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Anastaziya [24]
3 years ago
10

It takes a hose 4 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 14 inches tall. How long will it take

the same hose to fill an aquarium measuring 29 inches by 30 inches by 32 inches?
Mathematics
2 answers:
Masja [62]3 years ago
5 0
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sdas [7]3 years ago
5 0

Answer:

110 minutes

Step-by-step explanation:

This is a volume question where we find the volume of each aquarium and work out per minute rate, here we can either divide the time amount given for per volume of the smaller tank back into the volume of the larger aquarium

- or find per minute first as shown below and divide per minute into total volume.

v / u  = t  

where v is volume

where u is our multiplier  one part and time found ie) 1 minute)

where t is total time

Smaller Tank

Volume = 8 x 9 x 14 = 1008 inch cube

Per minute rate = 1008/4 = 252 inch p/m

Larger Tank

Volume 29 x 30 x 32 = 27840 inch cube

Total minutes  27840 / 252 = 110.476190476 = 110 minutes 28 seconds.

or 110.47 minutes to 2 dp.

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3 years ago
A 10.0 kg and a 2.0 kg cart approach each other on a horizontal frictionless air track. Their
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the  final speed in m/s of the 10.0 kg is 2.53 m/s .

<u>Step-by-step explanation:</u>

Here we have , A 10.0 kg and a 2.0 kg cart approach each other on a horizontal friction less air track. Their  total kinetic energy before collision is 96 ). Assume their collision is elastic. We need to find What is the  final speed in m/s of the 10.0 kg mass if that of the 2.0 kg mass is 8.0 m/s . Let's find out:

We know that in an elastic collision :

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⇒ 96 = \frac{1}{2}M_1(v_1)^2 + \frac{1}{2}M_2(v_2)^2

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4 years ago
George is drawing the outside lines on a soccer field that is 96 feet by 120 feet. What is the total length of the line he will
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Answer:

432 feet

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