Basic operations and concepts - math word problems - page 223 of 322
Number of problems found: 6438
- 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 - 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. - 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%? - 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? - 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? - 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? - 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 - 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? - Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it - 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. - Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n - Alternate 4766
Each of the three players draws 3 top cards from the deck of 54 cards and returns one card to the deck from the bottom. The first, second, and third players alternate regularly. In which round does the first player draw again the card he got rid of in the - Trapezoid 83
Trapezoid ABCD is composed of five triangles. Points E, and G divide segment AB in the ratio 2:4:3 (in this order) into three segments. Point F is the midpoint of segment AD. Triangle AEF is isosceles and right-angled. Triangles GBC and CDG are right-angl - MO Z8-I-1 2018
Fero and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David.
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