Basic operations and concepts - math word problems - page 215 of 319
Number of problems found: 6371
- The shadow
The shadow of a 1 m high pole thrown on a horizontal plane is 0.8 m long. At the same time, the shadow of a tree thrown on a horizontal plane is 6.4 m. Determine the height of the tree. - Circle described
The circle radius described in the right triangle with a 6 cm long leg is 5 cm. Calculate the circumference of this triangle. - Four swords
Obelix has three helmets, four swords, and five shields. How many words must you make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor? - Nitrogen gas
In a cylinder with a piston, there is nitrogen N2 with a volume of 5 liters, a temperature of 25 degrees Celsius, and a pressure of 200 kPa. We very slowly compress the gas in the cylinder to half its volume while its temperature does not change. Determin - Entrepreneurs 4509
The entrepreneur took out a business loan of 15,000 at an interest rate of 7.5% p. to start a business. a. The state subsidy for start-up entrepreneurs is 800 euros per year for three years and must be used to repay the loan. How much interest will the en - Circumference 4246
In the ABC triangle, we connected the centers of the sides, creating a smaller triangle with a circumference of 14 centimeters. What is the perimeter of triangle ABC? - Car consumption
When driving in the city, the car has an average consumption of k liters of gasoline per 100 km, but when driving on the highway, it consumes an average of 20% liters less. Express the consumption of a car if it travels 25 km in the city and 75 km on the
- Three sigma rule
The height of trees in a given stand is known to be a quantity with a normal probability distribution with a mean value of 15 m and a variance of 5 m². Determine the interval in which there will be tree heights in such a stand with a probability of 90% - Karim
Karim uses a photocopier to enlarge the triangle PQR diagram by 150%. a) Write the ratio of the length of P' Q' to the length of PQ. b) Is the ratio of the length P 'R' to the length PR equal to the ratio of the length P 'Q' to the length PQ? c) Use your - Christmas 7392
The parents won 12,000 euros. They decided to spend 34% of their winnings on Christmas presents and put the rest in the bank. How many euros did they deposit in the bank? What was the annual interest rate at the bank if they were credited with 118.8 euros - Something 5385
Janko got pocket money and wants to buy something good for it. If he purchased four cakes, it would increase by 0.50 euros. If he wanted to buy five cakes, he would miss 0.60 euros. He would spend all his pockets on the rest if he bought two cakes and thr - Concentration 4419
We added 300 g of water to 400 g of salt solution, reducing the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration? - A department
There are seven women and five men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and one woman be selected? c) how many ways can a committee of at least two women be selected (3 people - Employees 4496
Four workshop workers had a basic hourly wage of € 8.50. Eight employees € 9.60, five employees € 10.90. What was the average basic hourly wage of workshop workers, and what will be if the hourly rates increase by 10% - Grandchildren 3177
My grandfather distributed CZK 1,600 among his grandchildren. He divides the amount proportionally to their ages. The grandchildren are 15, 12, and 6 years. How much will each of the boys get?
- Lemonade
Iva added one liter of 100% fruit juice to three liters of water, leaving two liters for Alice and Beata. She then added two more liters of water to the remaining two liters of lemonade and offered it to other friends. a. What percentage of juice did Alen - Supermarket cashiers
When only two checkouts are open in a supermarket, people wait in line for an average of 12 minutes. If three more ticket offices are opened, how much will the average waiting time in line be reduced? - Arranged 37131
Jane wants to organize 4 English and 3 Slovak books on the shelf to arrange first English and then Slovak books. How many ways can it do that? - Combinations 29311
We have seven players and have to form a 5-member team where 6 and 7 players cannot play together. How many possible combinations can the coach make? Please explain. - Auto-tuning
During auto-tuning, the TV searched for 25 channels, four of which were music. The channels are stored in the TV's memory in random order. Express the percentage of the event that We will save the music channel first.
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