Advertisements
Advertisements
Question
A triangle is made up of 2 red sticks and 1 blue sticks . The length of a red stick is given by r and that of a blue stick is given by b. Using this information, write an expression for the total length of sticks in the pattern given below:
Solution
Given, length of a red stick = 2r and length of a blue stick = b
From the given figure,
The total number of red sticks = 18
and the total number of blue sticks = 6
So, the total length of sticks = 18r + 6b = 6(3r + b)
Hence, the required expression is 6(3r + b).
APPEARS IN
RELATED QUESTIONS
Factorize the following expressions:
(a - 2b)3 - 512b3
Factorize the following expressions:
`a^3 - 1/a^3 - 2a + 2/a`
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
If a2 + b2 + c2 = 20 and a + b + c = 0, find ab + bc + ca.
Write the value of 483 − 303 − 183.
Evaluate: (a2 + b2 + c2 - ab - bc - ca)(a + b + c)
Express the following as an algebraic expression:
The product of 12, x, y and z minus the product of 5, m and n.
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
Shiv works in a mall and gets paid ₹ 50 per hour. Last week he worked for 7 hours and this week he will work for x hours. Write an algebraic expression for the money paid to him for both the weeks.
Match Column I with Column II in the following:
Column I | Column II |
1. The difference of 3 and a number squared | (a) 4 – 2x |
2. 5 less than twice a number squared | (b) n2 – 3 |
3. Five minus twice the square of a number | (c) 2n2 – 5 |
4. Four minus a number multiplied by 2 | (d) 5 – 2n2 |
5. Seven times the sum of a number and 1 | (e) 3 – n2 |
6. A number squared plus 6 | (f) 2(n + 6) |
7. 2 times the sum of a number and 6 | (g) 7(n + 1) |
8. Three less than the square of a number | (h) n2 + 6 |