Advertisements
Advertisements
Question
Pattern B consists of four tiles like pattern A. Write a proportion involving red dots and blue dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.
Advertisements
Solution
The number of red dots in pattern A (•) = 4
The number of blue dots in pattern A (`square`) = 2
Pattern B consists of four tiles like pattern A i.e.
Patter A × 4 = Pattern B
∴ Proportion in pattern = `2/6 = 1/3`
Now, proportion of blue dots and red dots in pattern B = `8/32 = 1/4`
APPEARS IN
RELATED QUESTIONS
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
Fill in the blank in of the following so as to make the statement true:
If u = 3 v, then u and v vary .... with each other.
A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required to cover a distance of 1650 km?
When two quantities x and y are in ______ proportion or vary ______ they are written as `x oo y`.
When the speed remains constant, the distance travelled is ______ proportional to the time.
The number of workers and the time to complete a job is a case of direct proportion.
The mass of an aluminum rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.
From the following table, determine if x and y are in direct proportion or not.
| x | 3 | 6 | 15 | 20 | 30 |
| y | 12 | 24 | 45 | 60 | 120 |
Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.
| Mixture C | Mixture D |
 |
 |
If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?
