Themes, topics - math word problems - page 56 of 168
Number of problems found: 3360
- Ideal gas law
Assuming compression is according to the law pV = constant. Calculate the initial volume of gas at a pressure of 2 bar, which will occupy a volume of 6 cubic meters when compressed to a pressure of 42 bar. - The projectile
The projectile leaves the 10 m long barrel at an instantaneous speed of 500 m/s. What is the acceleration of the projectile's movement in the barrel, and at what time will the projectile pass the barrel if we assume that It evenly accelerated the motion? - Division residue proof
If n is a natural number that gives a division of 2 or 3 when divided by 5, then n gives a residue of 4 when divided by 5. Prove directly - Divisibility indirect proof
Prove indirectly: No odd natural number is divisible by four. - Truth table tautology
Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction. - The car
The car consumes 5 liters per 100 km and has 24 liters of gasoline in the tank. How much petrol remains in the tank after it rides for two and a half hours at a speed of 80 km/h? - Wall builders
If 12 men can build a wall 398 meters long in 48 days, how long would it take 33 men to build a wall 347 meters long? Answer to 3 decimal places. - Letter equality puzzle
Add the same numbers after the same letters and different numbers after the other letters so that equality applies: KRAVA + KRAVA = MLIEKO, where K is an odd digit. - Four-digit number puzzle
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - Central Park
Central Park is a rectangular park in New York City, and the map scale is 1 cm: 320 m (It means 1 cm on the map represents 320 m in the real world. ). Find the north-south distance if the length on the map is 2.5 cm. - Serial resistors
In the circuit shown ( two resistors, R1 and R2, serially connected), the total resistance from A to B is 16 ohms. If the voltage between A and B is 10 V, find the resistance R2 and the current through the R1 = 12-ohm resistor. - Triangle construction procedure
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure. - Fluid pressure force
Calculate the pressure in the fluid: force F = 2,400 N The area on which the force S = 8 m² acts p =? - The isosceles
The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and area of the trapezoid? - A giraffe
A giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds? - 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? - Phone number
Ivan's phone number ends with a four-digit number: When we subtract the first from the fourth digit of this four-digit number, we get the same number as when we subtract the second from the third digit. If we write the four-digit number from the back and - Ice to boiling water
Calculate the heat needed to convert 5kg of ice at a temperature of -5°C to water with a temperature of 100°C. c (water) = 4200 J/°C/kg, c (ice) = 2100 J/°C/kg. The mass group heat of solidification of water is l = 334 kJ/kg. Calculate the heat that 1k g - Company order fulfillment
Two engineering companies have the same production program. The first company would fulfill their orders in 20 days. The second company in 16 days. How long will the companies fulfill the order if the first company starts working 2 days earlier? - The temperature 14
The temperature is 12°C lower than 4 hours ago. a. What is the average temperature change per hour? b. Write an integer equation for the situation.
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