Algebra - math word problems - page 281 of 292
Number of problems found: 5829
- Bricklayers
Seven bricklayers will build the house in 630 days. How many bricklayers do we need to take after 150 days to complete the building for (additional) 336 days?
- Cleaners 81056
Four cleaners will clean the hotel in 15 hours. How long will they clean if, after 8 hours, one gets injured and leaves?
- Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)?
- Everyone 63334
There are three times more children in the gym than adults. The average age of adults is 44 years. What is the average age of children if the total average age of everyone in the gym is 20?
- Six-digit primes
Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7, and 8 just once. How many are there?
- Equation algebraogram
Solve the equation: oco + ivo = cita How much has the task of solutions?
- 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.)
- 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)
- 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?
- Between two bus stops
Wanda lives between two bus stops at three-eighths of their distance. He started the house today and found that he would have arrived at the bus stop if he had run to one or the other. The average bus speed is 60 km/h. What is Wanda's average running spee
- The midpoint 2
Find the value of x if M is the midpoint of PQ, PQ=10x−7, and PM=14.
- Five pupils
Five pupils clean 30 chairs one hour before four pupils. How many chairs clean one pupil in 1 hour?
- 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
- 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.
- Electrons 3363
How many electrons must be together to put a charge of -1C together?
- Mailbox
Mailbox is opening at regular intervals 4 times a day. The first time is opened at 8:00 and the last at 16:00. Calculate the hours when the mailbox is opened during the day.
- 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 10 years 43000 deposit if the interest rate is 1.3% and the interest period is a quarter.
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