Themes, topics - math word problems - page 21 of 167
Number of problems found: 3330
- Determine 82724
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the area of this square. - Kilometers 82721
A cyclist travels at an average speed of 22 km/h. Determine how many kilometers he travels in three and a quarter hours. - Individual
To prepare 14 kg of cheese with 45% dry matter, 3 types of cheese mixtures were mixed. The first was 5 kg, the second was 3 kg and had 14% more dry matter (14 percentage points more) than the first. The third mixture, which had 2 times as much dry matter - Resistance 82714
A load of 23.5 ohm is connected to an ideal voltage source of 30V, and a current of 1.2A passes through the circuit. Determine the magnitude of the source's internal resistance and the short-circuit current. - Railings 82711
Seven part-timers paint 280 m of railings in 5 hours. How many meters of railing will nine part-timers paint in 4 hours? - Direction 82705 A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart?
- Semicircle 82687
If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it.
- Soda bottles factory
Two different filling machines fill soda bottles to order. If the first machine worked alone, it would need a third less time to complete the order. How long would it take each machine to complete the job independently if the faster machine worked for 96 - Different 82683
There are candies from 1 to 10 in ten different packages. Each child took two packages. They got so many candies: Anka: 5 Zuzka: 7 Katka: 9 Monica: 15 How many candies does Lucka have? - A raft
I want to build a raft, and I have beams with a square section with side a=20cm and length l=2m, wood density 670 kg/m³. I will connect 10 beams - what is the volume of the raft and its weight? How deep will a raft sink in water (water density 1000kg/m³)? - Remaining
Mom baked buns for dinner. Dad ate 1/3 of them. Then Jurko came and ate a quarter of the remaining buns. After Jurko came to Martin, who ate a third of the remaining buns. Anka ate half of the remaining buns and Mom was left with four buns. How many buns - Shifts 82622
Four trucks will move the pile in 25 shifts. How many cars are needed to reduce the time by 2:5? - Traveled 82618
The car traveled a distance of 120 km in 1 hour 50 minutes. The first part of this track traveled at a speed of 50 km per hour, and the second part traveled at a speed of 75 km per hour. The 10 minutes the driver needed to fill the gas are included in the - Suspended 82617
A round steel weight (ρ1=7800 kg/m3) is suspended on a thread and immersed in water (ρ2=1000 kg/m3). The volume of the weight is 1dm³. With what force is the thread stretched? - Quadrilateral 82616
Triangle ABC is divided into line segments. Lines DE and AB are parallel. Triangles CDH, CHI, CIE, and FIH have the same area, namely 8 dm². Find the area of quadrilateral AFHD.
- Efficient 82615
Six maids in a hotel make 200 beds in 2 hours. Calculate how long five equally efficient maids would take to make these beds. Enter the result in minutes. Calculate how long three equally efficient maids would take to make 100 identical beds. Express the - Calculation 82612
Let's assume that the interest in the bank is 10% and that we have saved €1000. 10% may seem like a good investment. However, if inflation is 6%, how much can we save in the bank in real terms? For the simplicity of the calculation, the income is not taxe - Merry-go-round 82611
Calculate the magnitude of the angular velocity of the seat of a merry-go-round moving in uniform motion in a circle with an orbital period of 0.2 minutes. - Acceleration 82603 How far must a car travel to reach a speed of 72 km per hour if it starts from rest in a uniformly accelerated motion with an acceleration of 0.2 meters per second²?
- Weighing 82602
What is the kinetic energy of a stone weighing 1 kg that falls in free fall 5 seconds from the start of its motion? g= 10m/s squared.
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