Equations practice problems - page 229 of 242
Number of problems found: 4827
- Flowerbed
On the flowerbed were planted 310 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed? - Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s) - The store
The store received the same number of cans of peas and corn. On the first day, we sold 10 cans of peas and 298 cans of corn, leaving 7 times more peas than corn cans. How many cans of each kind were in the store? - Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 19 days, B with C for 19 days, and A with C for 11 days. How long would it take to complete the task for everyone alone? How long would it take to complete the - Two runners
Two runners ran simultaneously towards each other from locations distant 23.1 km. The average speed of the first runner was 1/7 higher than the average speed of the second runner. How long should each run a 23.1 km, if you know they meet after 58 minutes? - Equation
Equation -3x²+bx -108 =0 has one root x1 = 1. Determine the coefficient b and the second root x2. - Machines
There are three machines in the workshop. The first treats 280 parts for 3.7 hours, the second treats 460 parts for 2.7 hours, and the third treats 550 parts for 3.6 hours. How long will it take to make 2440 parts if all three machines are worked simultan - Quadrenergic
Of the positive numbers 32, a, b, 128, the first three are three consecutive terms of an arithmetic sequence, the last three are three consecutive terms of a geometric sequence. Determine the value of the terms a and b. - 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 7h in the morning with a speed of 3.2 km/h. At half-past eleven, the cyclist started at 30 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 4 cm. What is the side of the square? - Swimming pool
The pool shape of a cuboid is 237 m³, full of water. Determine the dimensions of its bottom if the water depth is 199 cm, and one bottom dimension is 4.8 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 31 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. - 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?
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