Calculate the unit rate:write your answer as a decimal 1/2 mile in ever 1/3 hour

Mathematics

1 answer:

Alexandra [31]2 years ago

7 0

Answer:

$unit \: rate = \frac{distance}{time}$

unit rate is similar to speed / velocity:

$unit \: rate = \frac{ (\frac{1}{2} )}{ (\frac{1}{3})} \\ \\ = \frac{1}{2} \div \frac{1}{3} \\ \\ = \frac{1}{2} \times \frac{3}{1} \\ \\ = > { \boxed{ \boxed{unit \: rate = \frac{3}{2} \: miles \: per \: hour}}}$

[unit rate must have units including per <time> ]

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Afina-wow [57]

Answer:

$\text{D. The terms may be combined.}$

Step-by-step explanation:

Recall that $\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}$ . Using this, we can simplify and combine the two terms:

$6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}$ . Therefore, the terms may be combined.