Themes, topics - math word problems - page 109 of 167
Number of problems found: 3330
- Quadrilaterals II
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M and divide the dodecago - Perpendicular sides In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M. The quadrilateral ABMJ
- Needs
Hanka needs 40,000 € to buy an apartment. She can save or pay 300 € each month. The interest rate on deposits is 2%, the monthly deposit is 300 €, the state bonus is 8.5% of the deposit, and the interest rate on the loan is 2.9%. She will be in the saving - Gold horseshoe
Calculate the volume of a gold horseshoe that weighs 750g. - Circumference 7209
The speed of the points lying on the circumference of the rotating disk is 6 m/s. The speed of the points, which lie 20 cm closer to the axis of rotation, is 4 m/s. Find the angular velocity of the wheel. - Motorcyclist
From Trutnov, the motorcyclist started at an average speed of 60km/hour. At 12.30hrs, Peter began driving the passenger car at 80km/hour. How many hours and at what distance will a car catch a motorcycle from Trutnov? - Hydraulic 7194
The hydraulic system has: S1 = 0.02 m² S2 = 2 m² F1 =? F2 = 40000 N What force must we exert to get a force of 40,000 N?
- Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point - Ticháček 7185
Mr. Ticháček had three gypsum dwarfs in the garden: the largest was called Maško, the middle Jarko, and the smallest Franko. Since he liked to play with them, he discovered that when he put Fan on Jarek, they were as tall as Maško. On the other hand, when - Definitely 7179
Ivan and Mirka shared pears in the mission. Ivan always takes two pears, and Mirka takes half of what remains in the mission. Thus, Ivan, Mirka, Ivan, Mirka, and finally Ivan, who took the last two pears, took them away. Definitely. Who had more pears, in - Minutes 7177
The tank holds 140 liters of water. It is filled with a tap in 5 minutes, and the drain is emptied in 7 minutes. How long will it take for the empty tank to fill if we open the faucet and drain it? - Inlet and outlet
The pool has a capacity of 50 hl. The inlet pipe flows in 1 minute 1.25 hl, and the waste pipe outlet drains the full pool in 50 minutes. How long will it take to empty the entire pool when both the inlet and outlet are opened simultaneously? - Kilometers 7161
Peter cycled 24 kilometers on the weekend, twice as many on Saturday and Sunday. Thus, he cycled 24 kilometers more on Saturday than on Sunday. - Two ships
The distance from A to B is 300km. At 7 AM started, from A to B, a ferry with speed higher by 20 km/h than a ship that leaves at 8 o'clock from B to A. Both met at 10:24. Find how far they will meet from A and when they will reach the destination. - Wrench 7152
We used a force of 85 N to loosen the nut when using a 20 cm long wrench. How much force do we use to loosen the nut when using a 10 cm long wrench?
- Acceleration 7149
The body went through a uniformly accelerated path of 30 m in 10 seconds while its speed increased five times. Find the initial speed and acceleration. - Acceleration 7147
The runner ran the track 100m in 10.2 seconds. He ran the first 20m with a uniformly accelerated movement. Then he ran evenly. What was its acceleration on the 20m section, and what was its maximum speed? - Soldier
An experienced soldier digs a good trench in 30 hours. Two soldiers dug the same trench every 40 hours. How many hours will the ditch dig all three together? - Construct
Construct a triangle ABC inscribed circle with a radius r = 2 cm and an angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description. - MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones.
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