Rearrange variables - math word problems - page 144 of 145

Number of problems found: 2899

Theater
Each row of the theater has 15 seats. The ticket to the first 7 rows is for 26 EUR. The next row is for 13 EUR. The theater was completely sold out. Revenue was 5850 EUR. How many rows are in the theater?
Sea water
Mixing 63 kg of seawater with 43 kg rainwater is created water containing 2.7% salt. How much percent of seawater contains salt?
IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
Sequence
In the arithmetic sequence, is a₁=-8, d=-3. Which member is equal to the number -155?
Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
Cone
The circular cone of height 14 cm and volume 4396 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut.
Cube in a sphere
The cube is inscribed in a sphere with a volume 8101 cm³. Determine the length of the edges of a cube.
Right Δ
A right triangle has one leg 54 cm in length and the hypotenuse 90 cm in size. Calculate the triangle's height.
Radius
Determine the circle's radius if its perimeter and area are the same numbers.
Square 2
Points D[10,-8] and B[1,-10] are opposed vertices of the square ABCD. Calculate the area of the square ABCD.
Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone.
Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
Square diagonal
Calculate the length of the diagonal of the square with side a = 11 cm.
The pipeline
How long is the pipe with an outside diameter of 1.4 m if his coloring consumed 35 kg of color? 1 kg of color coverage is 9 m².
Average
The arithmetic mean of the two numbers is -79.1. One number is -49. Calculate the second number.
Arc and segment
Calculate the length of circular arc l, the area of the circular arc S₁, and the area of circular segment S₂. The circle's radius is 88, and the corresponding angle is (4)/(7) π.
Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord?
Observatory
The observatory dome has the shape of a hemisphere with a diameter d = 10 m. Calculate the surface.
Angles
The triangle is one outer angle 82°6' and one internal angle 48°36'. Calculate the other interior angles of a triangle.
Tree trunk
Calculate the average tree trunk with a circumference of 192 cm.

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