Themes, topics - math word problems - page 75 of 174
Number of problems found: 3474
- Painter hiring
Twelve painters will paint all the rooms in the hotel in 75 hours. How many painters must the operating staff hire when the rooms have to be painted in 60 hours? - Aluminum resistance temperature
The aluminum line has a resistance of 7.6 Ω at -10˚C. What will be its resistance at a temperature of + 50˚C? - RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material. - Map distance
On a map with a scale of 1:250000, the distance between the two mountain peaks is 32 mm. What is the actual length in km? - A 36
A 36 g sample of the substance contains 91% water. After drying, the weight of the sample was reduced to 18 g. What percentage of water is now in the sample? - Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long - A pressure
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created? - Compressive force
The excavator's area of belts is 5 m2, and it creates a pressure of 40 kPa. How much compressive force does the excavator exert on the road? - Inclination of a hill
A skier starts down a hill of length l and an angle of inclination of 10˚. It then moves to a horizontal section of the track, which travels the same length l until it stops. Determine the coefficient of sliding friction between the skis and the snow. - Dance ensembles
Four dance ensembles were dancing at the festival. None had less than ten and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many - Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - Sand
How much can m³ of sand be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m³. - Maxwell’s inductance bridge
The four arms of Maxwell's inductance bridge are as follows: Arm AB contains an inductive coil of inductance L1 with resistance R1. Arms BC and CD contain non-inductive resistances of 200 Ω and 100 Ω, respectively. Arm AD contains a standard inductor of i - Physics - pressure Find the pressure exerted by a crawler tractor of mass 30 t standing on a flat road if the area of the belts' contact surface with the ground is 6 m square.
- Grandma
We're going to Grandma's. We still have 24 km left. How far does Grandma live if we have traveled from the total distance: half, a third, a fifth? - The projectile
The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s. Find the range and flight time of the projectile. - Three
Three buses follow the same circular route. The first driver is the slowest because he has many stops, and it takes him 90 minutes to cross the route. The second driver will pass the circuit in 1 hour. The third driver has the fewest stops, and the circui - Up and down motion We throw the body from a height h = 5 m above the Earth vertically upwards v0 = 10 m/s. How long before we let the second body fall freely from the same height to hit the Earth simultaneously?
- Solution volume
Calculate the volume of 50% KI solution and the volume of 20% KI solution needed to prepare 180 g of 30% KI solution. The solution densities are known: ρ50% = 1.54575 g / cm3, ρ20% = 1.16597 g / cm³. - Three roads
The three boys moved from start to finish on three different routes, A, B, and C, always simultaneously. Adam drove road A 1500 m long on a scooter. Blake walked route B 600 m long on foot. Cyril got on a scooter on route C after a 90 m walk, then he left
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