Respuesta :
Answer: c = 6
Step-by-step explanation:
%/100 = is/of
14/100 = 7/a. (14% of what number is 7) (cross multiplication)
(7*100)/14 = 50 (a)
6/100 = 18/b
(18*100)/6 = 300 (b)
b/a = 300/50 = 6
Pattern is a rule that guides the formation of a dataset. Based on the given patterns of a and b, the value of c is 6
Given that:
[tex]7 = 14\% \times a[/tex]
[tex]18 = 6\% \times b[/tex]
Make a the subject in [tex]7 = 14\% \times a[/tex]
[tex]a=7 \div 14\%[/tex]
[tex]a = 50[/tex]
Make b the subject in [tex]18 = 6\% \times b[/tex]
[tex]b = 18 \div 6\%[/tex]
[tex]b = 300[/tex]
Given that:
[tex]c = \frac ba[/tex]
Substitute values for a and b
[tex]c = \frac{300}{50}[/tex]
[tex]c = 6[/tex]
Hence, the value of c is 6
Read more about patterns at:
https://brainly.com/question/13382968