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Ivan
4 years ago
12

Jake can swim 1/3 of a lap in 1/6 of a minute. How many laps can he swim in 3 1/2 minutes? Show All Work!

Mathematics
1 answer:
Stels [109]4 years ago
7 0
Divide to see how many laps he can swim in one minute, then multiply that by 3 1/2 to see how many laps he can swim in 3 1/2 minutes.

\sf\dfrac{1}{3}\div\dfrac{1}{6}

You can multiply by the reciprocal.

\sf\dfrac{1}{3}\times\dfrac{6}{1}

\sf\dfrac{6}{3}

\sf 2
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Answer:

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Step-by-step explanation:

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3 years ago
A ceiling fan with 16-in. blades rotates at 45 rpm.
Kobotan [32]

A. We're told the fan completes 45 full revolutions every minute. One full revolution is 2\pi\,\mathrm{rad}, so the fan has an angular speed of

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B. Throughout one full revolution of the fan, a point at the tip of one of the fan's blades travels the circumference of a circle with radius 16 in. The circumference is then 2\pi(16\,\mathrm{in})=32\pi\,\mathrm{in}. This means the linear speed is

\dfrac{32\pi\,\mathrm{in}}{1\,\mathrm{rev}}\cdot\dfrac{45\,\mathrm{rev}}{\mathrm{min}}=1440\pi\,\dfrac{\rm{in}}{\rm{min}}

8 0
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A lamp manufacturer has daily production costs of C = 0.25n2 – 10n + 800, where C is the total cost in dollars for n lamps produ
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