System of equations - high school - practice problems - page 2 of 45
Number of problems found: 883
- Components 83328
Divide the number 112 into three components, x, y, and z, so that x: y = 7: 5 and y: z = 3: 4 apply. - 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 - Centimeters 82996
The volume of the trapezoid is 132 cm². The difference in the length of both bases is 6 cm, and the height is 2 cm longer than the shorter base. Determine the height of the trapezoid in centimeters. - Extraordinary 82849
To the three editors - Brandon, Lubosh, and Lucy - the publishing house owner wants to divide the extraordinary bonus of 1000 euros so that Lubosh gets twice as much as Lucy and Lucy receives three times as much as Brandon. How many euros will each of the
- Difference 82737
Mom divided the strudel among her three sons. First, she cut off 1/3 of the strudel. She split the rest in a ratio of 2:3. The difference between the longest and shortest pieces is 4 cm. Determine the length of the strudel in cm. - 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 - Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0. - Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Coordinate 82580
Write the equation of the ellipse that passes through the points, and its axes are identical to the coordinate axes when A = [2, 3] and B = [−1, −4].
- Children 82574
Twenty-nine children attend the club. Eleven said that they have a dog, 14 children have a cat, and 12 children have a hamster. Two children have all three animals. Seven children do not have any animals at home. How many children have at least two of the - Concentrations 82563
In the hospital laboratory, two containers contained different concentrations of alcohol. After mixing 10 liters of alcohol from the first container with 14 liters from the second container, 75% of the alcohol was formed. If 40 liters from the first conta - Expensive 82475
The alarm clock, women's watch, and men's watch cost a total of 1370 CZK. How much does each item cost if a women's watch is six times more expensive than an alarm clock and a men's watch is 200 Sk more expensive than a women's watch? - Short-sleeved 82474
A customer was buying three shirts. First, he chose a white one, then a sports one, which was 32 Sk more expensive than a white one, and finally, a short-sleeved shirt, which was 27 Sk cheaper than a white shirt. How many crowns did the individual shirts - Calculate 82472
Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha.
- 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? - Subtract 82333
I think of three numbers; when I add them, I get 16; when I subtract the third from the sum of the first two numbers, I get 10; when I subtract the second from the sum of the first and third numbers, I get 8. Which numbers do I think? - Numbers 82320
5% of the first and 4% of the second numbers add up to 46. 4% of the first and 5% of the second numbers add up to 44. What are the numbers? - 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? - Determine 82034
The vectors a = (3, -2), b = (-1, 5) are given. Determine the vector c for which a. c = 17; c = 3
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Do you have a system of equations and are looking for calculator system of linear equations? Examples for secondary school students. System of equations - practice problems.