Advertisements
Advertisements
Question
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
2
– `3/2`
Advertisements
Solution
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
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 −
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 −
Use the given algebraic expression to complete the table of number patterns.
| S. No |
Expression |
Terms | |||||||||
| 1st | 2nd | 3rd | 4th | 5th | ... | 10th | ... | 100th | ... | ||
| 1 | 2n - 1 | 1 | 3 | 5 | 7 | 9 | - | 19 | - | - | - |
| 2 | 3n + 2 | 5 | 8 | 11 | 14 | - | - | - | - | - | - |
| 3 | 4n + 1 | 5 | 9 | 13 | 17 | - | - | - | - | - | - |
| 4 | 7n + 20 | 27 | 34 | 41 | 48 | - | - | - | - | - | - |
| 5 | n2 + 1 | 2 | 5 | 10 | 17 | - | - | - | - | 10001 | - |
Write down the following in the product form: 6y5
Write down the following in the product form: 9xy2z
If 9 is added to a certain number, the result is 36. Find the number.
If 11 is subtracted from 4 times a number, the result is 89. Find the number.
When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225. Find that number.
Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?
Mrs. Goel is 27 years older than her daughter Rekha. After 8 years she will be twice as old as Rekha. Find their present ages.
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 m is a whole number, then 2 m denotes a multiple of 2.
The side length of the top of square table is x. The expression for perimeter is ______.
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 the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 7.
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
