Equations practice problems - page 96 of 240
Number of problems found: 4793
- Parallelogram 25371
A parallelogram with a side length of 5 cm and a height to this side length of 4 cm has the same area as an isosceles triangle with a base length of 5 cm. What is the height of this triangle? - Determine 25341
In a two-digit number, the number of tens is three more than the number of ones. If we multiply the original number by a number written with the same digits but in the reverse order, we get the product 3 478. Determine the actual number. - In the dairy
The dairy had three times more milk packages than half a liter. Four times more liters remained when sold in 10 liters and 10 half-liter containers than in half-liter packages. How many packages were there originally? - On a
Someday, the Sun, Venus, and the Earth will be in eclipse, i.e., Venus will be between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again? - Simultaneously 25191
A tourist who travels at a speed of 8 km in 2 hours and a cyclist who travels at a speed of 10 km in half an hour set off from two places 24 km apart simultaneously. How long are they on the road before they meet? - The rectangle
The rectangle has a circumference of 32 m. One side is 2 m longer than the other side. Calculate the side lengths of this rectangle. - Intersections 25141
The quadratic function has the formula y = x²-2x-3. Sketch a graph of this function. Find the intersections with the axes. Find the vertex coordinates. - What time is it?
What time is it when there is four times less time left until midnight than the time that has elapsed since noon? What time is it when one-fifth of the hours that have passed since equal midnight, one-third of the hours that are missing by 12 o'clock? - Calculate 25111
The quadratic function has the formula y = -2x²-3x + 8. Calculate the function value in points 5, -2, and ½. - Circle and square
An ABCD square with a side length of 100 mm is given. Calculate the circle’s radius that passes through vertices B, C, and the center of the side AD. - Double ratio
The mobile phone was twice gradually discounted in the ratio of 3:2 and one-half: five-quarters. If the price was CZK 4,200 after a double discount, how much did it initially cost? - Second side
Calculate the length of the other side of the rectangle if its circumference is 60 cm, and one side is 10 cm long. - The field
Three tractors plow the field in 6 hours. However, after 2 hours, one tractor broke down. How long will the field be plowed? - The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216 cm². What is its length? - 14 percent
If 14 percent is 56, what is the base? - Started
A pedestrian leaves point A with a speed of v1 = 5 km/h. After 3 hours, a cyclist follows him from the same place at a speed of v2 = 20 km/h. But a car starts from point B, 50 km away at the same time as the cyclist. Calculate the distance and time at whi - Work together
Two bricklayers are plastering a wall. The first would plaster it in 8 hours, the second in 12 hours. If they work together, how many hours will they be done? - Percentage increase
What is the annual percentage increase in the city when the population has tripled in 20 years? - Magnified cube
If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube. - Internal angles
In the ABC triangle, the magnitude of the inner angle beta is one-third the magnitude of the angle alpha and 20° larger than the magnitude of the gamma angle. Determine the magnitudes of the interior angles of this triangle.
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