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2 years ago

If Logan's family can drive 23 1/8 miles on 1 gallon of gas,how far can they drive on 17 gallons

1 answer:

4 0

$\bf \begin{array}{ccll} miles&\stackrel{gas}{gallons}\\ \cline{1-2}\\ 23\frac{1}{8}&1\\\\ x&17 \end{array}\implies \cfrac{23\frac{1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{23\cdot 8+1}{8}}{x}=\cfrac{1}{17}\implies \cfrac{\frac{185}{8}}{x}=\cfrac{1}{17} \\\\\\ \cfrac{\frac{185}{8}}{\frac{x}{1}}=\cfrac{1}{17}\implies \cfrac{185}{8}\cdot \cfrac{1}{x}=\cfrac{1}{17}\implies \cfrac{185}{8x}=\cfrac{1}{17} \\\\\\ 3145=8x\implies \cfrac{3145}{8}=x\implies 393\frac{1}{8}=x$

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3 years ago

The average daily high temperature in Seattle is modeled by the function T = –15 cos(πm/6)+ 61, where T is the temperature in °F

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Answer:

$m = 6$

Step-by-step explanation:

$T = -15cos(\frac{\pi m}{6}) +61$

$76 = -15cos(\frac{\pi m}{6}) +61$

$76-61 = -15cos(\frac{\pi m}{6})$

$15 = -15cos(\frac{\pi m}{6})$

$\frac{15}{-15} = cos(\frac{\pi m}{6})$

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$6\pi = \pi m$

$m = 6$

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2 years ago

A student said thst the distance between (-5,7) and (3,7) is 2 units<br>is the student correct?

Usimov [2.4K]

No.

The distance is |-5 -3| = 8 units. (Y-coordinates are the same, so the distance is measured entirely in the x-direction. Distance is non-negative.)

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3 years ago

What is the GCF of 35 and 42

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The greatest common factor of 35 and 42 is 7

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3 years ago

Read 2 more answers

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Option d