Direct relationship + expression of a variable from the formula - practice problems - page 3 of 4
Number of problems found: 78
- Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - 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 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. - 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?
- 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. - 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. - Sick
Six seamstresses should make 60 shirts in five business days. After three days, two seamstresses were sick. How many days have the remaining seamstresses to finish the contract?
- Natural gas in kWh
Gas consumption for 2017 was 11,301 kWh I paid 532 € How much is 1 m³? - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Three-fourths 5676
The three numbers are in the ratio of 4:7:14. Three-fourths of the smallest number is one greater than one-fifth of the largest number. How many times is the product of these three numbers greater than their sum? - Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. How many liters of orange did he mix if he used 8 liters of red? - Guppies
Audrey has some guppies in a fish tank. The ratio of the oranges guppies to silver guppies is 3:5. She has 12y oranges guppies. Write the number of silver guppies she has in terms of y
- Dimensions 5307
The perimeter of the triangle is 48 m. Calculate its dimensions if they are in the ratio 5:3:4 - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high. - Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree? - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
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