Direct proportionality - math word problems - page 15 of 35
Two sequences of numbers are proportional if their corresponding elements have a constant ratio. Direct proportionality is the dependence of two quantities, such that the number of times one quantity increases, the other quantity increases as many times. In other words: direct proportionality is a relationship in which it applies: in what proportion one quantity changes, in that proportion the other quantity also changes.For example:
For 1 euro, I buy 10 rolls, then for 2 euros I buy 20 rolls in the same store.
A car travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality.
Number of problems found: 688
- Procedure 7191
I have a board measuring 3.2 m x 1.23 m, and I need to draw it in A3 format. It is 42 cm x 29.7 cm. How do I find out the ratio for drawing the board? I will also ask for the procedure. - Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are a real number) - Calculate 7102
The combine harvester 51.52 t of wheat from 18.4 ha. a) calculate the yield per hectare. b) What field area would the farmer have to harvest 350 tonnes at the same yield? - Produced 7037
Beetles grown on leaves from 40 mulberry trees can produce 40 kg of cocoons yearly. 100 m of silk is produced from this amount. How much silk can be produced from cocoons grown on the leaves of 200 mulberry trees?
- Composite ratio
Jakub, Aneta, and Lenka divided 1342 USD in the ratio of 5/2:3/10:1/4. How much did Lenka take? - Two masters
The two masters will make as many parts as five apprentices simultaneously. An eight-hour shift begins at 6 o'clock. When can a master finish the job to produce just as much as an apprentice for the whole shift? - Brigadiers 6965 Brigadiers Ivan, Lea, and Dano earned a total of 480 €. Ivan made a third of that money. Lea and Dano made the remaining money in a 3:1 ratio. How much € did Leo earn?
- Seawater
Seawater density is 1025 kg/m³, and ice is 920 kg/m³. Eight liters of seawater froze and created a cube. Calculate the size of the cube edge. - Apples
The school kitchen bought 36 kg apples for 12 CZK/kg. How many kilograms of apples 1/4 cheaper can they buy for the same money?
- Imagine
Imagine that a unit of air at a temperature of 25°C rises a mountain range 3,000 meters high on the windward side and descends to 1,200 meters on the leeward side, assuming that the air will remain dry. What will its temperature be when it crosses the top - Air thermal
Imagine that a unit of air rises 3000 meters high. If the temperature decreases 6 degrees Celcius for every 1000 meters, what will be its temperature at 1400 meters, 2000 meters, 2500 meters, and when it reaches the 3000-meter elevation? The starting temp - Land area 2
A land area was divided among the three heirs in the ratio of 5:2:4. If the largest share was 20 hectares of land, what is the total land area? Please show your solution and what kind of proportion it is. - Proportion 2
A car can travel 210 km in 3 hours. How far can it travel in 5 hours? But what kind of proportion is this? Show your solution. - Supermarket
In a local supermarket, 3/5 kilograms of octopus cost 156.00. How much do 4 kilograms of octopus cost?
- Shadow
A meter pole perpendicular to the ground throws a shadow of 40 cm long. The house throws a shadow 6 meters long. What is the height of the house? - Bulbs and electricity
In the sports hall, 875 identical light bulbs light for 2 hours. How long do 100 such light bulbs consume the same amount of electricity? - Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line. - Cylindrical 6636
A cylindrical container with a bottom diameter of 30 cm and a height of 20 cm is filled with water. We want to pour the water into another cylindrical container with a bottom diameter of 15 cm. What minimum height must the second container have for the wa - 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.
A circular cylinder has an area of cross-section of 56 cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16 cm². What is the height of the cuboid?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
