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USPshnik [31]
2 years ago
9

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}}}

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

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1. \: 3i

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9. option C

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Step-by-step explanation:

<h2>1. \:  \sqrt{ - 9}</h2>

\sqrt{ - 1(9)}

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<h2>2. \:  \sqrt{ - 8}</h2>

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\sqrt{ - 1}  \times  \sqrt{8}

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<h2>3. \:  \sqrt{ - 80}</h2>

\sqrt{ - 1}  \times  \sqrt{80}

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4i \:  \sqrt{5}

<h2>4. \:  \sqrt{ - 75}</h2>

\sqrt{ - 1}  \times   \sqrt{75}

i \times  \sqrt{75}

i \times  \sqrt{ {5}^{2} \times 3 }

5i \sqrt{3}

<h2>5. \:  \sqrt{ - 72}</h2>

\sqrt{ - 1}  \times  \sqrt{72}

i \times  \sqrt{72}

i \times ( {6}^{2}  \times 2)

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<h2>6.  \sqrt{ - 20}</h2>

\sqrt{ - 1}  \times  \sqrt{20}

i \times  \sqrt{20}

i \times  \sqrt{ {2}^{2}  \times 5}

2i \sqrt{5}

<h2>7. \:  \sqrt{ - 27}</h2>

\sqrt{ - 1}  \times  \sqrt{27}

i \times  \sqrt{27}

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3i \sqrt{3}

<h2>8. \:  \sqrt{ - 12}</h2>

\sqrt{ - 1 \times 12}

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<h2>9. \:  \sqrt{ - 125}</h2>

\sqrt{ - 1}  \times  \sqrt{125}

i \times  \sqrt{ {5}^{2} \times 5 }

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<h2>10. \:  \sqrt{ - 180}</h2>

\sqrt{ - 1}  \times  \sqrt{180}

i \times  \sqrt{ {6}^{2} \times 5 }

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<h3>Hope it is helpful...</h3>
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