Advertisements
Advertisements
Question
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
– 
Advertisements
Solution
Given, = `3/4x - 2` and = x + 6
– = `3/4 xx 10 - 2 - 4 - 6`
= `30/4 - 12/1` ...[∵ LCM of 4 and 1 is 4]
= `(30 - 48)/4`
= `(-18)/4`
= `(-9)/2`
APPEARS IN
RELATED QUESTIONS
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: 6y5
If 9 is added to a certain number, the result is 36. Find the number.
The sum of three consecutive natural numbers is 114. Find the numbers.
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.
Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?
Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, find their present ages.
The perimeter of the triangle shown in the following figure is ______.
The additive inverse of an integer x is 2x.
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 length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?
Find the perimeter of the figure given below:
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of natural numbers from 11 to 30.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.
