Isolating a variable in the formula - math word problems - last page

Number of problems found: 874

Ethnicity
The share of ethnicity XY is 26%, which is 1/9 more than in the prewar period. What was the share of that ethnicity in the prewar period?
Fire tank
The whole fire tank was discharged once in 4 days, first out by a second in $n day. Once firefighters pumped out 4/16 of water from the tank, they let the water flow out both drains. How long does it take to empty the tank?
Ice cream in cone
The ice cream cone with a diameter of 4.8 cm is 0.5 dl of ice cream. Calculate the depth of the cone.
Spherical segment
The spherical segment with height h=2 has a volume of V=112. Calculate the radius of the sphere which is cut in this segment.

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?
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.
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 75 cm in length and the hypotenuse 85 cm in size. Calculate the triangle's height.

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.
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?
Heron backlaw
Calculate the unknown side in a triangle with sides 24 and 40 and area 299.6.
Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population?
Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.

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