Ike notices an interesting pattern; he sees that 7 is 14% of a and 18 is 6% of b. If c is b/a, then what is the value of c? ​

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

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