Arithmetic - math word problems

Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point so that they are in balance. Determine the angles of the each two forces.
Quadrant
In what quadrant is a -1165° angle?
Product
The product of two consecutive odd numbers is 8463. What are this numbers?
Big factorial
How many zeros end number 116! ?
Tower model
Tower height is 300 meters, weight 8000 tons. How high is the model of the tower weight 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. The result is a three-digi
Decimal to fraction
$fractions_2$ Write decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures.
Stock
$frac$ Enterprise sold 7/12 of their products to foreign markets and 2/5 of the remainder sold at home. How many % of the products is still in stock?
Geometric sequence
In the geometric sequence is a₄ = 20 a₉ = -160. Calculate the first member a₁ and quotient q.
Farm
Agricultural cooperative (farm) produced 14144 liters of milk for 16 days. Which exceeded the plan by 1984 liters. How many liters of milk a day had planned to produce?
Euros
$fractal_1$ Michal, Peter, John and Lenka got together 2,400 euros. They share an amount in ratio 2:6:4:3. How many got each of them?
Trapezoid 15
Area of trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1 and height h is x+4
Rectangle pool
Determine dimensions of open pool with a square bottom with a capacity 32 m³ to have painted/bricked walls with least amount of material.
Chestnuts
Mary harvested 45 chestnuts. Christian harvested 56 chestnuts more. How many chestnuts gathered together?
3 goods
Ms. Beránková bought in the shop 3 goods. Total paid for the purchase was 248 CZK. The first thing was 112 CZK and second 101 CZK. How much was the third thing?
Fewer than 500 sheep,
There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five and sixth order, one sheep will remain. But they can stand in the seventh order. How many are sheep?
Complementary angles
Two angles are complementary. If one angle measures 10°, what is the measure of the second angle?
Two months
Mars has two months, Phobos and Deimos. Phobos orbits around Mars in 7 hours 39 minutes and Deimos in 30 h 14 min. How long will repeat the relative position of the three celestial bodies?
Percent
From 99 children who participated in the ski course were 23 excellent skiers, 13 good and 20 average and the rest were beginners. Calculate this data in percentages.
Power
Number ?. Find the value of x.
Cakes
On the table was 56 cakes. When Peter went home, leaving them eight times less. How many cakes left?

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