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adell [148]
2 years ago
7

Twelve cupcakes cost $14.25. What is the price per cupcake? Round to the nearest cent.

Mathematics
2 answers:
Hatshy [7]2 years ago
5 0
$1.19 is the answer 14.25 divided by 12= 1.18
DiKsa [7]2 years ago
3 0

Answer:

$1.19

Step-by-step explanation:

14.25/12=1.19

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A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

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b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

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Step-by-step explanation:

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Step-by-step explanation:

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Dvinal [7]

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