Functions + expression of a variable from the formula - practice problems - page 14 of 35
Number of problems found: 681
- Age of family
The age of father and son is in a ratio of 10:3. The age of the father and daughter is in a ratio of 5:2. How old are a father and a son if the daughter is 20? - The number 72
The number 72 increased by 25%. By how much % will you have to reduce the number you created to get the number 72 again? - Remaining 23651
Food for 42 dogs is enough for 35 days. After 15 days, the two dogs adopted new owners. For how many days will the food for the remaining dogs be enough? - Reconstruction 23531
The enclosure for lions in the ZOO has a rectangular shape with a length of 5.6m and a width of 6.8m. During the reconstruction, the length of the fence must be adjusted to 5.2 m so that the size (contents) of the paddock stays the same. What will be the
- Cross-section 23491
The cross-section of the railway embankment is an isosceles trapezoid, the bases of which are in a ratio of 5:3. The arms have a 5 m embankment height v = 4.8 m. Calculate the section area S. - Calculate 23411
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism. - Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4. - Tournament 23371
The goalkeeper caught 188 shots during the tournament and achieved a success rate of 94%. How many shots per goal ended up in the net? - The farmer
The farmer calculated that the supply of fodder for his 20 cows was enough for 60 days. He decided to sell two cows and a third of the feed. How long will feed the rest of the peasant's herd last?
- In a
In a triangle, the aspect ratio a: c is 3: 2, and a: b is 5: 4. The perimeter of the triangle is 74cm. Calculate the lengths of the individual sides. - 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? - The angles ratio
The angles in the ABC triangle are in the ratio 1:2:3. Find the angles' sizes and determine what kind of a triangle it is. - 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 - Quadrilateral 22003
The shelter has the shape of a regular quadrilateral pyramid without a front wall. The length of the base edge is 3 meters, and the shelter's height is 3.5 meters. How much canvas must be bought to sew it if we have to increase consumption by 20% for fold - Coordinates 21553
I have to calculate the basis of the exponential function f: A on x. The function passes through point A with coordinates (-2, twenty-five quarters). - Circumference 21463
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - Compound interest 4
3600 dollars Peter placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the nearest cent?
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