# Algebra - math word problems - page 285 of 286

Algebra is a branch of mathematics that uses not only numbers and characters but also letters to solve operations. For example 3x+5x is 8x.#### Number of problems found: 5712

- Graphical 4680

Solve the system by the graphical method: x + y = 8 2x-y = 1 - Workers

Two workers, A and B, will be done work together for 15 days. They worked together for 13.5 days. Then A worker became ill, and worker B finished the job alone for 7.5 days. If every worker was working alone, how many days took the whole work for workers - Probability 30271

The probability of an adverse drug reaction is 2.1%. How many people need to be prescribed for one patient to experience side effects with a chance of 90%? - Squirrels

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

- Three workers

Three workers, A, B, and C, have to work on a specific task. Workers A and B completed the task in 22 days, B with C for 10 days, and A with C for 19 days. How long would it take to complete the task for everyone alone? How long would it take to complete - Cleaners

Milan would clean up the room for 2.5 hours, and Eric would take 10 hours. How long do they sweep the room together? - Vinegar

What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar? - Sinus

Determine the smallest integer p for which the equation 4 sin x = p has no solution. - 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?

- Drinks

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? - 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 - 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%? - 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? - Substitution method

Solve a goniometric equation: sin^{4}θ - 1/cos² θ=cos² θ - 2 - Mixture 2

How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution? - 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%? - 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?

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