Basic operations and concepts - math word problems - page 224 of 319
Number of problems found: 6371
- Double-performance 17931
Excavation work was carried out by nine double-performance machines, which excavated 420 meters of excavation in one day. How many were there if the more powerful machine excavated 420 meters in a week (7 days) and the less powerful engine excavated 280 m
- Entrepreneur 7971
Tatrabanka offers deposits with an annual interest rate of 3.6%. How much EUR must an entrepreneur deposit in Tatrabanka so that at this interest rate, after the end of the year, the bank will credit him with €1,000 interest on the deposit?
- Determine 5592
Karel took out a loan of EUR 600 from Ivan 20.2 at a 20% annual rate. From January 10.5, a loan of 1100 Euros at a 14% rate. From Milan 15.9, a loan of 900 Euros at an 11% rate. All three return 30.12. Determine the annual interest rate for all three loan
- Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold?
- Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 1 hours, and the second, which had an average speed of 11 km/h more, passed for 0.65 hours. Calculate the distanc
- Playground 5570
The football club owns five identical mowers. If they used two of them, they would mow the playground lawn in 10 hours. How long would it take to mow the lawn if they used all five mowers?
- Force meter
We put the statuette on the force meter, which showed a value of 25 N. Then, we placed it on the force meter, completely immersed in the water. The force meter showed a value of 17 N. What is the statuette's volume?
- Phone number
A phone number with nine digits, none of which are repeated. The middle number in the second three-digit number is 3 times greater than the 6th and twice greater than the 7th. The three-digit number in the middle 3 numbers is 2 times greater than the last
- Sea water
Mixing 63 kg of seawater with 43 kg rainwater is created water containing 2.7% salt. How much percent of seawater contains salt?
- Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people.
- Chessboard 80533
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column?
- Classical 69634
Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John?
- Different 68064
Anna painted eggs for art. She had five colors for her eggs. He wants to put three of them on each. How many different colored eggs could she paint? (It's just the colors, not the shapes on them. )
- Necklaces 8006
Elena has four beads: yellow, two pink, and green. How many different colored necklaces can he create?
- People 7331
How many people must be in a group for at least two of them to be born in the same month?
- Football 5788
Tomas has four football jerseys: red, blue, white, and green. How many ways can Tomáš place them on the shelf next to each other so that the red and blue jerseys are adjacent?
- Three-digit 5226
How many different three-digit natural numbers can be created so that the digits are different and the last digit is 0?
- Three-digit 5093
How many can you create three-digit numbers from the numbers 1,3,5,7 if we must not repeat the numbers?
- Probability 3219
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18?
- Right-angled triangle
The right-angled triangle XYZ is similar to the triangle ABC, which has a right angle at the vertex X. The following applies: side a = 9 cm, x=4 cm, x = v-4 (v = height of triangle ABC). Calculate the unknown side lengths of both triangles.
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