# Algebra - problems - page 72

1. AS - sequence What are the first ten members of the sequence if a11=22, d=2.
2. Cylindrical tank Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
3. A mast A mast 32 meters high was broken by the wind so that its top touches the ground 16 meters from the pole. The still standing part of the mast, the broken part and the ground form a rectangular triangle. At what height was the mast broken?
4. Adam and Ben When Ben is so many years old to Adam today, Adam will be 23 years old. When Adam was as old as Ben, Ben was two years old. How old is today Ben and Adam?
5. Quadratic function 2 Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4)
6. Boys and girls There are 48 children in the sports club, boys are 10 more than girls. How many girls go to the club?
7. Digit sum Determine for how many integers greater than 900 and less than 1,001 has digit sum digit of the digit sum number 1.
8. LCD 2 The least common denominator of 2/5, 1/2, and 3/4
9. Rectangle Calculate area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width.
10. Cargo Car with cargo weight 7610 kg. Weight of car is 23% of the total weight of car and cargo. How heavy is cargo?
11. Unknown number 23 Find 2/3 of unknown number, which is two thirds of the 99.
12. Schools Three schools are attended by 678 pupils. To the first attend 21 students more and to the third 108 fewer students than to second school. How many students attend the schools?
13. Rectangular triangle PQR In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments of which longer is 25cm long. The second leg PR has a length 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 decimal
14. Money duo Julius and Mark have together 45 euros. Mark has 50% more money than Julius. Determine the amount of money that have Mark and Julius.
15. Time gone Square of Richard age equals the age of his mother. When he will bw two times older then his mom will be 7/2 times older than he. How old is Richard and his mom?
16. Diagonal of square Calculate the side of a square when its diagonal is 10 cm.
17. Call of Duty Game Call of Duty in CTF (Capture the Flag) opposes the British and the Germans, whose bases are 15 km apart. A German soldier stole the British flag and hid it with it in a secret place between the bases. If the British soldiers set out at a speed of 14.
18. Vegan shop To the shops brought together 23.2 kg of goods, fruits, vegetables and nuts. fruit was 4.7 kg more than vegetables, nuts was 1.5 kg less than the fruit. Determine the amount of fruits, vegetables and nuts.
19. Determine AP Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71
20. Belgium vs Italy Belgium played a match with Italy and Belgium win by 2 goals. The match fell a total 6 goals. Determine the number of goals scored by Belgium and by Italy.

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