System of equations - high school - practice problems - page 44 of 45
Number of problems found: 885
- Triangle ABC
Calculate the sides of triangle ABC with area 1404 cm², and if a: b: c = 12:7:18 - Null points
Calculate the roots of the equation: 3 |x +4| +3 |x +5| +2 |x +4| = 30 - Team
The football team has 11 players. Their average age is 20 years. During the match, one player withdraws due to injury, and the team's average age is 18. How old was the injured player? - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n.
- Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days were needed to manufacture 70312 cars last year? - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 99 cows graze meadow for 14 days and 95 cows by 22 days. How many cows graze the meadow for 77 days?
- Gear
Two gears fit into each other and have a transfer of 2:3. Centers of gears are spaced 82 cm. What are the radii of the gears? - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - R triangle
Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg. - Function
For linear function f(x) = ax + b is f(10)=192; f(16)=170. Calculate m, if f(m) = 2008. - Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump?
- Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many were towels? - 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. - Golden ratio
Divide the line of length 14 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line. - The cyclist
The cyclist went from village to town. The first half of the journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journeys took 88 minutes. Calculate the distance from the village to the town. - Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 9:14 and perimeter is 388.
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