Advertisements
Advertisements
प्रश्न
Complite the following table given that x varies directly as y .
| x | 6 | 8 | 10 | ... | 20 |
| y | 15 | 20 | ... | 40 | ... |
Advertisements
उत्तर
\[\text{ Here, x and y vary directly } . \]
\[ \therefore x = ky\]
\[ x = 6 \text{ and } y = 15\]
\[i . e . , 6 = k \times 15\]
\[ \Rightarrow k = \frac{6}{15} = 0 . 4\]
\[\text{ For x = 10 and k = 0 . 4, we have: } \]
\[y = \frac{10}{0 . 4} = 25\]
\[\text{ For y = 40 and k = 0 . 4, we have: } \]
\[x = 0 . 4 \times 40 = 16\]
\[\text{ For x = 20 and k = 0 . 4, we have: } \]
\[y = \frac{20}{0 . 4} = 50\]
संबंधित प्रश्न
A cistern can be filled by one tap in 8 hours, and by another in 4 hours. How long will it take to fill the cistern if both taps are opened together?
A cistern can be filled by a tap in 4 hours and emptied by an outlet pipe in 6 hours. How long will it take to fill the cistern if both the tap and the pipe are opened together?
For 9 cows, 13 kg 500 g of food supplements are required every day. In the same proportion, how much will be needed for 12 cows?
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?
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?
Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?
In which of the following case, do the quantities vary directly with each other?
An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is ______.
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.
Kritika is following this recipe for bread. She realises her sister used most of sugar syrup for her breakfast. Kritika has only `1/6` cup of syrup, so she decides to make a small size of bread. How much of each ingredient shall she use?
Bread recipe
1 cup quick cooking oats
2 cups bread flour
`1/3` cup sugar syrup
1 tablespoon cooking oil
`1 1/3` cups water
3 tablespoons yeast
1 teaspoon salt.
