Advertisements
Advertisements
प्रश्न
l varies directly as m and l is equal to 5, when `m = 2/3`. Find l when `m = 16/3`.
Advertisements
उत्तर
If l varies directly as m.
∴ `l/m = k` = (constant)
If l = 5 and m = `2/3`
∴ `l/m = 5/(2/3)`
= `5/1 xx 3/2`
= `15/2`
⇒ `k = 15/2`
When `m = 16/3`, then from equation (i),
`l/(16/3) = 15/2` ...[Putting the value of k]
⇒ `l = 15/2 xx 16/3 = 40`
APPEARS IN
संबंधित प्रश्न
Following are the car parking charges near a railway station upto
| 4 hours | ₹60 |
| 8 hours | ₹100 |
| 12 hours | ₹140 |
| 24 hours | ₹180 |
Check if the parking charges are in direct proportion to the parking time.
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:
x and y are said to vary directly with each other if for some positive number k ....,...... = k.
Complite the following table given that x varies directly as y .
| x | 4 | 9 | ... | ... | 3 | ... |
| y | 16 | ... | 48 | 36 | ... | 4 |
A woker is paid Rs 200 for 8 days work. If he works for 20 days, how much will he get?
8 men can do a piece of work in 9 days. In how many days will 6 men do it?
A birthday party is arranged in third floor of a hotel. 120 people take 8 trips in a lift to go to the party hall. If 12 trips were made how many people would have attended the party?
If two quantities x and y vary directly with each other, then ______ of their corresponding values remains constant.
It is given that l varies directly as m. Find l, when m is 33.
Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?
