Themes, topics - math word problems - page 28 of 159
Number of problems found: 3172
- Electrical 80549
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. - Determines 80548
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 80546
In a factory, 10 lines produce many screws in 8 days. How many days will production be extended if two of them fail? - Regulations 80545
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 80527
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 K-1) - Seven-liter 80518
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.
- Coefficient 80516
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 4.4·10-3K-1. - Coefficient 80515
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? - Coefficient 80514
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 - Temperature 80513
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.
- Equations: 80499
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.) - Circumscribing 80498
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's 80490
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 - The electric motor The electric motor winding's copper wire (alpha=4*10-3 K-1) has a resistance of 42 ohms at a temperature of 18 degrees. What is its resistance at an operating temperature of 50 degrees?
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