Algebra - math word problems
- Garden
Trapezoid garden has parallel sides 19 m and 24 m. Its area is 193.5 square meters. What is the width of the garden? - Floating barrel
Barrel (cylinder shape) floats on water, top of barrel is 8 dm above water and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel. - Two doctors
Doctor A will determine the correct diagnosis with a probability 93% and doctor B with a probability 79%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors. - Number ratio
Calculate two positive numbers that its ratio is 6:6 and difference was 0. - Shape
Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible. - Angles in triangle
The triangle is ratio of the angles β:γ = 6:8. Angle α is 40° greater than β. What are the size of angles of the triangle? - Ladislav in Amsterdam
Ladislav was reward and went to conference in Amsterdam. Conferense fee was € 3484. Calculate how many books Ladislav could buy at the price of 48 and 52 euros if he don't want fill whole home library and he can buy only 70 books? - Playground
Rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length. - Computer revolution
When we started playing with computers, the first processor, which I remember was the Intel 8080 from 1974, with the performance of 0.5 MIPS. Calculate how much percent a year rose CPU performance when Intel 486DX from 1992 has 54 MIPS. What - Salary
Lawyer got to pay 840 Euros in banknotes of 20 and 50 Eur. Total got 18 banknotes. How many was which? - Rectangle
Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle? - Square diagonal
Calculate the length of the square diagonal if the perimeter is 476 cm. - Chickens and rabbits
In the yard were chickens and rabbits. Together they had 28 heads and 78 legs. How many chickens and how many rabbits was in the yard? - Quadratic equation
Solve quadratic equation: 2x2-58x+396=0 - Two numbers
Find two numbers whose difference and ratio is 2. - Triangles
Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle. - Trapezoid
Calculate area of trapezoid ABCD with sides |AD|= 68 cm, |DC|=35 cm, |CB|=12 cm, |AB|=35 cm.. - Ratio
6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers? - Acid
The barrel is 199 litres of 38% acid. How many percent acid occurs when 61 litres revoke and replace it with the same amount of water? - Ships
At 8:40 the ship set sail at 12 km/h. At 19:10 followed by at 29 km/h sail boat. When sail boat catches up the ship? How many minutes will catch up took?
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