Advertisements
Advertisements
प्रश्न
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
2
– `3/2`
Advertisements
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 −
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: 9xy2z
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.
The sum of three consecutive natural numbers is 114. Find the numbers.
Find two numbers such that one of them exceeds the other by 18 and their sum is 92.
One out of two numbers is thrice the other. If their sum is 124, find the numbers.
The area of a square having each side x is ______.
The two digit number whose ten’s digit is ‘t’ and units’s digit is ‘u’ is ______.
If I spend f rupees from 100 rupees, the money left with me is ______ rupees.
The additive inverse of an integer x is 2x.
If x is a negative integer, – x is a positive integer.
The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.
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 diameter of a circle is a line which joins two points on the circle and also passed through the centre of the circle. (In the adjoining figure AB is a diameter of the circle; C is its centre.) Express the diameter of the circle (d) in terms of its radius (r).
To find sum of three numbers 14, 27 and 13, we can have two ways:
- We may first add 14 and 27 to get 41 and then add 13 to it to get the total sum 54 or
- We may add 27 and 13 to get 40 and then add 14 to get the sum 54. Thus, (14 + 27) + 13 = 14 + (27 + 13)
This can be done for any three numbers. This property is known as the associativity of addition of numbers. Express this property which we have already studied in the chapter on whole numbers, in a general way, by using variables a, b and c.
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.
