# New math problems - page 8

- Coefficient

Determine the coefficient of this sequence: 7.2; 2.4; 0.8 - Sales off

shoes cost x euros. First they are discounted by 50%, and then 25% of the new amount. Determine what percentage of the total cost is cheaper. - Cablecar

Funicular on Petrin (Prague) was 408 meters long and overcomes the difference 106 meters in altitude. Calculate the angle of climb. - Linear system

Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720 - Difference of two number

The difference of two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers. - Tetrahedral prism - rhomboid base

Calculate the area and volume tetrahedral prism that has base rhomboid shape and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - Volume and area

What is the volume of a cube which has area of 361 cm^{2}? - Three friends

Danica, Lenka and Dalibor have altogether 96 kg. Lenka weighs 75% more than Dalibor and Danica weighs 6 kg more than Dalibor. Determine the weight of Danice, Lenka and Dalibor. - Diagonals

A diagonal of a rhombus is 20 cm long. If it's one side is 26 cm find the length of the other diagonal. - Mean

A student food the mean of 50 items as 38.6. When checking the work he found that he had taken one item as 50 why it should correctly read as 40 in this circumstances. What should be the correct mean? - Rectangle

Calculate area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width. - Cargo

Car with cargo weight 7610 kg. Weight of car is 23% of the total weight of car and cargo. How heavy is cargo? - Q of GP

Calculate quotient of geometric progression if a1=5 a a1+a2=12. - Prism bases

Volume perpendicular quadrilateral prism is 360 cm^{3.}The edges of the base and height of the prism are in the ratio 5:4:2 Determine the area of the base and walls of the prism. - Two rulers

We have two rulers. Scale interval on first rulers are a spaced 1 cm and on second spaced 15 mm. Rulers are attached to each other so that they match initial divider commas. What next dividers commas coincide? Find at least three cases. - Money

Peter has 2x more money than Michael. But if Peter gave Michael € 16 Michael would have 3.5 times more money than Peter. Determine how much money was originally Peter and how much Michael. - Walnuts

x walnuts were in the mission. Dano took 1/4 of nuts Michael took 1/8 from the rest and John took 34 nuts. It stayed here 29 nuts. Determine the original number of nuts. - Average speed

Michal went out of the house by car at speed 98 km/h. He came into the goal place for 270 minutes. Determine the distance between the two places. - Equation with abs

Solve this equation with absolute value member: ? - The rectangle

Determine the area of the rectangle where the length and width are in the ratio 5:2 and its length is 7.5 cm longer than its width. Determine also its length and its width.

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