Quadratic Equations Problems - page 19 of 30
Number of problems found: 600
- Young mathematician
One young mathematician was bored again. He found that the average age of people in the room where the seminar is held is equal to its count. Then, his 29-year-old brother entered the room. Even then, the average age of all present was the same as the cou - Destination 6420
On the 182 km route, car A left at 9:00 a.m., car B at 9:30 a.m., and car C at 9:45 a.m. All three cars reached their destination at the same time. The average speeds of cars A and B differed by 6.5 km/h. How much did the average rates of cars A and C dif - Calculate 6414
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence. - Consecutive 6402
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers. - Find radius Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r
- Thunderstorm
The height of the pole before the storm is 10 m. After a storm, when they check it, they see that the ground from the pole blows part of the column. The distance from the pole is 3 meters. At how high was the pole broken? (In fact, the pole created a rect - ABCDA'B'C'D 6261
The ABCDA'B'C'D 'prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC 'is 11.4 cm long. Calculate the surface area and volume of the prism.
- Rectangular 6255
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle. - Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm. - A bridge
The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river? - Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable? - Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C? - Circumference 6040
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm. - Find two
Find two consecutive natural numbers whose product is one larger than their sum. Searched numbers are expressed by a fraction whose numerator is the difference between these numbers, and the denominator is their sum.
- Everyone 5965
We bought towels for CZK 432. If there were six more towels for the same money, everyone would be 66 CZK cheaper. How many towels were there? - Proportion 5904
A kilogram of one kind of nut is sold for 130 CZK. A kilogram of another type of nuts for 250 CZK. In what proportion are the two kinds of nuts mixed in a mixture whose price is CZK 220 per kilogram? - Geometric 5895
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1? - Bamboo
At a certain height, the wind broke the bamboo high 32 feet, so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken? - Tractors
Two tractors plow the field for 4 hours together. If the first tractor plowed half of the field and then the second tractor completed the job, it would take 9 hours. How many hours does the field plow for each tractor separately?
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