Themes, topics - math word problems - page 70 of 174
Number of problems found: 3474
- Machine production
Six equally powerful machines produce 870 parts in 14 hours. Calculate in how many hours 870 parts will have four such machines. - Free fall
How long and at what speed does the body fall to the ground during a free fall from a height of 35 m? - Salt solution preparation
Prepare 2 liters (kg) of a 3% salt solution in water. - Hydrogen peroxide solution
Prepare 250 g of a 30% solution of hydrogen peroxide in water. - Salicylic acid solution
Prepare 600 g of an 8% solution of salicylic acid. - Blue rock solution
Prepare 100 g of a 15% blue rock solution. - Copper wire
What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm if the density of copper is 8.8 kg/dm³? - Plane distance
Two planes took off from Prague at one point. The first is flying north at a speed of 420 km/h, and the second is flying east at a speed of 560 km/h. How far apart will they be as the crow flies in 25 minutes of flight? - Bricklayer work
A bricklayer will lay 12 m³ of brickwork in 4 days if he works 7 hours a day. How many days will he lay 51 m³ of masonry if he works 8.5 hours daily? - Rotary motion
Find the orbital time, rotational frequency, and angular rate of the second and minute hands on the watch. - Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Electrostatic
A proton with mass mₚ = 1.67 × 10⁻²⁷ kg and electric charge e = 1.6 × 10⁻¹⁹ C, initially at rest, is acted upon by a uniform electrostatic field of unknown intensity E. The proton moves in the direction of the field lines and over a path s = 22 cm acquire - Electric field intensity
What is the intensity of the electric field at a point that lies in the middle between two point charges Q1 = 5.10-5 C and Q2 = 7.10-5 C, which is separated by r = 20 cm? The charges are placed in a vacuum. - Roller fluid
The homogeneous roller weighs 7.36 kg and has a volume of 8 dm³. Use the MFCH tables to select the fluids in which the specified body declining blue, it floats. - Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds. - Two ports
Two ships commute along the same route between the ports of Mumraj and Zmatek. They spend negligible time in ports, turn around immediately, and continue sailing. At the same time, a blue ship departs from the port of Mumraj, and a green ship departs from - Interest rate
We borrowed CZK 50,000. The annual interest rate was 6%. We have to repay the entire debt in 5 years. How much will we pay? (use the compound interest relationship). - Questions on sync motor
1. In an asynchronous motor, does the drawn current with the increasing mechanical load grow or decrease? 2. How is the difference between the revolutions of the magnetic field of the stator and the revolutions of the rotor called? 3. What is the meaning - Loan debt
We borrowed CZK 150,000 at a monthly interest rate of 2%. Interest is added at the end of each month, and we immediately pay an installment of CZK 30,000. How much will we owe in five months? - 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
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