Grade - math word problems - page 118 of 944
Number of problems found: 18874
- Standard
What will be the speed of a two-pole synchronous motor connected to a standard network with a frequency of 50Hz? In revolutions per minute.
- Crowbar - lever
How much force must we apply to the end of a 2.4 m long crowbar to lift a door weighing 220 kg, if it stands on the crowbar 35 cm from its end, which is resting on the ground?
- Rectangle - perimeter, side
From the formula for calculating the perimeter of a rectangle, express the length of side b and find its size for o = 28 cm, a = 7.5 cm.
- Fifths 83882
What is two-fifths of 175?
- Weighing 83881
From what height did a body weighing 9.8 kg fall if it hit the surface at a speed of 100 km/h?
- Frames
A framer is to prepare 23 picture frames. The frame will have dimensions of 30 cm and 42 cm. The strips from which he will make the frames are 3 meters long. a) How many frames will he make from one strip? b) How many strips will he need?
- In the parking lot 2
There were 12 cars in the parking lot - 5 green, 4 blue, and 3 red. What is the probability that the last car left in the parking lot is blue or green?
- Minutes 83870
How many minutes is five-sixths of half an hour?
- Multiple 83863
The least common multiple of 2190 and b is 13140. What is b?
- Motor efficiency
Calculate the power input of a motor operating at an efficiency of 58% that will lift an elevator car (weighing 390 kg) with twenty boxes (each 25 kg) to a height of 85 m in 29 seconds.
- Acceleration - gravity
What is the gravitational constant (acceleration) if a body with a mass of 5.8 kg fell from 68 meters and hit the ground at a speed of 60 km/h?
- Two-kilogram bread
Farmers harvested 3000 kg of rye from one hectare, from which they obtained 2500 kg of flour. 3 kg of flour will make 4 kg of bread. Calculate how many m² of land were used to grow rye, which is needed for 1 two-kilogram loaf of bread.
- Borrowed
Mr. Douda borrowed 200,000 SK from the bank at an annual interest rate of 15.4%. He will repay the loan after four years. How many korunas will he have to repay?
- Emptying a tank
A water tank is emptied by one pump in 12 hours, by the second in 9 hours, and by the third in 4 hours. How many hours will it take to empty if all 3 pumps are turned on?
- Withholding 83850
An employee receives a net salary of 5000 after a 15% withholding tax. What was the gross salary?
- Increased 83849
Starka's pension of €345 was increased by 9%. What will her pension be after the increase?
- Prepare
From two types of tea priced at 1500,-Sk and 2100,- Sk per kg, 29 kg of a mixture is to be prepared for 1650 per 1 kg. How many kilograms of each type of tea should be mixed?
- Chord 24
A chord with length t = r times the square root of two divides a circle with radius r into two circular segments. What is the ratio of the areas of these segments?
- Insulating a house
Five workers are working on insulating a house at such a pace that they could finish the job in 18 days. After three days of work, two workers were called away to another construction site. In how many days will the remaining workers finish the job?
- It consumes
A textile machine uses 7/8 meters of fabric to sew shorts. He uses 3/5 meters more fabric to sew a T-shirt. Find out whether 30 meters of fabric will be enough to sew a set of 12 jerseys if one jersey consists of one T-shirt and one pair of shorts.
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