Direct proportionality - math word problems - page 33 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
- Coke
One ton of coal is produced 787 kg of coke for iron production. How many wagons of coal by 28 tonnes per day is needed for the blast furnace, which has a daily consumption of 986 tons of coke?
- Math test
There are 32 students in the 6A class, and the teacher managed to give tests to 12 students. 12 testes he gave in 12 min. How many pupils still haven't tested? How long will it take the teacher to give tests to 29 students?
- Square
If we increase the side of the square, increase its area of 91%. What is the percentage we increase the side of the square?
- Map
On the tourist map, on a scale of 1:100000 is the distance between two points along a straight road 8.9 cm. How long travels this distance on a bike at 25 km/h? Time express in minutes.
- Negative percentage
In 2006, the company had a loss of 11100 Euros. Two years later, he was already in profit 50000 Eur. Calculate the percentage of the company's profits that increased in these two years.
- Forestry workers
41 laborers have employed planted trees in the forest. For 7 hour work, a day would end job in 32 days. After 12 days, 7 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 8 hours a day?
- Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they
- Bonus
The gross wage was 1323 USD, including the 25% bonus. How many USD were bonuses?
- Scale
The swimming pool is long 50 m and 30 m wide. The city's plan is shown as a rectangle with an area 2.4 cm². What scale is the city plan?
- Coffee
In stock are three kinds of branded coffee prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 creates a mixture. What will the price of 100 grams of this mixture be?
- Bath
There are 30 liters of hot water in the bath. Then we added 36 liters of cold water at a temperature of 19 °C and decreased the temperature of the water to 41 °C. What was the initial temperature of the hot water?
- Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares.
- Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days were needed to manufacture 70312 cars last year?
- Rectangular cuboid
The rectangular cuboid has a surface area 2080 cm², and its dimensions are in the ratio 4:1:5. Find the volume of this rectangular cuboid.
- TV fail
After 10,000 hours, the TV has an average of 15 failures. Find the probability of TV failure after 500 hours of operation.
- Pediatrician
Pediatrician, this month of 24 working days takes 6 days holidays. What is the probability that it will be at work on Monday?
- Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number.
- Beer
After three 10° beers consumed in a short time, there is 5.6 g of alcohol in 6 kg adult human blood. How much is it per mille?
- Radians
Convert 36° to radians. Write the result as a multiple of the number π.
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