Answer:
13013
Step-by-step explanation:
Express each number in terms of the product of prime numbers.
91 = 7 × 13
143 = 11 × 13
169 = 13 × 13
Now consider the maximum number of times each factor occurs for each number.
The factor 7 occurs once
The factor 11 occurs once
The factor 13 is repeated twice ( maximum number of times for 1 number )
Thus LCM = 7 × 11 × 13 × 13 = 13013
Answer:
![\large \boxed{\text{8 m}}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B%5Ctext%7B8%20m%7D%7D)
Step-by-step explanation:
Let side of triangle = x
And side of rectangle = y
Perimeter of triangle = 3x
Perimeter of rectangle = 4y
We have two conditions:
![\begin{array}{lrcl}(1) & y & = & x + 10\\(2) &4y & = & 3\times 3x\\& 4y & = & 9x\\& 4(x + 10) & = & 9x\\& 4x + 40 & = & 9x\\& 40 & = & 5x\\& x& = &\mathbf{8}\\\end{array}\\\text{Each side of the triangle is $\large \boxed{\textbf{8 m}}$ long.}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blrcl%7D%281%29%20%26%20y%20%26%20%3D%20%26%20x%20%2B%2010%5C%5C%282%29%20%264y%20%26%20%3D%20%26%203%5Ctimes%203x%5C%5C%26%204y%20%26%20%3D%20%26%209x%5C%5C%26%204%28x%20%2B%2010%29%20%26%20%3D%20%26%209x%5C%5C%26%204x%20%2B%2040%20%26%20%3D%20%26%209x%5C%5C%26%2040%20%26%20%3D%20%26%205x%5C%5C%26%20x%26%20%3D%20%26%5Cmathbf%7B8%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BEach%20side%20of%20the%20triangle%20is%20%24%5Clarge%20%5Cboxed%7B%5Ctextbf%7B8%20m%7D%7D%24%20long.%7D)
Answer: it would take jenny 9 hours to do alone
Step-by-step explanation:
Answer:
5n
Step-by-step explanation:
cost of one helmet = $5
let 'n' be the number of person that is n=1,2,3,4........
note that the value of n is always a natural number
therefore the expression = 5n
where 5 is the cost one helmet
n is the number of persons