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Phoenix [80]
3 years ago
14

A Ferris wheel can accommodate 65 people in 15 minutes. How many people could ride the Ferris wheel in 2 hours? What was that ra

te per hour?
Mathematics
1 answer:
densk [106]3 years ago
5 0

Answer:

520 people in 2 hours

rate = 260 people per hour

Step-by-step explanation:

change minutes to hours

15 minute* 1 hr/60 minutes = .25 hrs

65 people      x people

---------------  = ------------------

.25 hrs            2 hrs


using cross products

65 * 2 = .25 * x

130 = .25x

divide by .25

130/.25 = .25x/.25

520 =x

520 people

65 people      x people

---------------  = ------------------

.25 hrs            1 hrs

using cross products

65 = .25x

divide by .25

65/.25 = .25x/.25

260 =x

260 people in 1 hour

rate = 260 people per hour

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1. There are 10 people in a math club. Three people will be chosen for the Pi Day committee. How many different ways can club me
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Step-by-step explanation:

From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.

The number of different ways that the club members can structure the committee goes thus:

This can be solved by:

nCr = n! / r! (n - r)!

where n = 10

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= n! / r! (n - r)!

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3 0
2 years ago
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Lady_Fox [76]

Answer:

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pashok25 [27]

Answer:

\frac{dN}{dt}=k(725-N)\\separating the variables and integrating\\\int \frac{dN}{725-N}=\int kdt+c\\-log (725-N)=kt+c\\log (725-N)=-kt-c\\(725-N)=e^{-kt-c} =e^{-kt} *e^{-c} =Ce^{-kt} \\when t=0,N=400\\725-400=Ce^{0} =C\\C=325\\when t=3,N=650\\725-650=325e^{-3k} \\\frac{75}{325}=(e^{-k})^3\\\\e^{-k} =(\frac{3}{13}) ^{\frac{1}{3} } \\when t=5\\725-N=325(\frac{3}{13}) ^{\frac{5}{3} } =325*\frac{3}{13}*(\frac{3}{13} )^{\frac{2}{3}}\\N=725-75*(\frac{3}{13} )^{\frac{2}{3} }=725-28=697

Step-by-step explanation:

6 0
3 years ago
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