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if on a scale drawing 15 ft are represented by 10 in then a scale of 1/10 in represents how many ft

Sagot :

Let be "x" the length in feet represented by a scale drawing of:

[tex]\frac{1}{10}in[/tex]

You can write the given fraction as a Decimal number. To do this, you only need to divide the numerator by the denominator. Then:

[tex]\frac{1}{10}in=0.1in[/tex]

Based on the information given in the exercise, you can set up the following proportion:

[tex]\frac{15}{10}=\frac{x}{0.1}[/tex]

Now you must solve for "x" in order to find its value. This is:

[tex]\begin{gathered} (0.1)(\frac{15}{10})=x \\ \\ \frac{1.5}{10}=x \\ \\ x=0.15 \end{gathered}[/tex]

The answer is:

[tex]0.15ft[/tex]