Respuesta :

Answer:

1/9

Step-by-step explanation:

When the quantities are proportional, you are able to find the constant of proportionality by y/x.  If you take each one of the y's listed and divide it by x, you will get 1/9.

For example 1 2/9 ÷11

1 2/9 is the same at 9/9 + 2/9 or 11/9

[tex]\frac{11}{9}[/tex] ÷ 11 is the same as [tex]\frac{11}{9}[/tex] ÷ [tex]\frac{11}{1}[/tex] To divide with fractions, you multiply by the reciprocal.

[tex]\frac{11}{9}[/tex] x [tex]\frac{1}{11}[/tex] The 11 can cancel out and we are left with [tex]\frac{1}{9}[/tex]

hninpapawadisoe09

Answer: r = [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

y = rx

finding r (substitute y and x):

5 = r x 45

5/45 = r

r = [tex]\frac{5}{45} = simplify = \frac{1}{9}[/tex]

checking:

rx = y

   [tex]\frac{1}{9}[/tex] x 11 = 1 [tex]\frac{2}{9}[/tex]

[tex]\frac{11}{9}[/tex] = 1 [tex]\frac{2}{9}[/tex]

convert mixed fraction into improper fraction

[tex]\frac{11}{9}[/tex] = [tex]\frac{11}{9}[/tex]

correct

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