Equations practice problems - page 224 of 236
Number of problems found: 4708
- Machines
There are three machines in the workshop. The first treats 250 parts for 4.7 hours, the second treats 300 parts for 1.9 hours, and the third treats 230 parts for 4.6 hours. How long will it take to make 3100 parts if all three machines are worked simultan - Rectangle - sides
A rectangle has an area 340 cm². The length of the shorter side is 3 cm fewer than the length of the longer side. What is the perimeter of a rectangle? - Pedestrian
A pedestrian came started at 8h in the morning with a speed of 4.4 km/h. At half-past eleven, the cyclist started at 26 km/h the same way. How long does the cyclist take to catch up with the pedestrian? - Parquet floor
Three workers laid the parquet floor for 2.301 hour. The first would do this work alone 7 hours, the second in 6 hours. For how many hours would this work for the third worker if he worked alone? - Painters
The first painter painted the fence himself for 10 hours, the second painter 2.7 hours sooner than the first, and the third painter slowest up to 21 hours. How long took them to paint the fence if they worked together? - Square
If we increase one side of the square by its one-half, then the square perimeter increases by 10 cm. What is the side of the square? - Swimming pool
The pool shape of a cuboid is 299 m³, full of water. Determine the dimensions of its bottom if the water depth is 282 cm, and one bottom dimension is 4.7 m greater than the second.
- Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Coffee
The coffee from the machine costs 28 cents per cup. Coffee is 20 cents more expensive than the cup. How much is the cup? - 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. - 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 6 cm away from the center is 12 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 hours before the first walker. Its speed is 2.7 times the speed of the first pedestrian. How many hours went p - Eggs
Mother bought from neighbors 39 domestic eggs. Her neighbor got back €4.54 from €10. How many euros get back from 20 banknote if she buys 94 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? - 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)?
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