System of equations - high school - practice problems - page 19 of 45
Number of problems found: 882
- The hiker
The hiker will travel 40% of the route on the first day 1and/3 of the rest of the second day. Last day 30 km. What was the length of the 3-day trip? How many kilometers did he walk each day? - The business
The business earned CZK 98,400 in the shop in three weeks. In the second week, sales were 20% higher than the first week. The third week was 10% lower than the second week. How much did the business earn each week? - Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis. - Distance 8591
The distance between A and B is 132 km. At 9:00, a cyclist set off from A at 24 km/h. At 10:00, a cyclist set off from B at a speed of 30 km/h. How long and for how long will they meet (from A)?
- GP - three members
The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c. - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. A n - Gasoline-oil ratio
The manufacturer of a scooter engine recommends a gasoline-oil fuel mixture ratio of 15 to 1. In a particular garage, we can buy pure gasoline and a gasoline-oil mixture containing 75% gasoline. How much gasoline and gasoline-oil mix do we need to make 8. - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Car repair
John bought a car for a certain sum of money. He spent 10% of the cost on repairs and sold the car for a profit of Rs. 11000. How much did he spend on repairs if he made a profit of 20%?
- Trio weight
Adela, Barunka, and Cecilia are weight in pairs. Adela with Barunka weighs 98 kg, Barunka with Cecilia 90 kg, and Adela with Cecilia 92 kg. How much does each of them weigh? - Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes. - Classmates 8383
Katka bought cinema tickets for her classmates. She bought 7 tickets for Thursday and 5 for Friday for the boy and paid 186 CZK. For the girls, she bought 11 tickets for Thursday and 4 tickets for Friday and paid 246 CZK. How much was the ticket for Thurs - Necessary 8380
With cream with a fat content of 36% and milk with a fat content of 3.85%, it is necessary to make 65 liters of whipped cream with a fat content of 33%. How many liters of each of the raw materials do we need? - Part-time 8379
Three part-time workers earned a total of 560 €. The first made 20% more than the second and the third 40% less than the second. How much did each of them earn?
- Sweaters 8377
The store earned CZK 1,950 for 13 jackets and five sweaters of the same size and quality. The sweater was 350 CZK cheaper than the jacket. Find the price of the jacket and sweater. - Big family
A certain number of people met at the family celebration - their average age was three times the number present. Then came my grandfather, who was 75 years old, and the average age was again three times the number present. How many people are celebrating - Species 8368
20 books for 262 euros One species for 11.60 euros Two species for 13.60 euros how many books to buy for 11.6O euros and how many for 13.6O euros - The mowers
The mowers were to mow two meadows, one twice as big as the other. They divided into two equal groups in the first half of the day. One continued to mow a larger meadow and cut it all by the end of the day. The second group mowed a smaller meadow but did - A fisherman
A fisherman buys carnivores to fish. He could buy either six larvae and four worms for $ 132 or 4 larvae and seven worms for $ 127. What is the price of larvae and worms? Argue the answer.
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