Compare A and B in three ways, where A=51,171 is the number of deaths due to a deadly disease in the United StatesKin 2005 and B = 17,745 is the number of deaths due to the same disease in the United States in 2009.a. Find the ratio of A to B.b. Find the ratio of B to A.c. Complete the sentence: A ispercent of B.a. The ratio of A to B is.(Type an integer or decimal rounded to two decimal places as needed.)

Respuesta :

Given: Two numbers, A and B, are given as-

[tex]\begin{gathered} A=51,171 \\ B=17,745 \end{gathered}[/tex]

Required: To determine the ratio of A to B.

Explanation: The ratio of two numbers is determined by dividing the numbers. Thus, the ratio of A to B is A/B, written as A:B, and can be calculated as follows-

[tex]\begin{gathered} A:B=\frac{A}{B} \\ =\frac{51171}{17745} \end{gathered}[/tex]

Further simplifying it in the simplest form as-

[tex]\begin{gathered} A:B=\frac{3(17057)}{3(5915)} \\ =\frac{17057}{5915} \\ =17057:5915 \end{gathered}[/tex]

Or, in decimal, we can write the ratio as-

[tex]A:B=2.88:1[/tex]

Final Answer: The ratio is-

[tex]A:B=17057:5915[/tex]