Themes, topics - math word problems - page 34 of 167
Number of problems found: 3330
- Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Circumscribing 80498
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - Grandmother's 80490
Little Red Riding Hood walked through the forest from her house to her grandmother's house. She walked at an average speed of 0.75 m/s. She left her house at 11:30 and reached her grandmother exactly at noon. How far from her house does her grandmother li - The electric motor
The electric motor winding's copper wire (alpha=4*10-3 1/K) has a resistance of 42 ohms at a temperature of 18 degrees. What is its resistance at an operating temperature of 50 degrees? - Nikelin and brass Calculate the length of brass wire (ró=0.08 microohm m) and nickel (ró=0.4 microohm m) with a diameter of 0.5 mm, which has a resistance of 1 ohm
- Resistivity 80483 The heating coil of the cooker has a resistance of 70.5 ohms and is made of a wire with a diameter of 0.30 mm and a length of 9.8 m. Determine the resistivity of the material from which it is made.
- Kilograms 80481
What is the weight of a sheet of glass 75 cm x 120 cm and 2 mm thick if one cubic meter of glass weighs 2500 kilograms? - Conductor 80474
A constant current of 80mA passes through the wire. What charge passes through the conductor in 1 h? - Resistance 80473
Determine the source voltage to which we must connect a 1k ohm resistance wire if a current of 40 mA is to flow through it. - Resistance 80472
A current of 0.2 A flows through a light bulb connected to a voltage of 6 V. What is the resistance of the red-hot filament? - Calculate 80467 Calculate the current I that would race through resistor R5 (720 ohms), resistor R2 (220 ohms), and an LED (U=2V) at a DC 6V source. The resistors are connected in series.
- Perpendicular 80464
A group of tourists split up at the intersection of two perpendicular paths. One group walked at a speed of 5.3 km/h. Second group 4.1km/h. How far were the two groups from each other after 1h 25min? - Kilometers 80463
The Malíkova family plans a 120 km cycling trip for 4 days. They want to cover a quarter of the entire route on the first day. The second day, 2/15, and the third day, 7/20, will cover the entire length of the trip. What part of the trip will they cover i - Representation 80447
On the school ski trip, the team set off from hut A at 9:30 a.m. to hut B at a speed of 2 m/s. Fifteen minutes later, the instructor followed them at a speed of 3 m/s. At what time and distance from cabin A will the instructor catch up with the team? Plea
- Average 80442
The daily need for fat for a person is 80g on average. Almonds contain 45% fat. How many grams of almonds would a person have to eat if he wanted to cover his daily need for fats by eating only almonds? - Contains 80440
Cow's milk contains an average of 3.6% fat. How many liters of milk are needed to make 250g of butter? Butter contains 82% fat. - Carbohydrates 80435
Bread contains an average of 52% carbohydrates, and apples have 12% carbohydrates. How many apples weighing 220g would you have to eat to get as much carbohydrate as 150g of bread? - To convert
To convert from a Celsius temperature to a Fahrenheit temperature, multiply the Celsius temperature by 9/5 and add 32. Which is the Fahrenheit temperature corresponding to - 30 degrees Celsius? - Square 80371
Draw a square EFIJ if EI is equal to 7cm.
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