Algebra - math word problems - page 242 of 303
Number of problems found: 6056
- Balance
The rod is 4.3 m long, hanging weights 9 kg and 15 kg on ends. Where is the center of the rod (distance from weight 9 kg) to be in balance? - Grass Mixture
Peter plans to buy a grass mixture consisting of meadow grass and fescue seeds for 40 euros. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each component should he buy if the resulting mixture is to weigh 6 kg? - Missile 3
The missile penetrated the embankment to a depth of 1.2 m. What was its speed when it hit the surface of the embankment if the movement of the missile in the ground lasted 0.021 seconds and if the movement was uniformly slowed down? - Prepare
From two types of tea priced at 1500,-Sk and 2100,- Sk per kg, 29 kg of a mixture is to be prepared for 1650 per 1 kg. How many kilograms of each type of tea should be mixed? - Boiler room
If only the first boiler is running, the coal supply is enough for 8 days. If only the second boiler is running, the coal supply is enough for 12 days. If only the third boiler is in operation, the coal supply will last for 6 days. How many days in total - Above water surface
If we remove the stone from the water, we apply a force of 120N. How much force will we exert if we move the stone above the water? The stone's density is 5000 kg/m³. - Floating of wood - Archimedes law
Wooden balsa block has a density of 200 kg/m³ and a volume of 0.02 m³ floating in alcohol. Alcohol density is 789 kg/m³. What will be the volume of the floating part of a balsa block? - A stone
There is a stone weighing 60 kg on the billet. The distance from the support point to the stone is 20cm. The length of the billet is 1m. Determine the force exerted by the hand at the end of the billet. - Sisters
Sisters Hanka and Vera go mostly to their grandmother by bicycle. Journey took Hanka 30 minutes and Vera 20 minutes. How long will Vera catch up with Hanka when she starts from home five minutes later than Hanka? - Interpretation 83015
A cargo boat with a total weight of 4,500t sailed from the river to the sea. Calculate by how many tons it is possible to increase the weight of the cargo on the boat at sea so that the draft remains the same as in the river. The density of river water is - Acceleration 43881
I have specified that the vehicle has an acceleration of 2 m/s², and I need to find out how many meters it will travel if it reaches 64km/h and also states how long it takes for the vehicle to travel every one meter. - Overcoming 83076
A battering ram weighing 400 g falls from a height of 3 m. Upon impact, the stake hits a depth of 60 cm. What is the average force overcoming the soil resistance? - Resistance 82714
A load of 23.5 ohm is connected to an ideal voltage source of 30V, and a current of 1.2A passes through the circuit. Determine the magnitude of the source's internal resistance and the short-circuit current. - Temperature 81892
By how much °C will the temperature of an iron key weighing 0.004 t change if it receives 360,000 J of heat? ( c of iron is 450 J/kg.°C ) - Legislation 58863
To make a gold decorative item, we alloy 250g of 18-carat and 200g of 14-carat gold with tin. How much tin must be added to obtain 14.6-carat gold? Express the purity of the obtained gold in the sense of the applicable legislation. - Calculating 58401
Suppose the relation s = v applies to the calculation of the path s. t, express the relation for calculating speed v and the relation for calculating time t. Is it true that 10 km will travel at 90 km/h in 10 minutes? - Individual 21713
They bought 22 sets of crayons for the school group. Larger sets cost CZK 65, and smaller ones cost only CZK 50. They paid CZK 1,280 for all sets. How many individual types of crayon sets did they buy? - Neighboring 19293
Farmers had three harvesters at their disposal during the harvest, with which they would harvest the fields in 9 hours. How long will it take them if two more harvesters from the neighboring district come to help them? - Kilometers 8138
In three days, the students went 65 km on a trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 10 km less than on the first day. How many kilometers did they cover each day? - Three-eighths 7930
The bicycle race route rises for two-fifths of its length, descends for three-eighths, and is flat for the rest. If the length of the uphill section is 4 km longer than the length of the downhill section, how long is the race route? a) 160 km b) 100 km c)
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