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Mila [183]
3 years ago
13

A faucet drip 2/3 gallon h2o in 10 hrs. how much h20 drips per day. 1/15,5/18,1 3/5 or 6 2/3 gallons

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

Answer:

  1 3/5

Step-by-step explanation:

The drip rate can be written as a proportion, where d is the daily drip volume.

  (2/3 gal)/(10 h) = d/(24 h)

Multiplying by 24, we have ...

  d = (2/3 gal)·(24/10) = 48/30 gal = 1 3/5 gal

1 3/5 gallons of water drip per day.

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mestny [16]

Answer:

The coordinates of the point that is 1/5 the way from A to B  is (x,y) = (-5,\frac{26}{5})

Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume  the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM  : (AB - AM) = 1 : (5-1)  = 1: 4

⇒ AM  : MB  = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2}  )

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4}  )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} )  = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )

Hence, the coordinates of the point that is 1/5 the way

from A to B  is (x,y) = (-5,\frac{26}{5})

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