose circumference is 66 cm. - Exterior angles
In triangle ABC, the size of the exterior angle at vertex C is equal to 126°. The size of the internal angles at vertices A and B are in the ratio 5: 9. Calculate the size of the internal angles α, β, γ of triangle ABC. - Similar triangles
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm - Electrical 82513
How long will it take for a current of 8A in a resistance of 30 ohms to develop thermal energy of 3 MJ if the efficiency of converting electrical energy into heat is 90%? - Gravitational 61894
The center of force on the wheel is 1.2 m from the axis of rotation, and the load is attracted by the earth's gravitational force equal to 800 newtons at a distance of 40 cm from the axis of rotation. How much force F2 does the worker lift the wheel? - The Europe
The map of Europe is made at 1:4000000, and the distance between Bratislava and Paris is 28 cm. When will an airplane flying 800 km/h fly this journey? - Earnings 20763
Two workers worked on a joint task: One worked 36 hours and the other 40 hours. Earnings of 11400 are divided by the ratio of hours worked. How much did everyone get? - A lot of hay
Martin's grandfather weighed a lot of hay and calculated that it would last 100 days for 15 rabbits. How many days will this lot be enough for 25 rabbits? - Part-time 6476
Specify x - the number of hours if Three part-time workers, 5 hours a day, plant 900 trees. How many hours a day do two part-time workers have to work to plant 480 trees? - Contains 6176
Does the yeast cake contain milk, yeast, sugar, and flour in a ratio of 20:4:1:15. How much sugar do we need to make 160 kg of yeast? - Kilometers 5596
Our Octavia consumes 9 liters of gasoline per 100 kilometers. A liter of gasoline costs the euro. What expression expresses the price of petrol needed for 1 kilometer? - Beginning 4820
Karel saved SKK 12,000 in the savings bank at the beginning of the year. At the end of the year, the savings bank credited him with SKK 1,680. At what annual interest rate did Karel have the deposit in the savings bank? - Smaller 17093
There are two gears in the wall clock. The larger wheel has 54 teeth, and the smaller one has 24 teeth. How many times does the small wheel turn if the big one turns four times? - Young mathematician
One young mathematician was bored again. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the cou - Investment If an investor invests $2000 on January 1st, every year guarantees him 4% per annum. If the interest is calculated on December 31st, how much will the account be at the end of the 10th year?
- Performance 45861
The electric motor with a power input of 25 kW works with an efficiency of 80 percent. He will do the work in 6 hours. What is the performance, and what part of the work is the loss? - Building a wall
If 12 men can build a wall 398 meters long in 48 days, how long would it take 33 men to build a wall 347 meters long? Answer to 3 decimal places. - Selection 4
Selection triangle, which is similar to the given triangle RTG. ∆ RTG, r= 24 dm, t = 28 dm, g= 30 dm. ∆ SHV= 6 dm, h= 7.5 dm, v= 7 dm ∆ VSH= v= 7 dm, s= 6 dm, h= 7.5 dm ∆ HVS= h= 7.5 dm, v= 7 dm, s = 6 dm. ∆ VHS= v= 7 dm, h = 7.5 dm, s= 6 dm. ∆ HSV= h= 7.
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