Isolating a variable in the formula - math word problems - page 35 of 47
Number of problems found: 939
- Identical 6406
The area of 90000 m² is divided into 36 identical squares. Find the length of the side of one square (in meters).
- Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm.
- Consecutive 6402
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers.
- Workers
Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send?
- Determine 6376
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter.
- The rainwater
The rainwater container has the shape of a block whose bottom has dimensions of 4.5 m and 3.5 m. It is partially filled with water. What is the level if there is 189 hl of water in it?
- Vegetable stew
The recipe for vegetable stew is recommended to mix tomatoes, peppers, and onions in a ratio of 4:3:1. The cook has already prepared both onions and peppers. In contrast, the onions were five kilograms less than the peppers. How many kilograms of tomatoes
- Part-timers 6344
Certain work was to be done by 21 workers during an eight-hour workday, due in 12 days. After five days, temporary workers came to their aid. They all worked together for 7 hours a day and finished the job in 6 days. How many part-timers were there?
- Block-shaped 6328
There are 20,000 liters of water in a block-shaped tank with 5 m and 4 m bottom dimensions. What is the water level?
- Oranges
The mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there?
- Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
- Thunderstorm
The height of the pole before the storm is 10 m. After a storm, when they check it, they see that the ground from the pole blows part of the column. The distance from the pole is 3 meters. At how high was the pole broken? (In fact, the pole created a rect
- A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm?
- Cylinder-shaped 6293
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle?
- Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area.
- Rectangular 6255
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle.
- Three pumps
The water tank is emptied with the first pump in 6 hours and with the second pump in 2 hours. All three pumps had to be started at once to be emptied in 1 hour. How long will it take to empty the tank with only the third pump?
- Calculate 6240
The ratio of the two natural numbers is 2:3. The smaller number in this pair is 12. Calculate the larger A number from this pair.
- Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes, there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma
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