Ratio + expression of a variable from the formula - practice problems - page 10 of 13
Number of problems found: 257
- Twenty-three-year-old 6317
The average age of the first five hockey players was 22 years. The coach replaced the twenty-three-year-old player with a younger one, which lowered the average age of the first five hockey players to 21 years. How old is the new player? - Concerning 6294
Two isosceles triangles have the same angle at the apex concerning the base. One has a 17 cm long arm and a 10 cm long base. The second has a base length of 8 cm. Determine the length of his arm. - Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - 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.
- Calculate 6240
The ratio of the two natural numbers is 2: 3. The smaller number in this pair is 12. Calculate the larger A number from this pair. - Length 6208
How does the volume of a cube change if we double the length of its edge? - Wood harvesting
The harvested wood is bundled from the forest to a sawmill. The driver makes the journey four times a day, and the work takes him eight days. How often would he have to go daily to finish the job two days earlier? - The diamond
The diamond has 35 cm-wide sides, and the diagonals are in a ratio of 1:2. Calculate the diagonal lengths. - 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?
- Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then the plasticine was split into two parts in a ratio of 1:8. From each piece made, a cube. In what ratio are the surfaces of these cubes? - The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms and a resistor of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual appliances? - 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? - Lecturers 6099
Three lecturers will create 75 tasks in two and a half days. In how many days will it take at least five lecturers to create enough exercises for the exercise book, which should contain 300 exercises? (we assume that all tutors are equally efficient and w - Cuboid
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7: 5: 3. Calculate the length of the edges.
- Traveling 6067
A car traveling at 75 km/h will drive from place A to place B in 3/4 hours. How long does it take for a cyclist to get there at a speed of 25 km/h? - Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Twelve
Twelve students work on a week forestry brigade. One hundred spruces will receive x CZK, one hundred pine y CZK. How many receive each student in one day if they planted a total of 25,000 spruces per week and 30,000 pine trees? Express by expression. - R1+R2 in parallel
The resistance ratio of the first and second resistors is 3:1, and the current flowing through the first resistor is 300 mA. What current flows through the second resistor (resistors connected in parallel)? - 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?
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