Algebra - math word problems - page 310 of 312
Number of problems found: 6224
- Prisoners
It is estimated that 10% of all federal prisoners have a positive self-image, 40% have a neutral self-image, and the rest have a negative self-image. The estimated probability of rehabilitating a prisoner with a negative self-image is 0.1. With a neutral - Four-digit - sum
A four-digit number has a digit sum of 20. The sum of its last two digits equals the second digit increased by 5. The sum of the first and last digits equals the second digit decreased by 3. If we write the digits of this number in reverse order, the numb - Harvesters
The first harvester will harvest the grain from the field in 20 hours, and the second, the more powerful, will harvest it in 10 hours. How long will it take for both harvesters to harvest this field if the second harvester has to be set up first, which ta - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were originally at the celebration? - Tractors
Two tractors with different capacities are to plough a field. The first tractor can plough the entire field in 14 hours. The second tractor can plough the entire field 8 hours déle. How long does it take both tractors to plough the entire field working to - Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2 - A report
Maricris can type a committee report in 5 hours. Jane helped Maricris, and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked on alone? - School reward
There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school? - Hydrochloric acid
Determine the concentration of which must have a solution of hydrochloric acid that mixes 10 l of the solution with 8 liters of 26% solution to get the solution with a concentration of 50%. - Side effect probability
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%? - Three drivers
Three drivers driving in the same direction found that they had the same amount of gasoline. The first is enough to go 6 km, 4 km, second and third 3 km. Gasoline they divided, so all three just drove to the nearest petrol station. How many km away was a - Garden
Father dug up the garden in 19 few hours. Son in 23 hours. How many hours does it take to dig up the garden together? - Position of digits Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position.
- 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? - Drinks In a country, 65% of people drink coffee, 50% drink tea, and 25% drink both. What is the probability that a person chosen at random will drink neither tea nor coffee?
- We are planting
We are planting 2 types of roses (white and red). Experience shows that the probability of a red rose taking root is 0.7. A total of 5 seedlings are planted. What is the probability that: a) the first 2 will be red and the next 3 white? b) all will be red - Cleaners
Miles would clean the room in 2.5 hours, and Eric would take 10 hours. How long would it take them to clean the room together? - Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 19 days, B with C for 19 days, and A with C for 11 days. How long would it take to complete the task for everyone alone? How long would it take to complete the - Workers
Two workers, A and B, will be done work together for 10 days. They worked together for 8 days. Then A worker became ill, and worker B finished the job alone for 6 days. If every worker worked alone, how many days did the whole work take for workers A and - Birdhouse work time
Michael would make a birdhouse in three hours, and Richard would make it in two hours. If they work together, how many hours will it take them to complete it? How much percent more time compared to the time of working together would Michael make the booth
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