Equations practice problems - page 238 of 251
Number of problems found: 5002
- Two runners
Two runners set off simultaneously toward each other from locations 23.1 km apart. The average speed of the first runner was 1/7 greater than the average speed of the second runner. How long would each take to run 23.1 km, given that they meet after 58 mi - 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 of 340 cm². The shorter side is 3 cm less than the longer side. What is the perimeter of the 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? - 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 97 km, the car travels 54 km. How many km does the train travel when the car travels 97 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
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