Algebra - problems - page 71

  1. AS - sequence
    matematika_icon What are the first ten members of the sequence if a11=22, d=2.
  2. Holidays - on pool
    pool_4 Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
  3. Arithmetic progression
    postupnost1_4 In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ?
  4. Price increase
    sleva A 20 percent price increase meant a 90-crown raise. How many cost a product after?
  5. Working together on project
    work_10 Two employees working on the project. First make it alone for 20 days the second for 24 days. How many days will take to complete project if 5 days they work together then first will take two days holiday and after returning they completes a project toget
  6. Forest nursery
    stromcek_2 In the forest nursery after winter, they found that 1/10 stems died out of them. For them, they land 193 new spruces. How many spruces are in the forest nursery?
  7. A mast
    stoziar_1 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?
  8. Cylindrical tank
    valec_7 Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
  9. Regular n-gon
    10gon_polygon In a regular n-angle polygon the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
  10. Rectangle
    squares2_3 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.
  11. Quadratic function 2
    parabola1 Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4)
  12. Cargo
    tractor_lorry Car with cargo weight 7610 kg. Weight of car is 23% of the total weight of car and cargo. How heavy is cargo?
  13. Boys and girls
    childern There are 48 children in the sports club, boys are 10 more than girls. How many girls go to the club?
  14. LCD 2
    zlomky_6 The least common denominator of 2/5, 1/2, and 3/4
  15. Adam and Ben
    venn_diagram_3_2 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?
  16. Cube 1-2-3
    cube_shield_1 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
  17. Schools
    bulb2_2 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?
  18. Money duo
    money_18 Julius and Mark have together 45 euros. Mark has 50% more money than Julius. Determine the amount of money that have Mark and Julius.
  19. Unknown number 23
    cisla_4 Find 2/3 of unknown number, which is two thirds of the 99.
  20. Rectangular triangle PQR
    solving-right-triangles 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

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