Segments

Line segments 62 cm and 2.2 dm long we divide into equal parts which lengths in centimeters is expressed integer.

How many ways can we divide?

Correct answer:

n =  2

Step-by-step explanation:

$$\begin{gathered} A=div62=\{1,2,31,62\} \\ B=div10\cdot 2.2=div22=\{1,2,11,22\} \\ n=\mathrm{\mid }A\cap B\mathrm{\mid }=\mathrm{\mid }\{1,2\}\mathrm{\mid }=2 \end{gathered}$$

Try another example

Showing 1 comment:

Math student

WHY IS YOUR MATH PROBLEMS  ARE SO HARD  TO SOLVE

2 years ago  Like

Related math problems and questions:

• Dividing
  Divide the three-line segment 13 cm, 26 cm, and 19.5 cm long for parts so that the individual pieces were equally long and longest. How long will the individual parts, and how many will it?
• Groups
  In the 6th class there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group?
• Pegs
  From two sticks 240 cm and 210 cm long, it is necessary to cut the longest possible pegs for flowers so that no residues remain. How many pegs will it be?
• 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?
• Identical cubes
  From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm?
• Paper squares
  The paper rectangle measuring 69 cm and 46 cm should be cut into as many squares as possible. Calculate the lengths of squares and their number.
• Pexeso
  Drawing paper has dimensions of 60cm and 840mm. Pupils have to divide it into squares so that they can make a pexeso. What dimension must squares have if their side is to be larger than 3cm and less than 10cm?
• Bundle of candies
  In the store has 168 chocolates, caramel candies 224 and 196 hard candies. How many packages we can do and how many of candies will be in each package?
• Length of a string
  What is the smallest length of a string that we can cut into 18 equal parts and even 27 equal parts (in decimeters)?
• Diofant equation
  In the set of integers (Z) solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
• Blades
  1st blade 2,5 m, 2nd blade. .1.75 m. How many same long pieces of this two blades can be do the biggest? How long is one piece?
• Plumber
  The plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it?
• Seedcake
  Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros?
• Sports students
  There are 120 athletes, 48 volleyball players, and 72 handball players at the school with extended sports training. Is it possible to divide sports students into groups so that the number in each group is the same and expressed by the largest possible num
• Divide in ratio
  Line segment AB 12 cm long divide in a ratio of 5: 3. How long are the individual parts?
• A rope
  A rope can be cut into equal length with no rope left over. The lengths can be 15cm,18cm or 25cm. What is the shortest possible length of the rope?
• Gcd and lcm
  Calculate the greatest common divisor and the least common multiple of numbers. a) 16 and 18 b) 24 and 22 c) 45 and 60 d) 36 and 30