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ANTONII [103]
3 years ago
12

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it

in 7 hours. How long will it take to fill the vat if both pipes are left open
Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Answer:

  5 1/4 hours

Step-by-step explanation:

The rate of filling is 1/3 vats per hour. The rate of emptying is 1/7 vats per hour, so the net rate of filling is ...

  (1/3) -(1/7) = 4/21 . . . . vats per hour

Then for filling one vat, it will take an amount of time that is the inverse of this:

  21/4 = 5 1/4 . . . hours per vat

If both pipes are left open, the vat will fill in 5 1/4 hours.

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Angle BAC = Angle BAD

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Answer: Second option
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3 years ago
Write a polynomial that represents the shaded area of the figure below
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I hope this helps you

8 0
3 years ago
A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h cross wind blowing due eas
Ksju [112]

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

     v_{y} be the speed in North direction

So,

vₓ  = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ  = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and   v_{y}  = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + (v_{y})²

                            = √(21.76)² + (16.18)²

                            = √473.498 + 261.792

                            = √735.29 =  27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) =  tan^{-1}(0.74) = 36.5

⇒ Direction = 36.5° in NE(north of east)

7 0
2 years ago
Laurie has a signed contract with I- Mobile where she will pay a $25 fee each month plus $2 per phone call.
nikitadnepr [17]

Answer:

i dont know how your teacher teaches it but in the first question take away the y after the 25. number 2 the start equation would be 55=2x+25 then you would subtract 25 from each side to get 30=2x, the divide by to to get x=15 or she made 15 calls. number 3 is correct.

i hope this helps

8 0
11 months ago
1. *
julsineya [31]

Answer:

Her multiplication

Step-by-step explanation:

Not really an aexplanation

8 0
3 years ago
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