IM 8.7.12 Practice: Applications of Arithmetic with Powers of 10

[size=150]Which is larger: the number of meters across the Milky Way, or the number of cells in all humans? Explain or show your reasoning.[/size][br]Some useful information:[list][*]The Milky Way is about 100,000 light years across.[/*][*]There are about 37 trillion cells in a human body.[/*][*]One light year is about [math]10^{16}[/math] meters.[/*][*]The world population is about 7 billion.[/*][/list]
Ecologists measure the body length and wingspan of 127 butterfly specimens caught in a single field. Draw a line that you think is a good fit for the data.
Write an equation for the line.
What does the slope of the line tell you about the wingspans and lengths of these butterflies?
[size=150]Diego was solving an equation, but when he checked his answer, he saw his solution was incorrect. He knows he made a mistake, but he can’t find it. Where is Diego’s mistake and what is the solution to the equation?[/size][br][br][math]\displaystyle \begin{align} \text-4(7-2x)=3(x+4)\\ \text-28-8x=3x+12\\ \text-28=11x+12\\ \text-40=11x\\ \text{-}\frac {40}{11}=x\ \end{align}[br][/math]
The two triangles are similar. Find x.
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Information: IM 8.7.12 Practice: Applications of Arithmetic with Powers of 10