Examples of equations for high school - page 37 of 63
Number of problems found: 1258
- 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? - Kilometers 5928
The tourist traveled 78 km in three hours. For part of the journey, he traveled by bus at an average speed of 30 km/h, the rest, he walked at an average speed of 6 km/h. How long did he walk, and how many kilometers did he walk? - Proportion 5904
A kilogram of one kind of nuts 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? - Inscribed circle
Calculate the magnitude of the BAC angle in triangle ABC if it is three times less than the angle BOC, where O is the center of the circle inscribed in triangle ABC.
- Geometric 5895
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1? - Triangle 5851
In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle? - 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? - Increases 5807
7.18% of the wood mass increases in the forest every year. How many years will the timber double with a steady annual increase? - 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?
- Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river? - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Endless lego set
The endless lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
- Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x. - Repay, interest, loan
Ramchacha takes a loan amount of 240000 from a bank for constructing a house at a simple interest rate of 12% per annum. After one year of taking the loan, he rents the house at the rate of 5200 per month. Determine the number of years he would take to re - Traveling 5687
The distance between the two cities is 60 km. It takes a slower vehicle half an hour longer to travel this distance than a faster one traveling at speed 50 percent faster. How fast is each vehicle going? - Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself? - Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle?
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