Themes, topics - math word problems - page 72 of 174

Number of problems found: 3474

Buoyancy force
An adult male has a volume of about 0.070 m³. How much buoyancy affects him when he is completely immersed in water?
Sugar solution percentage
Mix 0.8 kg of sugar into 2.4 kg of water. What percentage of sugar solution do we get?
Current injury protection
1. Describe the path through which the current causing the injury flows. 2. Justify why we should use the lowest type of protector A in our country.
Candy mixture price
The saleswoman mixed two types of candies into the cone. Half a kilo of fruit at 90 CZK per kilogram and 400 g of nut at 117 CZK per kilogram. How many crowns will 1 kg of this mixture cost?
The bath
Dad poured 50 liters of water at 60 °C into the tub. How much cold water must he add at 10 °C to obtain a bath that has a temperature of 40 °C?
Vinegar mixture percentage
What percentage of vinegar do we get by mixing 2 liters of 8% vinegar with 3 liters of 4% vinegar?
Hydrogen peroxide dilution
How much distilled water does a laboratory assistant have to add to 500 ml of 30 percent hydrogen peroxide to prepare a 3% gargle?
Water temperature mixing
The mother prepared half a liter of cold water for the children to drink. It mixed water at 20 °C with 400 ml of cold water at 5 °C. What was the temperature of the prepared drink?
Water temperature mixing
John filled 2 liters of hot water at a temperature of 90 °C from a heater into a five-liter container. What temperature must the water that the container fills have a mixture temperature of 42 °C?
Truck kinetic energy
The truck travels at a constant speed of 70 km/h. The first time it goes empty, and the second time it comes with a load. In which case is its kinetic energy smaller?
Point distance minimization
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest.
Gorilla fruit supply
At the Prague Zoo, they need to know how long the fruit will last for the gorillas. The stock in the warehouse would last the female Kamba for 25 days, the male Richard for 20 days, and the little Nura even for 40 days. How long will the supply last if ev
Running pursuit
Oldřich ran out of the house at 7.00 at 10 km/h. After 3 minutes, Jerry also ran at 12 km/h. A) what time did Jerry Oldřich finish? B) how many km did each run?
Athletic oval
On the 400 m athletic oval, two athletes started back to back from the same level. After the starting shot, they both ran away from each other simultaneously. Athlete A ran at 15 km/h, and Athlete B ran at 17 km/h. A) in how many seconds did the athletes
Boy bicycle pursuit
A boy leaves school at a speed of 1 m/s. At the moment, when he is 100 m away from the school, a classmate on a bicycle comes behind him at a speed of 5 m/s. How long and how far does the boy run from school? Solve by calculation and graphically.
Electric motors
1. What frequency does the electrical distribution network in Europe have? 2. Write what revolutions a synchronous motor with three pole shoes should have? 3. By what device would you increase or decrease the revolutions of an electric motor? 4. Write why
Compressed gas
The pressure vessel contains a compressed gas at a temperature t1 = 27 °C and a pressure p1 = 4 MPa. How much does its pressure change when we release half the amount of gas, and its temperature drops to t2 = 15 °C?
Car deceleration
The car is traveling at a speed of 54 km/hour. The driver starts braking with an acceleration (deceleration) of 3 m/s². Specify the time in which to stop.
Suitcase weight
What was the suitcase's weight if I lifted it to a height of 150 cm and did the work 0.5 kJ?
Stroller pushing distance
Mom did a 5 kJ job pushing the stroller. She always pushed him on the plane with a force of 50 N. How far did she push the stroller?

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