Algebra - math word problems - page 293 of 303
Number of problems found: 6055
- Calculation 7334
In a computer center, one computer would work 12 hours to solve a task, and another, more powerful, would solve the same task for 10.5 hours. If both computers work together, the calculation time would be reduced for a certain period. Calculate how long i - Simultaneously 2468
Hiker A travels a certain distance in 5 hours and 24 minutes. Hiker B travels the same distance in 6 hours and 45 minutes. After what walking time will they meet if they simultaneously start opposite each other on the same route? (To the route that everyo - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Twos
Vojta started writing the number this year, 2019202020192020, into the workbook. And so he kept going. When he wrote 2020 digits, he no longer enjoyed it. How many twos did he write? - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Three-digit 5312
Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits. - Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Numbers 7841
In the middle between the unknown number and the number 166 is the number a) 164, b) 200, c) 500 d) 1356 What are the unknown numbers? - The pool
The pool has a volume of 40 m3, and the water temperature is 20 °C. How much water at 100 °C should we pour into the pool to increase the water temperature by 5 °C? - Madams
During spring cleaning, ladies were going to wash the windows. Mother takes 2 hours to wash all the windows, the grandmother takes 2 times longer, and Paula washes all the windows in 2 hours. How many hours will you spend washing the windows of this "wome - Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Independently 12921
Factory A can fulfill the order independently in 10 days. Factory B fulfills the same order in 16 days. How many days will the order be completed if only plant B works on it for 3 days and then both plants together? - The speed
A moving object's speed (v) is inversely proportional to the time (t) traveled and is written as? - 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? - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there? - Developed 64664
In the first stage, the cyclist covered 70 km at a speed of 22.1 km/h. In the second stage, he covered 40 km (a total of 110 km), and his average speed increased to 22.9 km/h. What an average speed he developed in the second stage! - Four-digit 55481
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - Inequality 7320
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - MO Z6-6-1
Write integers greater than 1 to the blanks in the following figure so that each darker box is a product of the numbers in the neighboring lighter boxes. What number is in the middlebox? - Interest
Calculate how much you earn for 8 years 17000 deposit if the interest rate is 1.2% and the interest period is a quarter.
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