Equation + expression of a variable from the formula - practice problems - page 15 of 40
Number of problems found: 800
- Double price reduction
TV price has been reduced twice, first by 15% and later by another 10% of the reduced price. After this double price reduction, Peter sold the TV for 8,874 crowns. What was the original price of the TV? - Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua - Company's 22283
Ten painters painted the company building in 20 days. In how many days would six painters paint the company's building? - Approximately 22253
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the
- 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? - 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 - 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 - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Hectares of forest
Twelve workers plant 24 ha of forest in 6 days. How many days will 15 people and 12 people plant in the same area? - Two groves
Two groves A B are separated by a forest. Both are visible from the hunting grove C, which is connected to both by direct roads. What will be the length of the projected road from A to B if AC = 5004 m, BC = 2600 m, and angle ABC = 53° 45'? - Pedestrian 20613
Cyclist speed and pedestrian speed are in the ratio of 16:3. The pedestrian will drive 4.5 km per hour. How many cyclists will travel in 2 hours?
- Linear function
Using one of the following forms, x+p=q or px=q, write an to represent these problems using x as the unknown variable. Larry ran seven more miles than Barry in a month; if Larry ran 20 miles, how many did Barry run? - Dimensions 20553
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume. - Perimeter 20283
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side - Average 20173
The average of the two numbers is 2.8. One number is 5. What is the second number? - Horses 20063
Nine horses need a lot of hay for two days. How many horses would the same amount of hay be enough for three days?
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