Algebra - math word problems - page 289 of 302
Number of problems found: 6040
- Tractors
Five tractors will plow the field for 8 hours. In 2 hours, one tractor broke down. How long do the remaining tractors complete the plow?
- Concentration
We try 0.5 liters of 8% vinegar dilute to a concentration of 20 hundredths % of vinegar. How many liters of water must we add?
- Compound interest 4
Peter placed 3600 dollars in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent?
- Dining questionnaire
In the class of 32 pupils, the class teacher delivered a satisfaction questionnaire to the school canteen. Eleven people have questioned whether they are satisfied with the dining room. The completed questionnaire also included the vote of the class teach
- Five number code
I forgot a five-digit code on the bag. I remember that it was a symmetric number, and the sum of its digits was 22. Write down all the numbers that can be coded.
- Third-class 8334
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain?
- Permutations 6450
Seven times the permutations of n elements equal one-eighth of the permutations of n + 2 elements. What is the number of elements?
- Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are?
- Shifts 82622
Four trucks will move the pile in 25 shifts. How many cars are needed to reduce the time by 2:5?
- The dam
The water reservoir is filled with the first tributary for 25 hours and the second tributary for 35 hours. Sometimes, both inlets open, then a second tributary closed, and they filled the tank in four hours. What time does water flow from both tributaries
- Newspapers 13781
Ten machines produced newspapers in 18 hours, and two machines rang for 2 hours. Thus, the production took 18 hours.
- Condensation
How many liters of water must be evaporated from 400kg of a 10% soda solution to get a 16% solution?
- Wayne
Wayne can clear a plot of land in 1/3 hours, and Melvin can clear the same plot of land in 2/4 hours. What could possibly be the time for both Wayne and Melvin if they combine to clear the same plot of land?
- Kilograms - drying
Fresh herbs contain 90% water, dried 10% water. How many kilograms of herbs can we dry from 15 kg of fresh ones?
- All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a.
- Mushrooms
Mushrooms lose 90% by weight drying. How many fresh mushrooms are needed for 5 kg of dried mushrooms?
- Interest
What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2?
- Radioactive decay
A type of radioactive element has a mass of 1.125 grams. Upon analysis, he is found to be 405 years old. If this radioactive element decays by half every 45 years, find how many grams of this radioactive element there were 405 years ago.
- House numbering
The residential house has three entrances, numbered even numbers, successively immediately behind. The sum of the two numbers on the outside entrances is 68. Calculate the middle of these three numbers.
- Consecutive 47011
The sum of two consecutive odd numbers is 184. What are these numbers?
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