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Anastaziya [24]
2 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]2 years ago
5 0
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sdas [7]2 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
For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive term
elena55 [62]

Answer:

The no. of variations in sign is 3

Step-by-step explanation:

Variation in sign occurs when every single time a negative product is produced by a pair of consecutive terms.

Therefore, the determination of the number of changes in sign in the given sequence is must.

Therefore, we take the product of the pair of consecutive terms as:

1\times (-3) = - 3, variation in sign

(-3)\times 2 = - 6,  variation in sign

2\times 5 = 10,  no sign variation

5\times (- 4) = - 20,  variation in sign

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3 years ago
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2 years ago
5. Adam drives his car with an average velocity of 85 km/h eastward. How long will it take him to drive
NISA [10]

Answer:

x = 6.59 hrs = about 6 hours, 35 minutes

Step-by-step explanation:

Adam drives at 85 km / h. Let's set up equivalent fractions to see how long if he drives 560 km.

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Cross-multiply:

85x = 560

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7 0
2 years ago
The dimensions of a rectangle can be represented by
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Answer:

Its D. h(x) = 15x2 – 41x + 14

Step-by-step explanation:

Got it right on edge.

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3 years ago
Read 2 more answers
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