Reason + expression of a variable from the formula - practice problems - page 6 of 7
Number of problems found: 125
- Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Numerically 4839
Calculate the diagonal of such a square, for which it holds that its area is equal to its perimeter (without considering units, numerically ...). - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Coefficients 4445
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1)
- 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. - 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. - 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. - Granddaughter 4237
Mrs. Helena has an old cell phone with nothing to do but makes phone calls. The cell phone will discharge in 72 hours when fully charged and on the phone. Three hours of calling in a row are enough to discharge a fully charged phone. After the last full c - Approximately 4222
The equator is approximately 40,000 km long. What would be the gap between an imaginary hoop 40001 km long and the ground? Would a mouse crawl under it?
- Equivalent 4205
They have their own money in the magical land, Fu, Ru, and Mu. Three Mu are equal to five Ru. Six Ru is equal to eighteen Fu. How many is Fu equivalent to one Mu? - Together 4204
Three bowls together have the same price as seven plates. Four bowls have the price of six cups. How many cups are as valuable as 28 plates? - Centimeters 4178
Find the surface of a block whose one wall is 48 centimeters square and the other wall is 30 centimeters square. - Apples 5
In six crates are 45 kg of apples. Five crates were the same amount, and in the sixth crate were 3 kg more apples. How many kilograms of apples were in each crate? - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
- Transferred 4040
The cowboy has 25 horses in two pens. He transferred 5 from the first to the second, then sold 7 horses from the second. How many horses were originally in the first pen? In the first enclosure, there were just 2 times more horses than in the second enclo - Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - Four swords
Obelix has three helmets, four swords, and five shields. How many words must you make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor? - Chairs
Determine the number of seats in the seventh and ninth rows if the 3rd row has 14 seats and every next row has five more than the previous row. - Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid.
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