# Algebra - math word problems

1. 2nd class variations From how many elements you can create 2450 variations of the second class?
2. Tangents To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle centre.
3. Logarithmic equation Solve equation: log33(3x + 21) = 0
4. Circle arc Circle segment has a circumference of 135.26 dm and 2096.58 dm2 area. Calculate the radius of the circle and size of central angle.
5. 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?
6. 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.
7. 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.
8. Number ratio Calculate two positive numbers that its ratio is 6:6 and difference was 0.
9. 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?
10. Shape Plane shape has a maximum area 677 mm2. Calculate its perimeter if perimeter is the smallest possible. 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?
12. Playground Rectangular playground is fenced with 38 m long netting. Its width is 7 m. Calculate its length.
13. Rectangle Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
14. 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. Wha
15. Salary Lawyer got to pay 840 Euros in banknotes of 20 and 50 Eur. Total got 18 banknotes. How many was which?
16. Square diagonal Calculate the length of the square diagonal if the perimeter is 476 cm.
17. Chickens and rabbits In the yard were chickens and rabbits. Together they had 14 heads and 44 legs. How many chickens and how many rabbits was in the yard? Solve quadratic equation: 2x2-58x+396=0 Find two numbers whose difference and ratio is 2. 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.