# Algebra - problems - page 53

1. Triangle ABC v2
Area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
2. Bricks II
3/4 bricks weighs 6 kg and 2/3 bricks. How weighs one whole brick?
3. Janka and Danka
Janka and Danka began to read the same day the books. Janka had 276 pages, Danka 204 pages. They agreed that both read every day the same number of pages until theirs books read. A) How many maximum pages they had to read the day to honor their agreement?
4. Apples 2
How many minimum apples are in the cart, if possible is completely divided into packages of 6, 14 and 21 apples?
5. Competition
The organizers of competion wanted to spent big amount of money to pay for the competitors. One third of this amount spent on prizes and the remaining € 5,000 to diplomas. How much was committed for rewards?
6. Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
7. Chebyshev formula
To estimate the number of primes less than x is used Chebyshev formula: ? Estimate the number of primes less than 30300537.
8. Two masons
Two masons built the garage together - it took 18 days. If they worked independently, the other would work 15 days more than the first. For how many days would build the garage each mason himhelp?
9. Bricklayers
8 bricklayers build a house for 630 days. How many bricklayers have to add after 150 days, so then the whole building completed in (next) 320 days?
10. Apples 3
Julka has 5 apples more than Hugo and four apples less than Annie. Hugo has 17 apples. How many apples has Julka and how Annie?
11. Testing
Students of high school have 10 points for each good solved task. The wrong answer is deducted by 5 points. After solving 20 tasks, student Michael had 80 points. How many tasks did he solve correctly and how many wrong?
12. Pages of book
Lenka calculated that if every day to read 16 pages of the book, read a book a day earlier than had read only 14 pages a day. How many pages has this book?
13. Simple equation 2
Find X in this simple equation: X/9 = 96/108
14. Sebastian
From Kovalov Sebastian walks at 6 km / h started at 8:00 in the direction of Kuty. From Kuty, the godfather is driving at 50 km/h and started at 8:30. The distance is 24 km. When and where grandfather will take Sebastian to the car.
15. 3 buses
At morning 5:00 am three buses started from one place. The first travel in five-minute intervals, the second at 10-minute intervals and the third at 25-minute intervals. At what hour will again be the three buses coming from the same place?
16. Tonic
One package tonic consume Mom 12 weeks and daughter for 14 weeks. 4 weeks they use the same cream together and then only daughter. How many weeks endured tonic to daughter then?