Advertisements
Advertisements
प्रश्न
l varies directly as m and l is equal to 5, when `m = 2/3`. Find l when `m = 16/3`.
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
A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added.
| Parts of red pigment | 1 | 4 | 7 | 12 | 20 |
| parts of base | 8 | .... | .... | .... | .... |
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.
A, B and C can reap a field in \[15\frac{3}{4}\] days; B, C and D in 14 days; C, D and A in 18 days; D, A and B in 21 days. In what time can A, B, C and D together reap it?
If 9 girls can prepare 135 garlands in 3 hours, how many girls are needed to prepare 270 garlands in 1 hour?
A dozen bananas costs ₹ 20. What is the price of 48 bananas?
Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?
The number of workers and the time to complete a job is a case of direct proportion.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The quantity of rice and its cost.
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 A | Mixture B |
 |
 |
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?
A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow 8 m long at the same time. The lengths of the shadows are directly proportional to their heights. Find the height of the tank.
