Equations practice problems - page 32 of 242
Number of problems found: 4827
- Salt solution
The 50% salt solution must be diluted with distilled water to make 20 liters of 35% solution. How many liters of original solution and how many liters of water do we need? - Jane bought
Jane bought several identical lined notebooks, several identical squared notebooks, and several identical compasses at a stationery store. Two lined notebooks and two squared notebooks cost a total of 180 crowns. Two squared notebooks cost the same as thr - Pepa book pages
The book has 500 pages. Pepa has read half as many pages as he has left. How many pages did Pep read? - Barrel bucket kettle
The internal volume of the barrel is 15 times greater than the bucket's volume. The volume of the bucket is 5 times the volume of the kettle. We took a third of the water from a barrel, leaving 60 liters in it. Calculate the volume of the kettle in liters - Truck car pursuit
At half past six in the evening, a truck left the warehouse at an average speed of 40 km/h. In 1.5 hours, a car drove behind him with an average speed of 70 km/h. How long and at what distance will the truck catch up from the warehouse? - Movie time remaining
The whole movie lasts 1 hour. The time left until the end of the film is half of the time that has already passed since the film's beginning. Calculate how many minutes are left until the end of the movie. - Cable car lift
The cable car can take a given group of skiers out in 20 minutes and the lift in 30 minutes. How long will the lift and cable car take this group out simultaneously? - Point collinear coordinates
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3 - Teacher paper correction The new teacher corrects papers for 9 hours, and the older one fixes them in 6 hours. How much will they repair together?
- Car textbook pursuit At 9 a.m., a truck with textbooks left Brno at a speed of 50 km/h; at 9:30 a.m., a passenger car left Brno with another delivery of textbooks at a speed of 70 km/h. When will the passenger car catch up with the truck?
- Train freight meeting
A passenger train will travel from Brno to Bratislava (144km) in 3 hours; a freight train will cover this distance in 4.5 hours. How long will they meet if a passenger train from Brno and a freight train from Bratislava leave simultaneously? How many kilo - Truck car pursuit
A truck with a speed of 45 km/h left Ostrava. When he had passed 15 km, a car with a 90 km/h speed came behind him. How long does a car catch up with a truck take? How far from Ostrava? - Book encyclopedia sales
The seller sells books for 20 euros and encyclopedias for 50 euros. How many books and encyclopedias did he sell if he sold 121 books? He won €8,000 for both types. - Function graph intersection
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Squirrel acorn supply
A supply of acorns will last a squirrel for 12 weeks and a squirrel for 18 weeks. They ate acorns together for 4 weeks, then the squirrel left. How long did the squirrel have a supply of acorns? - Centimeters - trapezoid
The area of the trapezoid is 132 cm². The difference in the length of both bases is 6 cm, and the height is 2 cm longer than the shorter base. Find the height of the trapezoid in centimeters. - Chain color length
Children in the school club made a tricolor chain from crepe paper. One-eighth of the chain is red, three-quarters is olive, and the remaining 20 cm is blue. What length of chain did they make? - Line perpendicular coordinate
The straight line p is given by the formula y = 1/2 x - 1 . The line q is perpendicular to the line p and passes through the point A [1; 5]. Determine the y-coordinate of the point that intersects the line q with the y-axis. - Cylinder express radius
Please express r from the formula for the surface of the cylinder. - Circle line intersection
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R.
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