Equations practice problems - page 229 of 241
Number of problems found: 4811
- Drive
8 people take out at the bus stop, and 4 people take into the bus. Next stop 5 take out, and 4 take in. On the third stop, 8 takes out, and 10 takes in. The bus traveled further with 37 people. How many passengers were originally on the bus? - Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents. - Honored students
At the end of the school year, 22% of the 450 children received honors. Honors were awarded to 20% of the boys and 25% of the girls. How many boys and girls attend this school? - Column
The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break? - Rhombus
The rhombus with area 95 has one diagonal that is longer by 7 than the second one. Calculate the length of the diagonals and rhombus sides. - Circle chord
Determine the circle's radius in which the chord 15 cm away from the center is 21 cm longer than the circle's radius. - Train and car
The train and the car started at a constant speed. When the train travels 87 km, the car travels 97 km. How many km does the train travel when the car travels 87 km? - Walkers
Two walkers simultaneously started against each other from places A and B. After the meeting, both continued to B. The Second walker came to B 2.3 hours before the first walker. Its speed is 1.7 times the speed of the first pedestrian. How many hours went - Eggs
Mother bought from neighbors 36 domestic eggs. Her neighbor got back €0.32 from €5. How many euros get back from 10 banknote if she buys 66 eggs from a neighbor? - Waiting room
In the waiting room are people and flies. Together, they have 21 heads and 102 legs (fly has six legs). How many people and flies are in the waiting room? - Certificate
There are 21 students in a class. The mathematics score wasn't worse than 2. The average score in mathematics was 1.0952. How many students have a score of one, and how many have a score of 2? - Tubes
Iron tubes in the warehouse are stored in layers so that each tube's top layer fits into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if the top layer has 9 tubes? How many tubes are in the bottom layer of tubes? - Cyclists
The cyclist who rides at an average speed 20 km/h travels a trip distance 13 min before the cyclist who rides at an average speed 15 km/h. What is the length of this cyclist trip(distance in km)? - Louvers
The company charges for office equipment louvers total 287 Eur. From the delivery, the bill is obvious that the louvers are 63 Eur more expensive than their installation. What percentage of the total charged is the installation of louvers? - Two wine
In the ratio of 2:1, mixed wine solution cost 4.4 USD. In the ratio of 1:2, mixed wine solution costs 4.8 USD. How much does a liter of each wine cost? - Geodesist
Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist. - Mom and daughter
Mom is 21 years older than the daughter. What is the age difference between them in 32 years? - Trains
Daily passes the same track section 10 pairs of trains with average 2140 passengers. How many people, on average, travel on one train? - Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=100°. What sizes have other angles in a triangle? - Leg and height
Solve right triangle with height v = 7.8 m and shorter cathetus b = 15 m.
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