Basic functions - math problems
Number of problems found: 2468
Jack and Paul decided to play chess against each other. They bet ten pesos on each game they played. Jack won three bets and Paul won fifty pesos. How many games did they play?
- Hiking trip
Rosie went on a hiking trip. The first day she walked 18kilometers. Each day since she walked 90 percent of what she walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Round your final answer to the nearest ki
- Mixing paint with water
Mr. Adamek will paint. The purchased paint is diluted with water in a ratio of 1: 1.5. a) how many parts of water will add to 1 part of the paint b) how many liters of water the mission adds to 2 liters of paint
- Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
- Equilateral cone
We pour so much water into a container that has the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
- Powerplant chimney
From the building window at the height of 7.5 m, we can see the top of the factory chimney at an altitude angle of 76° 30 ′. We can see the chimney base from the same place at a depth angle of 5° 50 ′. How tall is the chimney?
The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41: 9. How much copper and tin are in 2kg of bronze money?
Before Christmas, Eva bought two cylindrical candles - red and green. Red was 1 cm longer than green. She lit a red candle on Christmas Day at 5:30 p. M. , lit a green candle at 7:00 p. M. , and left them both on fire until they burned. At 9:30 p. M. , bo
- In the
In the workshop, it was necessary to quickly complete the production of veils for the hospital. The workshop staff promised to work an additional 240 hours to produce this order in March. The workshop has eight employees who work 160 hours a month. What p
Both the shoemaker and his apprentice repaired his shoes. The apprentice worked for 6 days and repaired 10 pairs of shoes every day. The shoemaker did the same job in 4 days. How many pairs of shoes did the shoemaker repair per day?
- On the
On the map of Europe made at 1: 4000000, Bratislava and Paris' distance is 28 cm. At what time an airplane flying 800 km/h will fly this journey?
- Similarity coefficient
In the triangle TMA the length of the sides is t = 5cm, m = 3.5cm, a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other.
- Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer part?
- Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 dcl on average. What was the volume of one average underfilled beer?
- Final exam
At the final exam, the student answers from three areas, which are evaluated in a ratio of 1: 2: 2. What grade will John receive if he answered as follows: 3,1,2.
- Three workshops
One workshop can complete the task in 48 days, the second in 30 days and the third in 20 days. In how many days would the task be completed if all workshops worked?
One egg boiled in 10 minutes, how long will it take to boil ten eggs at a time?
- Coils of transformer
The primary coil of the transformer has 400 turns, a current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and a number of turns if the transformation ratio k = 0.1.
- Largest wall
Find the content of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm.
Calculate the size of the smaller of the angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1A2A3. .. A12. Express the result in degrees.