Themes, topics - math word problems - page 73 of 174

Number of problems found: 3474

Crane work
The crane lifted a concrete block weighing 3 tons to a height of 500 cm. What work did it do?
Shepherd
Kuba makes a deal with a shepherd to take care of his sheep. Shepherd said to Kuba that he would receive twenty gold coins and one sheep after a year of service. But Kuba resigned just after the seventh month of service. But the shepherd rewarded him and
The car
The car travels at a speed of 70 km/h. What distance will it travel in 2 hours?
Resident distance speed
Two of its inhabitants stand at one point in the land of two-dimensional beings. Suddenly, they both start running at the same moment. Resident A runs north at 5 m/s, and resident B runs east at 12 m/s. Calculate how fast they are moving away from each ot
Truck kinetic energy
A truck has a mass of 4.5 tonnes and is moving at a constant speed of 72 km/h. What is its kinetic energy?
Work time
The carpenter did the work in 3 2/5 hours. What part of the work did he do in an hour?
Sequence decreasing proof
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing.
Hydraulic - piston
The large piston of the hydraulic system has a capacity of 0.25 m² and a small 10 cm². How much force do we exert on the small piston to be lifted by 750 N?
Hydraulic blade force
The hydraulic blade has pistons with an area of 10 cm² and 500 cm². How much force acts on the larger piston if we act on the smaller piston with a force of 100 N?
Hydraulic jack
The small piston of the hydraulic jack has a capacity of 40 cm² and a large 120 cm². How heavy will a body lift when a man weighing 70 kg stands on a small piston?
Electric cooker
During which time does an electric cooker with power input P = 500 W and efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10 °C to the boiling point (t2 = 100 °C)? The specific heat capacity of water is c = 4 180 J/kg/K.
Number zero puzzle
I think of a number. When it is substituted into the expression (x − 4)(2x − 1), the result is zero. What could the number be?
Bus average speed
A bus travels from Prague to a destination, taking 1 hour and 30 minutes and covering 105 km. Calculate the average speed of the bus.
Triangle - sines
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC
Weighted harmonic average
Ten workers will do some work in 2 minutes, five in 10 minutes, and three in 6 minutes. How many minutes per average worker per worker?
Scale factor 2
Nadeem has a 10-inch by 10-inch photo album. He wants to make a large copy of the original photo to fit the album. What are the largest dimensions of the copy if he keeps the proportion of the original photo? Explain your answer. The original photo is 5 i
Deposit account
How much money will be in the account after ten years if you deposit $4500 at a quarterly 5% annual interest compound?
Semiannually compound interest
If you deposit $ 5,000 into an account paying 8.25% annual interest compounded semiannually, how long until there is $9350 in the account?
Compound Interest
If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long will it take for the account to have $12600?
Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int

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