Algebra - math word problems - page 275 of 304
Number of problems found: 6074
- Cancer in woman population
In a particular population of women, 40% have had breast cancer, 20% are smokers, and 13% are smokers and have had breast cancer. If a woman is selected at random from the population, what is the probability that she has breast cancer, smokes, or both? - Performance 66764
Six masons of equal performance were able to plaster the walls of the new garages in 18 shifts. After 4 shifts of joint plastering, 2 got sick. a) In how many more shifts did the masons complete the said plastering? b) In how many shifts was the assigned - Efficiently 65484 In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c
- Determines 59973
1 kg of white tea costs CZK 1,800. 1 kg of green tea costs CZK 1,200. It determines how many grams of white and green tea will be contained in a package of Buddha's mixture if it weighs 50g and costs CZK 65. - RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material. - Concentration 27551
We need a 4% solution of H2O2 (hydrogen peroxide) for the disinfection solution. We only have a 40% solution available. How much water must we add to 100ml of the original solution to obtain the desired concentration? - Acid evaporation
How many kilograms of water do we have to evaporate from 100 kg of 32% acid to make it 80% concentration? - Together
If eight men, ten women, and 16 children collect ₹1024 in 4 days, how many days will be required for six men, five women, and four boys to collect ₹768? (₹ is Indian Rupee) - Participants 5319
In the mathematical competition, its participants solved two tasks. Everyone solved at least one problem, while 80% of the participants solved the first problem, and 50% solved the second problem. Sixty participants solved both tasks. How many participant - Deposited 65534
Danka and Janka deposited their money in the bank in an account with an interest rate of 2.9 percent pa. How many euros did Janka invest if she earned 4.64 euros in interest and Danka 29 cents less? - Mortage hypo loan
The Jonáš family decided to buy an older apartment, which cost EUR 30,000. They found EUR 17,000 and took a bank loan for the remaining amount. What interest did they receive if they repaid this amount for 15 years at EUR 120 per month? - Remaining
Mom baked buns for dinner. Dad ate 1/3 of them. Then Jurko came and ate a quarter of the remaining buns. After Jurko came to Martin, who ate a third of the remaining buns. Anka ate half of the remaining buns and Mom was left with four buns. How many buns - A particle 2
If the motion of a particle is described by the relation a(t) = 7t³ + 2 m/s², and the initial velocity of the motion is zero when t = 0 and the distance is 2m, t = 0.5s. Determine the velocity and displacement when t = 10s. - Interest rate
We borrowed CZK 50,000. The annual interest rate was 6%. We have to repay the entire debt in 5 years. How much will we pay? (use the compound interest relationship). - Apprentice
The master helped the apprentice complete part of the task, the apprentice completed the rest himself. It turned out that the time needed to complete the task was three times shorter than if the apprentice had completed the task himself. How many times mo - Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down? - A man 2
A man divides $10,000 into two investments, one at 10% and one at 30%. Find the amount invested at each rate so that the two investments produce the same income annually. - Holiday SMS
Kucera and Malek start the holiday together. They agreed that they would send an SMS if they were 100 km apart. Kucera traveling at 60 km/h., Malek 90 km/h. They started at 14 hours PM. At what time do they send a message? - Perpendicular 13491
Draw in one picture: a) straight line RZ b) YZ for which YZ is perpendicular to RZ c) the half-line RS diverging with YZ and with the line RZ d) point F, which lies on YZ outside the already selected points e) point H, which lies on the half-line RS and t - Five-digit 80104
How many different five-digit numbers with different digits can be made from the digits 0, 2, 4, 6, 7, 8, and 9? How many of them are divisible by 4? How many of them are divisible by 10? How many of them are even?
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