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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

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 −


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 odd numbers is 21. Find the numbers.


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.


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.


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.)


A cube is a three-dimensional figure as shown in the given figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by l. Find the formula for the total length of the edges of a cube. 


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:

  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 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:

  1. How much wire is left?
  2. 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 the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 19.


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