Rearrange variables - math word problems - page 123 of 147
Number of problems found: 2922
- Plane and helicopter
From two airports, a plane and a helicopter took off at the same time. The helicopter was flying to the airport from which the plane took off, the plane to the airport from which the helicopter took off. When they passed each other, the helicopter had flo - Two trucks
Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km. - Fraction equation
Calculate x: (x-1) over (x-2) + (x-2) over (x-4) = 4 - Two cyclists
Two cyclists set off at the same time from the same point. One travels north at 20 km/h and the other travels east at 26 km/h. What is the straight-line distance between them after 30 minutes? - Car overtaking
From place A, the cyclist drove at a speed of 24 km/h. They sent a car behind him an hour later, traveling at 60 km/h. When and how far from place A will a cyclist travel? - Combinations
If the number of elements increases by 3, it increases the number of combinations of the second class of these elements five times. How many are the elements? - A goat
In the square garden of side (a), a goat is tied in the middle of one side. Calculate the length of the rope (r) so that the goat grazes exactly half the garden. If r = c * a, find the constant c. - Ice cream flavors
Half of the class likes vanilla ice cream, half of the rest like strawberry, and the other six like hazelnut. How many children were there in the class? - Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal? - Chocolate cost
How much does whole chocolate cost when 2/3 costs 24 cents? - Hotel capacity
The hotel's capacity is, in total, 30 quiet rooms. Double rooms are x. The rest are triples. Express in terms of the maximum number of guests. - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Rhombus perimeter
Calculate the perimeter of a rhombus, one side of which is 6 cm long, and the height of this side is 2 cm long. The height on the other side is 4 cm long. - Unknown number
19% of the unknown number is 12, less than 23% of the same number. Specify an unknown number. - Circle perimeters
An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the perimeter of the inscribed circle smaller than the circumference of the described circle? - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters. - Diamond side
Determine the length of the side of the diamond, with its two diagonals being 12 cm and 6 cm long. - MO-Z5-3-66 tiles
The picture shows square tiles with a side of 10 dm, composed of four identical small rectangles and squares. The circumference of a small square is five times smaller than the circumference of the entire tile. Determine the dimensions of the rectangle. - Probability — test
A test contains questions with four answer options, exactly one of which is correct. To pass the exam successfully, at least half of the questions must be answered correctly. How many questions should the test contain so that the probability of a student
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