Basic operations and concepts - math word problems - page 297 of 324
Number of problems found: 6465
- Number power square
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10, and 5 euro banknotes. Use a method other than listing all options systematically. - Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x). - Class weight average
There were 31 students in the class, and the arithmetic average weight was 43 kg. Calculate the average weight in the class if a student weighing 91 kg has been added to the class. - Tractor 19
A tractor ploughs a field in 48 hours using a plough with 5 blades. How long will it take to plough the same field using a plough with 6 blades of the same width, maintaining the same tractor speed? - Two alloys
Two alloys, Y and Z, are each made up of zinc, tin, and copper. In alloy Y, the ratio of zinc to tin is 2:5, and the ratio of copper to tin is 4:3. Find the ratio of copper:zinc:tin in alloy Y. - Housing loan interest
How big would the Novak family take out a housing loan if they paid an interest of 5500 euros after the first year and the interest rate of this loan was 5.5% p. and.? - Acid mixture
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid? - Alcohol solutions We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of these will we use in the solution?
- Worker production
Eight workers produce 2048 products per shift. In how many hours would ten workers produce the same amount of products? (shift is 8 hours) - Map scale determination
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm. - Triangle area ratio
In triangle ABC, point P lies closer to point A in the third of line AB, point R is closer to point P in the third of line P, and point Q lies on line BC, so the angles P CB and RQB are identical. Determine the ratio of the area of the triangles ABC and P - Hydrogen air weight
One liter of air weighs 1,299 g, and one liter of hydrogen 0.089 8 g. How many times is hydrogen lighter? Round the result to units. - Chocolate bar
Shen's chocolate bar is 54% cocoa. If the weight of the chocolate bar is 54 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth. - Sphere fall
How much percent fall volume of a sphere if the diameter decreases 3×? - KOH How many g of 20% KOH solution do we need to mix with 500 g of 30% KOH solution to obtain a 25% KOH solution?
- Pit soil volume
The lime pit has the shape of a quadrilateral prism with dimensions of 2 m, 1.8 m, and 1.5 m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit. - 3N on the number axis
The line represents the number axis, and the marked points correspond to the numbers a, - a, and a + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities. - Triangle Geometry Proof
On side AB of triangle ABC, points D and E are given such that |AD| = |DE| = |EB|. Points A and B are the midpoints of segments CF and CG. Line CD intersects line FB at point I, and line CE intersects line AG at point J. Prove that the intersection of lin
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