Advertisements
Advertisements
प्रश्न
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
2
– `3/2`
उत्तर
Given, = `3/4x - 2` and = x + 6
2 – `3/2` = `2 xx (12 + 6) - 3/2(3/4 xx 1 - 2)`
= `36 - 3/2((3 - 2 xx 4)/4)`
= `36 - 3/2((3 - 8)/4)`
= `36 - 3/2((-5)/4)`
= `36 + 15/8`
= `(36 xx 8 + 15)/8`
= `(288 + 15)/8`
= `303/8`
APPEARS IN
संबंधित प्रश्न
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are required to form 5, 10, 100 digits of the kind −
Write down the following in the product form: x2y4
Write down the following in the product form: 10a3b3c3
If 9 is added to a certain number, the result is 36. Find the number.
Find a number which when multiplied by 5 is increased by 80.
If a number is tripled and the result is increased by 5, we get 50. Find the number.
The sum of three consecutive odd numbers is 21. Find the numbers.
A man is 4 times as old as his son. After 16 years he will be only twice as old as his son. Find their present ages.
A man is thrice as old as his son. Five years ago the man was four times as old as his son. Find their present ages.
If I spend f rupees from 100 rupees, the money left with me is ______ rupees.
If m is a whole number, then 2 m denotes a multiple of 2.
The additive inverse of an integer x is 2x.
The side of a regular hexagon is denoted by l. Express the perimeter of the hexagon using l.
(Hint: A regular hexagon has all its six sides equal in length.)
The speed of car is 55 km/hrs. The distance covered in y hours is ______.
A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. Now, answer the following questions:
- How much wire is left?
- If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 5 natural numbers.
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.
The sum of squares of first n natural numbers is given by `1/6n(n + 1)(2n + 1)` or `1/6(2n^3 + 3n^2 + n)`. Find the sum of squares of the first 10 natural numbers.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.
If 
= 2x + 3, 
= `3/2x + 7` and 
= x – 3 then find the value of:
`1/2`
+ 
– 3
