Equations practice problems - page 100 of 240
Number of problems found: 4793
- A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field? - Birthdays
In the classroom, students always give candy to their classmates on their birthdays. The birthday person always gives each one candy, and he does not give it himself. A total of 650 candies were distributed in the class per year. How many students are in - Pardubice 22123
At 1 p.m., a Škoda Felicia drove from Pardubice to Kolín at a speed of 60 km/h. Half an hour later, a Škoda Oktavia drove the same way at a speed of 80 km/h. When will Oktavia catch up with Felicia? - Motorcyclist 22103
The distance from Olomouc to Brno is 77 km. At 4:00 PM, a passenger car left Olomouc for Brno at an average speed of 100 km/h. Half an hour later, a motorcyclist drove from Brno to Olomouc at an average speed of 80 km/h. What time do they meet? - Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Herbs drying
By drying, 75% of the weight of the herbs is lost. How many fresh herbs do you have to dry if you want to hand in 1.2 kg of dried herbs? - Determine 21903
A truck left place A at 8:00 a.m. at a speed of 60 km/h. From place B, which is 225 km from A, a car drove towards it at a speed of 90 km. Determine when and how far from place A the vehicles meet. - Distance 21883
The distance between K and L is 150 km. At 8.00, a car left place K at a speed of 60 km/h. At 9:00 a.m., a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be? - Bricklayers
The first bricklayer would build a wall in 3 days, the second in 4 days. The first bricklayer worked alone for a day, then the second bricklayer came to his aid and finished the work together. How long did it take to build the wall? - Championships 21683
Before the World Water Polo Championships, it was necessary to fill the pool. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool b - Quadratic - EQ2 - complex
Solve the quadratic equation: 2y²-8y + 12 = 0 - Coefficient 21623 In the equation 2x² + bx-9 = 0 there is one root x1 = -3 / 2. Determine the second root and the coefficient b
- Seedlings 21583
Mrs. Beránková bought flowers for spring planting. Begonias were CZK 35 each, and geraniums CZK 48 each. She paid CZK 1,070 for 25 seedlings. How many begonia seedlings and how many nutmeg seedlings did she purchase? - Sixty-three 21513
Sixty-three children went to the camp. There are seven more boys than girls. How many boys went to the camp, and how many girls? - Representing 21473
Six 7th graders, representing 24% of all graders, had honors. How many students are in the class? - Circumference 21463
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - Difference of legs
In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle. - Magnification 21383
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification. - Equation: 21313
Solve the equation: 5 / (x-4) - 2 / (4x-16) = - 7 - Water mixing
There are 5 liters of water at 75°C in the pot. How much water at 10°C do we have to add to the resulting temperature of 55°C?
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