Algebra - math word problems - page 257 of 292
Number of problems found: 5833
- Coils of transformer
The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and number of turns if the transformation ratio k = 0.1.
- Aircraft
The aircraft has a fuel tank 68 hl of aviation fuel, and flight consumes 3.6 liters of fuel. Identify the function that expresses the dependence of the fuel volume in the tank on the track distance plane flew by. How many hectoliters of fuel is still in t
- Three-digit 5524
Six cards with digits 1, 2, 3, 4, 5, and 6 are on the table. Agnes made a six-digit number from these cards, divisible by six. Then she gradually removed the cards from the right. A five-digit number divisible by five remained on the table when she remove
- Regular 3241
The tourist started with a regular step on the road at a speed of 80 steps per minute. After going through 100 steps, his son came to see him and wanted to catch up with him. The son took regular steps as long as his father and moved at 120 steps per minu
- Profitable bank deposit 2012
Calculate the value of what money is lost to the creditor with a deposit € 11200 for 4 years if the entire duration is interesting 2% p.a. and tax on interest is 19%. Annual inflation is 3.7% (Calculate what you will lose if you leave money lying idle at
- Calculate 2482
The train left Košice at 2:45 PM to Poprad, 120 km away. At 5:45 PM, we met in Poprad with an oncoming train from Žilina, 140 km from Poprad. Calculate what time the train left Žilina if you know that it was 8 km/h faster than the train from Košice.
- Car consumption
When driving in the city, the car has an average consumption of k liters of gasoline per 100 km, but when driving on the highway, it consumes an average of 20% liters less. Express the consumption of a car if it travels 25 km in the city and 75 km on the
- Wardrobe code
Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there?
- Sufficient 9391
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we
- Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long
- Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself?
- Electrics - conductor
The wire is 107 meters long at 0 °C, and at every temperature increase of 1 °C, the length increases by 0.15 mm per 1 m length of wire. Determine a function that represents the wire's overall length as a temperature function. What is the length of the wir
- Average
The arithmetic mean of the two numbers is -79.1. One number is -49. Calculate the second number.
- Improvements 70344
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task?
- Traveling 5687
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going?
- Determine 5592
Karel took out a loan of EUR 600 from Ivan 20.2 at a 20% annual rate. From January 10.5, a loan of 1100 Euros at a 14% rate. From Milan 15.9, a loan of 900 Euros at an 11% rate. All three return 30.12. Determine the annual interest rate for all three loan
- Kilometers 4391
The car moved out of place at a speed of 60 km/h in 1.5 hours. The second car moved at a speed of 80 km/h. How long will it take to catch the first car, and how many kilometers will it drive?
- Two trains meet
From A started at 7:15, the express train at a speed of 85 km/h to B. From B, the passenger train started at 8:30 in the direction of A and at a speed of 55 km/h. The distance A and B are 386 1/4 km. At what time and distance do the two trains meet from B
- Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in a ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the 1:1 and 50 grams ratio costs 60 CZK. How much cost 10 grams of a more expens
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