Algebra - math word problems - page 245 of 246
Number of problems found: 4908
- Three workers
Three workers, A, B, and C, have to work on a specific task. Workers A and B completed the task in 14 days, B with C for 23 days, and A with C for 13 days. How long would it take to complete the task for everyone alone? How long would it take to complete
Milan would clean up the room for 2.5 hours, and Eric would take 10 hours. How long do they sweep the room together?
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, and the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from
In a country, 65% of people drink coffee, 50% drink tea 25% drink both. What is the probability that a person chosen at random will drink neither tea nor coffee?
- Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice?
- Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%?
- Grandchildren 80639
The average age of the grandfather, grandmother, and their five grandchildren is 26 years. The average age of the grandchildren themselves is 7 years. Grandma is a year younger than grandpa. How old is grandma?
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar?
- Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar with 30 participants?
- Birthday paradox
How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%?
- Determine 80714
Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t
- Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2
- Identical 7683
In a hotel pool, the pool manager drains the water through two identical drains every 10 hours. How much time would he save in draining the pool if the water was drained through three more drains at the same flow rate?
- Together 3491
One painter would paint the school in 15 days. Together with the second painter, they painted the school in 6 days. In how many days the second painter would have painted the school himself?
- Three shooters
Three shooters shoot, each time, on the same target. The first hit the target with 0.7, the second with 0.8, and the third with 0.9 probability. What is the probability of hitting the target: a) just once b) at least once c) at least twice
- Mixture 2
How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution?
- Apartment 71114
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself?
- Probability 71174
Find the probability that one will fall at least once in three rolls.
- Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400?
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol the pharmacy got?