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MAXImum [283]
3 years ago
14

A tank can be filled by one pump in 50 minutes and by another in 60 minutes. A third pump can drain the tank in 75 minutes. If a

ll 3 pumps work simultaneously, how long will it take to fill the tank? (Answer in hours)
Mathematics
1 answer:
Deffense [45]3 years ago
4 0

let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.

next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.

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2.
abruzzese [7]

Answer:

  a) 30 kangaroos in 2030

  b) decreasing 8% per year

  c) large t results in fractional kangaroos: P(100) ≈ 1/55 kangaroo

Step-by-step explanation:

We assume your equation is supposed to be ...

  P(t) = 76(0.92^t)

__

a) P(10) = 76(0.92^10) = 76(0.4344) = 30.01 ≈ 30

In the year 2030, the population of kangaroos in the province is modeled to be 30.

__

b) The population is decreasing. The base 0.92 of the exponent t is the cause. The population is changing by 0.92 -1 = -0.08 = -8% each year.

The population is decreasing by 8% each year.

__

c) The model loses its value once the population drops below 1/2 kangaroo. For large values of t, it predicts only fractional kangaroos, hence is not realistic.

  P(100) = 75(0.92^100) = 76(0.0002392)

  P(100) ≈ 0.0182, about 1/55th of a kangaroo

5 0
3 years ago
X + 5 = 24 whar values can be substituted for x to make the equation true​
levacccp [35]

Answer:

x=19

Step-by-step explanation:

24-5=19

8 0
2 years ago
Read 2 more answers
What is the factor of 18x4-14x3+10x2?<br> how do you solve it po?, medyo confused lang
neonofarm [45]

Please find attached photograph for your answer.

8 0
2 years ago
Which number would make the statement true? (1 point)
Solnce55 [7]

Answer:

0.397

Step-by-step explanation:

Hope this helps!❆

6 0
2 years ago
Read 2 more answers
A recipe calls for one cup of juice concentrate for 4 cups of water. How many cups of concentrate are needed if 1 cup of water i
Mekhanik [1.2K]

Answer:

1/4 cups of juice

Step-by-step explanation:

1 cup of juice --- 4 cups of water

x cups of juice --- 1 cup of water

1/x = 4/1

1/x = 4

x = 1/4

3 0
3 years ago
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