Respuesta :

Answer:

[tex]1) \frac{2}{x} = \frac{100}{15} [/tex]

[tex]2) \frac{5}{35} = \frac{1}{a} [/tex]

[tex]3) \frac{2}{8} = \frac{g}{4} [/tex]

[tex]4) \frac{x}{10} = \frac{ - 30}{100} [/tex]

[tex]5) \frac{12}{k} = \frac{4}{1} [/tex]

Step-by-step explanation:

Let us solve each proportion.

[tex] \frac{x}{10} = \frac{ - 30}{100} \\ \\ \frac{ - 300}{ \: \: \: 100} = \frac{100x}{100} \\ \\ -3 = x[/tex]

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[tex] \frac{5}{35} = \frac{1}{a} \\ \\ \frac{35}{5} = \frac{5a}{5} \\ \\ 7 = a[/tex]

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[tex] \frac{2}{x} = \frac{100}{15} \\ \\ \frac{ \: \: \: 100x}{100} = \frac{30}{100} \\ \\ x = 0.3[/tex]

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[tex] \frac{12}{k} = \frac{4}{1} \\ \\ \frac{4k}{4} = \frac{12}{4} \\ \\ k = 3[/tex]

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[tex] \frac{2}{8} = \frac{g}{4} \\ \\ \frac{8g}{8} = \frac{8}{8} \\ \\ g = 1[/tex]

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Now let's see which one fits with each box.

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