Direct proportionality - practice problems - page 8 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
- Part-timers 47393
Fifty part-time workers planted 5,200 trees in a forest on a weekend brigade the forest in 9 hours. How many more part-timers do they have to lose next time to plant the same number of trees in eight hours? - Flooring 46511
The carpet covers 8 m² of flooring, which is one-third of the entire floor area. How big is the whole floor? - The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has - Jewelry box
The bottom of Zeyda's jewelry box is a rectangle with a length of 5 3/8 inches and a width of 3 1/4 inches. What is the area at the bottom of the jewelry box?
- Thirty-six 40921
Thirty-six women earned € 2,640 in 5 days during the strawberry harvest. How much € 24 will women earn in 8 days under the same conditions? - Products 37321
Eight workers produce 2048 products per shift. In how many hours would ten workers produce the same amount of products? (shift is 8 hours) - Mushroom risotto 630g of rice is needed to prepare mushroom risotto for four people. How many boxes of 500g rice do you have to buy to prepare risotto for 17 people?
- Wool ball
Mrs. Black used 1.2 kg of wool to knit the sweater. The shop sold a wool ball weighing 100 grams for 39 CZK. How much money would she save if she knitted the sweater herself than if she bought it for CZK 720 in the shop? (CZK is Czech currency = Kč) - Scale factor 2
Nadeem has a 10-inch by 10-inch photo album. He wants to make a large copy of the original photo to fit the album. What are the largest dimensions of the copy if he keeps the proportion of the original photo? Explain your answer. The original photo is 5 i
- Book reading
Susan thought, "If I read 15 pages a day, I will read the whole book in 8 days. "How many pages would she have to read a day if she wanted to finish the book on the 6th day from the start of reading? And how many pages does the book have? - Mr. Ben
Mr. Ben drives bricks to the construction site. If he drove three times a day, he would make bricks in 8 days. How many times a day would he go every day to be done two days earlier? - Minutes 31571
The typist typed 16 pages of text in 2 hours and 8 minutes. How many pages of text will you write at the same speed in 20 minutes? - Eighteen 31561
Eighteen nozzles fill the pool in 12 and a half hours. How long does it take for the pool to fill 15 nozzles? - Everyone drinks the same
Twenty-four bricklayers drink 72 beverage bottles a day at the construction site. How many bottles would 19 bricklayers need? Everyone drinks the same.
- General line equations
In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin - Veronika 30553
Veronika, who worked in the store, put products from boxes onto shelves. She emptied 35 boxes every quarter of an hour. She thus emptied all the boxes in a tenth of her six-hour work shift. Only then did she devote herself to other work. How many boxes di - Consumption 30411
The vest consumes 170 cm of fabric with a width of 140 cm. What is the consumption of a material that is 150 cm wide? - Olive seeds
5 kg of oil is pressed from 100 kg of seeds. How many kgs of seeds do we need to produce 85 kilograms of oil? - Fabric 29531 To sew a dress, you need 2 meters of fabric 150cm wide. How many meters of cloth do we need for the same dress if the fabric is only 90 cm wide?
In the autumn, the school canteen bought 50 kg of apples for 12 CZK. If the apples already cost 20 CZK, how many kilograms of apples could they buy before Christmas for the same amount?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
