Themes, topics - math word problems - page 34 of 168
Number of problems found: 3360
- Sequence difference ratio
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - Calculate energy
A cheetah weighing 38 kg moves at a speed of 108 km/h. Calculate its kinetic energy. - Factory light savings
The factory hall is lit by 76 light bulbs, each of which has an input of 200W. Determine how much electrical work will be saved annually if the light is on an average of 100 minutes less per day. Consider 260 business days. - Paris Bern scale
Find the map's scale, on which a line segment of 15 cm expresses the actual distance of 435 km between Paris and Bern. - Production line failure
In a factory, 10 lines produce many screws in 8 days. How many days will production be extended if two of them fail? - Highway distance speed
The car is allowed to drive on the highway at a maximum speed of 130 km/h. What distance can he travel in 1.5 hours? Which is the furthest city that a driver can reach in 1 hour if he follows traffic regulations and drives from Prague on the highway to Br - Home is home At 65km/h, Alfred can reach home in 50 minutes. At what speed should he drive his car so that he can reach home 10 minutes earlier?
- Unit resistance
What is the resistance of a two-conductor line 10 m long made of 4.0 mm² aluminum wire? - Mechanical energy
A stone with a mass of 2 kg falls in free fall from a tower with a height of 80 m. What is its kinetic energy, and what is its potential energy: a) At the beginning of the fall, b) In 1 s from the beginning of the fall, c) Upon impact, d) What is its mech - Osmium wire
A spiral of osmium wire has a resistance of 300 ohms at a temperature of 20 degrees Celsius. To what temperature was the coil heated if its resistance rose to 2940 ohms? (alpha=4*10-3 1/K) - Water container measurement
Happy Mom needs to measure exactly 6 liters of water. It only has a five-liter and a seven-liter container. How can a mother measure exactly 6 liters of water by gradually pouring? He doesn't care about other containers. - Aluminum resistance temperature
An aluminum wire has a resistance of 4.25 ohms at 0 degrees. Determine its resistance at a temperature of 200 degrees Celsius. The temperature coefficient of the electrical resistance of aluminum is 4.4·10-3 1/K. - Tractor friction work
A tractor pulls a tree trunk weighing 1.5 t for a distance of 2 km along a horizontal road at a constant speed. What mechanical work does it do if the coefficient of sliding friction is 0.6? - Platinum temperature coefficient
The resistance of a platinum wire at a temperature of 20°C is 20 Ω, and when heated to 500°C, it increases to 59 Ω. Determine the mean temperature coefficient of platinum - Coil resistance temperature
A copper wire coil winding has a resistance of 10 Ω at a temperature of 14°C. The passing current by the coil heats up, and its resistance increases to 12.2 Ω. To what temperature did the coil winding heat up? α = 3.92 * 10-3 1/K. - An electrician 3 In setting up a wiring job, an electrician ran the following lengths of wire: 340 m, 203 m, 74 m, and 99 m. Find the total length of wire used.
- Integer part system
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Triangle circle proof
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - Grandmother house distance
Little Red Riding Hood walked through the forest from her house to her grandmother's house. She walked at an average speed of 0.75 m/s. She left her house at 11:30 and reached her grandmother exactly at noon. How far from her house does her grandmother li
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