Equation + reason - practice problems - page 36 of 37
Number of problems found: 735
- Sequence
In the arithmetic sequence, is a1=-8, d=-3. Which member is equal to the number -155?
- Elections
The elections attended a total of 4818 voters. First-day 39 men more than women, the second-day 21 women more than men. How many women attended elections?
- Troops
The route is long 175 km. On the first day, the first regiment went at an average speed of 14 km/h and back at 24 km/h. On the second day, the second regiment went on the same route at an average speed of 25 km/h there and back. Which regiment will take t
- 2x cone
Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone.
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
- Motion problem
From Levíc to Košíc, go car at speed 81 km/h. From Košíc to Levíc, go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
- Ravens
The tale of the Seven Ravens was seven brothers, each of whom was born exactly 4 years after the previous one when the eldest of the brothers was 4-times older than the youngest, mother all curse. How old were seven Ravens brothers when their mother curse
- Motion
If you go at speed 6.2 km/h, you come to the station 52 minutes after leaving the train. If you bike to the station at speed 23 km/h, you come to the station 51 minutes before its departure. How far is the train station?
- Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm?
- Motion
Cyclist started at 9:00 from point D to point E. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from E to D, started at 9:25. After 40 minutes, he met the first cyclist and the second cyclist after the next 8 m
- Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 99 cows graze meadow for 14 days and 95 cows by 22 days. How many cows graze the meadow for 77 days?
- Motion2
The cyclist started off town at 25 km/h. The car started after 1.9 hours behind him in the same direction. It caught up with him for 55 minutes. How fast and how long did the car run from the city to catch cyclists?
- Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 5a +5b = 7c
- Gear
Two gears fit into each other and have a transfer of 1:2. The centers of gears are spaced 96 cm. What are the radii of the gears?
- Pool
If water flows into the pool through two inlets, it will fill for 20 hours. If the first inlet fills the pool 8 hour longer than the second, how long does it take to fill with two inlets separately?
- Coin
How many 20-cent coins must be put in a row so that the next 20-cent coins after them (above) are rolled on its axis?
- Three numbers
Create from digits 1-9 three-digit numbers with their sum the smallest. What value is the sum of these numbers? (Use each digit only once)
- Tippler
Bottle with cork cost 8.8 Eur. The bottle is 0.8 euros more expensive than the cork. How much are a bottle and the cork?
- Book
The printer used 4201 digits to number the pages of the thick book. How many pages does this book have?
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