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Number of problems found: 3355

Calculate 35971
The bus going from Prague to the sand runs for one hour and 30 minutes. It travels 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
All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a.
Kilometers 35401
We cycled 8 km, a third of the distance we traveled. How many kilometers do we have to travel?
Minutes 35371
The fly flies at a speed of 8km/h. How many minutes will it fly from one place to another, which is 1600m away?
Immediately 35341
The snail bought a turbulent and immediately exchanged it for an old one. Suddenly, it crawled 2,376 m/s. If the road was 1,188 m long, how long did it take to get home with the new shell?
Minutes 35311
Places A and B are 30 km apart. From A, Peter will ride a bike at a speed of 18km/h. Milan is also a bike from B but at 24km/h speed. How far apart will they be after 20 minutes?
Hydraulic 35301
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston?
Hydraulic 35291
The hydraulic press has pistons with a capacity of 20 cm² and 800 cm². How much force acts on the larger piston if we work on the smaller piston with a force of 100 N?
Simultaneously 35163
One vending machine closes 60 jars per minute, and the other 20 bottles close less simultaneously. If both machines are put into operation simultaneously, in how many minutes will they close 900 bottles?
A bus
A bus is scheduled to travel a distance of 121 km in 2 3/4 hours. What must the average rate of speed be maintained to arrive on schedule?
Calculate 35083
Draw an isosceles triangle ABC with a base 7 cm long and shoulders 5.5 cm long. Assemble all the heights, measure them, and calculate their sum.
Equilateral 35073
Draw an equilateral triangle ABC with a side of 8.5 cm. Assemble all the mines and measure them. What is the difference between the longest and the shortest of them?
Future value
Suppose you invested $1000 per quarter over 15 years. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earned?

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