A rectangular parallelepiped with dimensions \( 5 \times 3 \times 7 \) weighs 210 g. How many kg would a parallelepiped of the same density with dimensions \( 11 \times 9 \times 2 \) weigh?
Solve for x:
\( 11x + 3(4x + 5) = 11(2x + 7) \)
Solve the expression:
In the given figure, how many triangles and how many rectangles are there?
The King has a task for his subjects. The Starks can do it in 6 days, the Lannisters in 10 days, and the Baratheons in 15 days. If they work together, how many days will it take?
Each cell of a \( 4 \times 3 \) grid is colored either black or white. In how many ways can the grid be colored?
There are 5 points on one parallel line and 4 points on another. How many triangles can be formed using these points as vertices?
How many different "words" (meaningful or not) can be formed by rearranging the letters of the word ХАЙРХАН?
Find the sum: \( (-1)^1 + (-1)^2 + (-1)^3 + \dots + (-1)^{2025} + (-1)^{2026} \)
Solve \( (1.25 \cdot 0.4 + 18.54 : 1.8) : (0.43 + 17.57) \)
12 friends exchanged photos with each other. How many photos were exchanged in total?
Find the total surface area and volume of a rectangular parallelepiped (a box) with a length, width, and height of 3 cm, 4 cm, and 5 cm.
Find the ratio of the area of the shaded triangle to the area of the rectangle.