Rearrange variables - math word problems - page 74 of 147
Number of problems found: 2922
- Mixture of nuts
Alice bought a mixture of nuts containing cashew nuts, hazelnuts, and peanuts in a ratio of 1:2:3. If the peanuts weigh 90 g, calculate the weight in grams of the whole mixture. - Coal cart calculation
The miner removed 135 carts of coal in 5 days so that the next day he removed three carts of coal more. How many carts did he drive on the first day? - The circumference
The circumference of the rectangle is 62 cm. A square whose side is as long as one side of a rectangle has a circumference of 56 cm. What is the area of each shape? - Block width calculation
The volume of the block is 72 liters, the height is 6dm, and the length is 4dm. What is the width of the block? - Reservoir height calculation
The block-shaped reservoir has 147 hl of water and is 3.5 m long and 2.8 m wide. Calculate its height. - What percentage
Petra made lemonade from one litre of 100% fruit juice and three litres of water. When she tasted it, she found it was too sweet and would not suit everyone. She kept two litres for her friends and added two more litres of water to the remaining two litre - Wall thickness
The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm³. - Bush planting ratio
The pupils of 7. A planted raspberry and currant bushes in the establishment of the school garden in the same ratio as the number of girls and boys in their class. How many raspberries and a round of currants did they plant when they planted 14 bushes tog - Tropics and polar zones
What percentage of the Earth's surface lies in the tropical, temperate, and polar zones? Tropics border individual zones at 23°27' and polar circles at 66°33'. - Czechoslovakia - area
Slovakia has an area 38% smaller than the Czech Republic. Original Czechoslovakia had an area of 128,000 square kilometers. What are the areas of both states? - Juice-soaked glass
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There are three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked porti - Parallelogram width calculation
How wide is the parallelogram-shaped garden when its area is 1378 m2, and its longer side measures 53 m? - Square perimeter calculation
The area of the floor plan is 5400 m². What will be the perimeter of the square floor plan? - Cube weight comparison
The cube weighs 32 kg. How much kg does a cube made of the same material, which has an edge four times shorter, weigh? - Block dimension ratio The block's dimensions are in the ratio 16:12:8, and the sum of these dimensions is 240 decimetres. What are the dimensions of the block?
- Tetrahedral pyramid 8
Let all the side edges of the tetrahedral pyramid ABCDV be equally long and its base let us be a rectangle. Find its volume if you know the deviations A=52° B=56° between the planes of adjacent sidewalls and the base plane. The height of the pyramid is h= - Steel ball radius
Twenty identical steel balls were dropped into a cylindrical container of water standing on a horizontal surface to submerge them below the surface. At the same time, the water level rose by 4 mm. Determine the radius of one sphere if the diameter of the - Pancake baking calculation
Mom baked pancakes and put them on a plate. After Mike had eaten three-sevenths of them, his brother Pete came and took three-quarters of the pancakes from the plate. In the end, Jane finished the remaining 7 pancakes. How many pancakes did mom bake? - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm. - Cuboid surface calculation
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm².
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