Equation + direct relationship - math problems

Number of problems found: 68

  • Book reading
    Susan thought, "If I read 15 pages a day, I will read the whole book in 8 days. “How many pages would she have to read a day if she wanted to finish the book on the 6th day from the start of reading? And how many pages does the book have?
  • General line equations
    In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the line is given by the slope form: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) t
  • Reading
    If I read 15 pages a day, I will read the whole book in 18 days. How long will it take to read a book if I only read 9 pages every day?
  • Book reading
    Suzan reads a book. If she read half an hour a day, she would read it in nine days. How many minutes does he have to read a day if he wants to read it three days earlier?
  • Right triangle - ratio
    The lengths of the legs of the right triangle ABC are in ratio b = 2: 3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle.
  • Five tractors
    Five tractors plow the fields in 4.8 hours. How long will it take to plow the field when, after an hour and a half of work, two tractor drivers have been called up for another task?
  • The farmer
    The farmer calculated that the supply of fodder for his 20 cows was enough for 60 days. He decided to sell 2 cows and a third of the feed. How long will the feed for the rest of the peasant's herd last?
  • A bucket
    A bucket has 4 liters of water in it when it is 2/5 full. How much can it hold?
  • The orchard
    4 temporary workers harvested the orchard in 9 days. How many temporary workers we need for six days?
  • Trio ratio
    Hans, Alena, and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get?
  • Chocolate
    I have a box of chocolate - white, milk and dark. The ratio of white to milk with dark is 3: 4. The ratio of white and milk to dark is 17: 4. Calculate what is the ratio between white, milk, dark chocolate.
  • Find the
    Find the image A´ of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are real number)
  • Land area 2
    A land area was divided among the three heirs in the ratio 5:2:4. If the largest share was 20 hectares of land, what is the total area of land? Please show your solution and what kind of proportion is this please
  • Ratio of edges
    The dimensions of the cuboid are in a ratio 3: 1: 2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
  • Map scale
    The rectangular plot has a scale of 1: 10000 area 3 cm2 on the map. What content does this plot have on a 1:5000 scale map?
  • Orange colour
    In order for the painter to get orange, he has to mix yellow and red in a ratio of 3: 4. How many liters of orange did he mix if he used 8 liters of red?
  • Line segment
    Cut a line segment of 15 cm into two line segments so that their lengths are in ratio 2:1. What length will each have?
  • Isosceles trapezoid
    Calculate the content of an isosceles trapezoid whose bases are at ratio 5:3, the arm is 6cm long and it is 4cm high.
  • Photocopier
    A photocopier enlarges a picture in the ratio 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page?
  • Baker
    The baker makes from 10 kg of flour 12 kg dough. How much flour he need to make a 100 kg dough?

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