Themes, topics - math word problems - page 55 of 167
Number of problems found: 3330
- The castle
The map shows the castle moat by a line 2 cm long. The moat is 500 meters long. Find the scale of the map.
- Technical 55751
The technical drawing shows the product on a 5:2 scale. Determine the length of the product if it measures 12 cm in the picture.
- 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?
- Directly 55591
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
- Indirectly: 55581
Prove indirectly: No odd natural number is divisible by four.
- Contradiction 55571
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.
- Different 55491
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 55481
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.
- Construction 55311
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.
- Calculate 55233
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
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