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If = 34x-2 and = x + 6, then find the value of: – - Mathematics

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प्रश्न

If = `3/4x - 2` and = x + 6, then find the value of:

योग
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उत्तर

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`

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अध्याय 10: Algebraic Expressions - Exercise [पृष्ठ ३२७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 10 Algebraic Expressions
Exercise | Q 90. (i) | पृष्ठ ३२७

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 − 

 


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: x2y4


If 11 is subtracted from 4 times a number, the result is 89. Find the number.


Find a number which when multiplied by 5 is increased by 80.


One out of two numbers is thrice the other. If their sum is 124, find the numbers.


Find two numbers such that one of them is five times the other and their difference is 132.


Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, 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 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 side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l. 


To find sum of three numbers 14, 27 and 13, we can have two ways:

  1. We may first add 14 and 27 to get 41 and then add 13 to it to get the total sum 54 or
  2. 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 side length of the top of square table is x. The expression for perimeter is ______.


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.


If = `3/4x - 2` and = x + 6, then find the value of:

2 – `3/2`


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