Algebra - math word problems - page 291 of 303
Number of problems found: 6048
- By dosing
A dairy uses a new and an old line to dose yogurts. By dosing yogurts on the old line, the order is fulfilled in 6 hours. If both lines work together, they will fulfill the same order in 2 hours. How many hours will it take to fulfill such an order if the - Machines
There are three machines in the workshop. The first treats 250 parts for 4.7 hours, the second treats 300 parts for 1.9 hours, and the third treats 230 parts for 4.6 hours. How long will it take to make 3100 parts if all three machines are worked simultan - 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. - 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) - Score on tests
On the first six tests in his Mathematics subject, his scores were 92, 82, 86, 93, 96, and 91. If he took the seventh test and raised the mean of his scores by exactly one point, what is his score on the 7th test? - Suspicion 82035
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion?
- Salicylic 38401
Prepare 600 g of an 8% solution of salicylic acid. - Cleaning 27663
During the pool cleaning, two drains and one inlet were opened. The first outflow would empty the pool in 6 hours, the second outflow would fill it in 9 hours, and the inflow would fill it in 12 hours. How long will it take to empty if the drains are open - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Three workshops
One workshop can complete the task in 48 days, the second in 30 days, and the third in 20 days. In how many days would the task be completed if all workshops worked? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles. - Distinguish 71184
We randomly choose a family with three children. We distinguish between gender and age. Determine the probability that: a) the youngest girl will be among the children b) all children will be of the same sex - 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. - Probability 68564
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll?
- Traffic accidents
Of the total number of traffic accidents, 80% occur in the village and 20% outside the village. If the number of traffic accidents in the village were reduced by 40%, by what percentage would the total number of traffic accidents decrease? - Three pumps
The water tank is emptied with the first pump in 6 hours and with the second pump in 2 hours. All three pumps had to be started at once to be emptied in 1 hour. How long will it take to empty the tank with only the third pump? - Together 70014
Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton. - Percentage 37021
What percentage of vinegar do we get by mixing 2 liters of 8% vinegar with 3 liters of 4% vinegar? - Positive 7040
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4
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