Basic functions - problems
One brick is 2 kg and half a brick heavy. What is the weight of one brick?
- Motion problem
From Bratislavy to Martina go car at speed 83 km/h. From Martina to Bratislavy go another car at speed 62 km/h. How many minutes before the meeting will be cars 21 km away?
- Slope of track
Calculate the average slope of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL), if the track is 158 km long.
If one side of the rectangle is larger 3-times and second 4-times, what percentage increases the area of rectangle?
John paid 1000 Euros in store for purchase. Calculate value added tax (VAT), which paid in purchase, if the VAT rate is 20%.
- Rectangle - sides ratio
Calculate area of rectangle whose sides are in ratio 1:7 and perimeter is 735.
6 numbers are in the ratio 3:3:4:4:5:5. Their sum is 264. What are the numbers?
What is the probability that a random word composed of chars T, I, O, D, I will be IDIOT?
In the arithmetic sequence is a1=-9, d=4. Which member is equal to the number 147?
- Built-up area
John build up area 4.3 x 8 = 34.4 m2 with building with a wall thickness 50 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 8%?
Lentilka made 31 pancakes. 8 don't fill with anything, 14 pancakes filled with strawberry jam, 16 filled with cream cheese. a) How many Lentilka did strawberry-cream cheese pancakes? Maksik ate 4 of strawberry-cream cheese and all pure strawberry pancake
If you know that cos(α) = sin (-968°), what is the angle α?
Five bus lines runs at intervals 3, 5, 10, 11, 13 minutes. In the morning, suddenly start at 7:00. After how many minutes the bus lines meet again?
- Metallurgical enterprise
Metallurgical company daily produces 873 tons of cast iron. How many tons of coke it burns to melt cast iron when 17 tons of cast consumes 13 tons of coke?
Potatoes contain 78.4% starch. How many potatoes need to obtain 93.7 kg of starch?
- Descent of road
Road sign informs the gradient is 10.5%. Calculate the angle which average decreases.
Event J has probability of 0.17. What is the probability that the event J occurs in:
How many different ways can sit 5 boys and 5 girls in line, if girls want to sit on the edge?
One half of rope use Mam for packaging, half of the rest got son, half of the rest he took father and two fifths of what remained, got daughter. Remained 52 cm of rope. How long was rope at the beginning?
- Tea blend
Tea blends are maked from two kinds of tea. In standard tea mixture are two teas in the ratio 1:3 and 40 g costs 42 CZK. In the premium tea mixture are weighing two teas in the ratio 1:1 and 50 grams costs 60 CZK. How much cost 10 grams of more expensive k