Examples of equations for high school - page 35 of 63
Number of problems found: 1250
- 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. - Depreciate 6413
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm.
- Parametrically 6400
Find the angle of the line, which is determined parametrically x = 5 + t y = 1 + 3t z = -2t t belongs to R and the plane, which is determined by the general equation 2x-y + 3z-4 = 0. - Rectangular 6397
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles? - Circumference 6355
The circumference of the parallelogram is 486 cm. The length of one side is 1.7 times the length of the shorter side. How long are the sides of the parallelogram? - Beginning 6334
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning?
- Circumference 6312
The triangle has a circumference of 35 cm. The first side is four centimeters larger than the second and, at the same time, 1 cm larger than the third side. Determine the sides of the triangle. - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - Alice
Alice spent 5/11 of her money on a backpack. She has 42 dollars left. How much was her backpack? - 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.
- One-eighth 6206
Water lilies grow on the pond, and their number doubles every day. We will cover the whole level in 12 days. In how many days will one-eighth of the surface be covered? - Water lilies
Water lilies are growing on the pond, and their number is doubling every day. The whole layer is covered in 12 days. How many days will it cover eight layers? - 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? - Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company? - Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 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?
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