Kaelynaust1128
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Lauren’s age can be represented by the expression 10m2. Kristen’s age can be represented by the expression 2m5.


What is the ratio of Lauren’s age to Kristen’s age?

Verified Answer :

rabinshrestha41

Given: 
Lauren's age =  \(10 m^{2}\)
Kristen's age = \(2 m^{5}\)

ratio of Lauren's age to Kristen's age = \(\frac{10 m^{2} }{2 m^{5} }\)
 
                                                      = \(\frac{2 * 5* m^{2} }{2* m^{5} }\)
                                            
                                                     = \(\frac{5 }{ m^{5-2} }\)
          
                                                      = \(\frac{5 }{ m^{3} }\)

So, the ratio is 5  :  m³

The ratio of Lauren's Age to Kristen's Age = \(\rm5:m^3\)

Ratio of two numbers is a quantitative relationship between two numbers showing that  how one number is increasing or decreasing with respect to other number.

If a and b are two numbers then the their ratio r is represented by the equation  (1)

\(r = a:b......(1)\)

Lauren' s Age = \(10m^2\)

Kristien's Age = \(2m^5\)

For Finding out the ratio of two numbers we simply divide them.

Let x be the ratio of Lauren's age to Kristen's age, = x  = \(\rm10m^2\)/\(\rm2m^5\).....(2)

On simplifying equation (2) we get

x = \(\rm5/m^3\)

So the ratio of Lauren's Age to Kristen's Age = \(\rm5:m^3\)

For more information please refer to the link below

https://brainly.com/question/21379025

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