Examples of equations for high school - page 36 of 63
Number of problems found: 1255
- 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?
- 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? - Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Numbers 6101
Fifty percent of the number x equals sixty percent of the number y. What is the ratio of the numbers x and y? - Sixty
Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total? - Three points 2
The three points are A(3, 8), B(6, 2), and C(10, 2). Point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D.
- 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? - Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years? - Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years? - Exponentially 6065
The intensity of daylight penetrating seawater decreases exponentially depending on its depth. At a depth of 6m, it is reduced by half. The underwater camera needs at least 75% of the daylight intensity for recording. To what depth can we use it under thi - Interest 6047
Mr. Demikát took out a loan worth 5,000 euros from the bank with an interest rate of 12 percent. How many months will it repay if the monthly payment is 80 euros?
- Interest 6043
Mr. Vysoky took out a mortgage on the house. He borrowed a total of 2 million for ten years. The interest rate was 2.3%. How much will Mr. Vysoky pay in total if the interest rate does not change? - Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side. - 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? - 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?
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