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photoshop1234 [79]
3 years ago
5

Nine fewer than half a number is five more than four times the number. Define a variable, write an equation, solve the number.

Mathematics
1 answer:
zmey [24]3 years ago
5 0
N = the number

\frac{1}{2}n - 9=4n+5 \\ ( \frac{1}{2}n  -  \frac{1}{2}n)-9=(4n- \frac{1}{2}n)+5 \\ -9=3.5n+5 \\ (-9-5)=3.5n+(5-5) \\ -14=3.5n \\  \frac{-14}{3.5} =  \frac{3.5n}{3.5} \\ -4=n

The number is -4
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geniusboy [140]

Answer:

m∠Q ≈ 53°

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Misha Larkins [42]

Answer:

661.4\ rpm

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substitute

C=2\pi(15)

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using proportion find the number of revolutions  

\frac{1}{94.2}\frac{rev}{in}=\frac{x}{62,304}\frac{rev}{in}\\ \\x=62,304/94.2\\ \\x=661.4\ rev

therefore

substitute

62,304\ in/min=661.4\ rev/min=661.4\ rpm

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