Advertisements
Advertisements
Question
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______.
Advertisements
Solution
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is 8.
Explanation:
x varies inversely as y.
In inverse proportion, xy = k ...(Constant)
If x = 4 and y = 6, then k = 4 × 6 = 24
Now, when x = 3, then `y = k/x`
⇒ `y = 24/3 = 8`
APPEARS IN
RELATED QUESTIONS
Which of the following are in inverse proportion?
The number of workers on a job and the time to complete the job.
In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
| Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
| Prize for each winner (in Rs) | 1,00,000 | 50,000 | ... | ... | ... | ... | ... |
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
18 men can reap a field in 35 days. For reaping the same field in 15 days, how many men are required?
A farmer has enough food for 144 ducks for 28 days. If he sells 32 ducks how long will the food last?
It takes 60 days for 10 machines to dig a hole. Assuming that all machines work at the same speed, how long will it take 30 machines to dig the same hole?
If two quantities p and q vary inversely with each other then ______ of their corresponding values remains constant.
If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.
Sobi types 108 words in 6 minutes. How many words would she type in half an hour?
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | l | 9 | n | 6 |
| b | 5 | m | 25 | 10 |
