System of equations + reason - practice problems - page 3 of 21
Number of problems found: 408
- Quantities 60183
Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =? - Members
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has an even index) has a value of 42. Find these members. - 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. - Apple collecting
Luke, Peter, and Tibor compared how many kilograms of apples they had collected. They found that the arithmetic mean of what Luke and Peter collected was 10 kg larger than Tibor's contribution, and the arithmetic means of what Luke and Tibor collected was
- Coefficients 55451
Write a system of 3 linear equations with 3 variables (x. Y. z), which has all non-zero coefficients and a solution x= 2+t, y=3-2t, z=t, where t€R. The fact that the system has all non-zero coefficients means that all numbers in the extended matrix of the - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers. - In the library
The library at Lenape Elementary School has 2/5 as many fiction books as nonfiction books. There are 56 books in the school library. How many books are fiction books? - Maria 2
Maria is seven years older than her brother Robert, and in 2 years, her age will be four times Robert's age three years ago. Find their present ages. - Fruit equation
Find how many peaches could be bought instead of buying one melon, one pear, one apple, and two plums if we know that: • Melon and plum cost the same as three apples • if we subtract the price of a pear from the price of a peach, we get the price of a plu
- Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself? - Consecutive 47011
The sum of two consecutive odd numbers is 184. What are these numbers? - Two-digit number In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
- THE FARM
Hens, goats, and three cows grow on the farm. All animals have a total of 19 heads and 56 legs. How many goats live on the farm, and how many hens live on the farm? - Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi
- The difference 2
The difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number? - Penguins 41161
There were 10 more reindeer than penguins in the ice kingdom. But the lousy witch captured a third of the reindeer. There were only 22 reindeer left in the kingdom. How many penguins lived in the ice kingdom before the evil witch came? - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - Tourists
Tourists hire a guide. Everyone will pay the same amount. If there are two fewer of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid? - The family
How old is a mother if she is four times older than her daughter, and five years ago, she was even seven times older than her daughter? Today, a son is 30 years younger than a father. Seven years ago, a father was seven times older than a son. How old is
Two grandmothers went to the market to sell eggs, and they had 100. When they sold all the eggs, they made the same money. The first grandmother said to the second, "If I sold my eggs for your price, I would earn 15 crowns. " The other grandmother repliedDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
