Equation + square - math problems

Number of problems found: 145

  • Two expressions
    When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y?
  • Squares
    From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square?
  • The width
    The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden?
  • Insert
    Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
  • Alexandra
    Alexandra made a rectangular quilt the measured 3 1/4. 2 3/4 feet in width. What is the area of the quilt in square feet? Write an equation to solve.
  • Louis
    Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?
  • Two gardens
    The flower garden has a square shape. The new garden has the shape of a rectangle, and one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original garden dimensions and the new garden if both gardens' area i
  • Consider
    Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge, in cm, and y is the volume of the prism, in cm3. Graph the function
  • Woman's day
    We can easily make a heart for mothers for Woman's day by drawing two semicircles to the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1?
  • Long hot dog
    In Kostelec above Black Forest, they made a record-long hot dog. When slowly moved it to the square, one of the spectators decided to measure its length: the size of his footprint is 28 cm; he measured 20 feet in travel direction, counted 5 feet against t
  • The sum
    The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
  • Annual growth
    The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
  • Decibel
    By what percentage does the sound intensity increase if the sound intensity level increases by 1 dB?
  • Find the 13
    Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3] and C[9, 4].
  • Derivative problem
    The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive and the product of one with the other power of the other is maximal.
  • Shell area cy
    The cylinder has a shell content of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder.
  • The cylinder
    The cylinder has a surface area of 300 square meters, while the cylinder's height is 12 m. Calculate the volume of this cylinder.
  • 1 page
    One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book?
  • Circle and square
    An ABCD square with a side length of 100 mm is given. Calculate the radius of the circle that passes through the vertices B, C and the center of the side AD.
  • The circumference
    The circumference and width of the rectangle are in a ratio of 5: 1. its area is 216cm2. What is its length?

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