System of equations + time - practice problems
Number of problems found: 322
- Flower shop
In a flower shop, a bunch containing 3 tulips, 2 roses, and 1 daffodil cost $10.79. A different bunch containing 1 tulip, 2 roses, and 3 daffodils costs $10.13. A tulip costs 35 cents more than a rose. How much does 1 tulip and 1 rose, and 1 daffodil cost - Peter 16
Peter travels to his uncle's home, 30 km away from his place. He cycles for 2/3 of the journey before the cycle develops a mechanical problem, and he has to push it for the rest of the journey. If he is cycling 10 km per hour faster than his walking speed - Tadeo
Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend? Write a system of equations that represents the situation. Let x r - Kevin 4
Kevin is 4 years older than Margaret. Next year Kevin will be 2 times as old as Margaret. How old is Kevin?
- Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa - Jackie 2
Jackie bought an equal number of tulip bulbs and daffodil bulbs. Along the length of her garden, Jackie planted 6 daffodil bulbs and 3 tulip bulbs per foot. She has 5 daffodil bulbs and 29 tulip bulbs remaining to plant elsewhere. How long is Jackie's gar - The temperature 38
The temperature has been dropping 2 degrees every hour, and the temperature at 10:00 AM was -15 degrees Fahrenheit. At what time was the temperature 0 degrees Fahrenheit? - Acceleration 83304
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th - Calculate 83039
The whole movie lasts 1 hour. The time left until the end of the film is half of the time that has already passed since the film's beginning. Calculate how many minutes are left until the end of the movie.
- Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - Traveled 82618
The car traveled a distance of 120 km in 1 hour 50 minutes. The first part of this track traveled at a speed of 50 km per hour, and the second part traveled at a speed of 75 km per hour. The 10 minutes the driver needed to fill the gas are included in the - Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Boiler 82273
The ship and boiler are 49 years old. The ship is twice as old as the boiler was when the ship was as old as the boiler is now. How old is the ship? - Fifteen 82121
The father is five times older than the son. The father will be twice as old as the son in fifteen years. How old is Dad now?
- X-coordinate 81737
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Neighbor 81456
Mr. Novak earns as many euros in half a year as his neighbor in 4 months. The neighbor earns 420 euros more per month than Mr. Novak. What is the monthly income of Mr. Novak? - Simultaneously 81441
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately? - Father 81149
The father is older than the son by the ratio of 5:2. Dad is older than 33. How old are they both? - Younger 81047
In 2005, Petr was three times as old as Karel. In 2020, Karel was half his age younger than Petr. In which year was Peter born and in which Karel?
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