Themes, topics - math word problems - page 12 of 168
Number of problems found: 3358
- Runner 6
A runner runs the first lap of a circuit at an average speed of 5 km/h. At what speed must the second lap of the same circuit be run so that the average speed of both laps is 10 km/h? - Rent increase
Calculate how much the rent should be increased for the tenant to cover inflation of 7% per year. The first year, the rent is 550 euros. Calculate the correct rent for the first 5 years so that you have the same rent in "loaves". - Dielectric change
An air capacitor with straight plates has a capacitance C0 = 10 pF and a plate distance d = 1 cm. We place a sheet of thickness ∆= 1 mm in the middle between the plates. What will be the capacitance of the entire device? (Marginal effects can be neglected - Conductor - induction
A conductor in the shape of two circular turns with radii of R=5 cm is placed in a magnetic field with induction B=0.6 T perpendicular to the direction of induction. What is the electromagnetic voltage induced in this conductor when the magnetic field dis - Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram. - Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an interest rate of 10% p. . a., he paid €19,000 for it. How much € of interest was deducted from the face value of the bill? - Tractor 19
A tractor plows a field in 48 hours using a plow with 5 blades. How long will it take it to plow the same field with a plow with 6 blades of the same width, while maintaining the same tractor speed? - Rotational motion of a cylinder
Calculate the kinetic energy of a cylindrical body of radius r= 0.08 meter and mass m= 1.5kg at time t= 5 s, if this body rotates around an axis passing through the center of the cylinder with a constant acceleration Ԑ= 5 rad/s², if at time t=. - Water + temperature
We supplied 1365 kJ of heat to water weighing 5 kg and initially at 20°C. To what temperature did it heat up? - Painters 5
Six painters were supposed to paint 6000 m² of area within the planned time. Two painters got sick, so each of the four who remained had to paint 50 m² more each day than the planned daily output. Calculate the original planned daily output of one painter - Grass Mixture
Peter plans to buy a grass mixture consisting of meadow grass and fescue seeds for 40 euros. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each component should he buy if the resulting mixture is to weigh 6 kg? - Ice + water
A rectangular ice rink measuring 60 m by 30 m had a layer of ice 3 cm high. How many liters of water were used to create the ice? - Vegetables - slime
A private vegetable grower harvests in 12 hours, and his son in 10 hours. How long will they harvest together? - Physics - board, lever
A wooden board weighing 0.5 kg is placed on a table. How much of its length can it protrude over the edge of the table without falling if a weight weighing 0.2 kg is placed at its end? - Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer. How long are her wands? - Small interest 3
Tomáš had a certain amount of money in his account, which earned him €64 in interest for a year at an interest rate of 2% p. a. What would be the interest on the same amount if the annual interest rate was 3.5%? - Equality of Moments A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg. Find the place where the lever must be supported so that it is in balance.
- Large 2
The large wheel has 72 teeth, the smaller wheel has 56 teeth, and the small wheel has 27 teeth. How many revolutions will the smallest wheel make when the largest wheel turns 120 times? - Into the bottle
The bottle can hold water weighing no more than 1 kg. Can you pour gasoline weighing the same amount into this bottle? - Construct 22
Construct a rhombus ABCD if the diagonals are f=7cm, e=5 cm.
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