Let the number of machines required to produce articles in 54 days be x.
The following table is obtained.
Number of machines | 42 | x |
---|---|---|
Number of days | 63 | 54 |
More the number of machines, lesser will be the number of days that it will take to produce the given number of articles.
Thus, this is a case of inverse proportion.
Therefore,
\(42 × 63 = 54× x\)
\(x=\frac{42 × 63 }{ 54}\)
\(=49\)
Hence, the required number of machines to produce the given number of articles in 54 days is 49.
Number of spokes | 4 | 6 | 8 | 10 | 12 |
---|---|---|---|---|---|
Angle between a pair of consecutive spokes | 90° | 60° | … | … | … |
(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40°?
Say whether the following are true or false.
1. Ignesious lost his wife, two children, his father-in-law, and his brother-in-law in the tsunami.
2. Sanjeev made it to safety after the tsunami.
3. Meghna was saved by a relief helicopter.
4. Almas’s father realised that a tsunami was going to hit the island.
5. Her mother and aunts were washed away with the tree that they were holding on to.