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KiRa [710]
3 years ago
15

A slushy machine fills 25 containers that hold 64 oz of liquid in a day. how many quarts is this?

Mathematics
2 answers:
skad [1K]3 years ago
8 0

Answer:

50 quarts

Step-by-step explanation:

64oz*25=1600oz

1600oz/32=50q

(32oz in each quart)

abruzzese [7]3 years ago
8 0
Your answer would be 50 quarts
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X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
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Answer:

a). Center of the circle = (-2, 5)

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Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

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    Slope of the line joining this point to the center (-2, 5),

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          = \frac{10-5}{2+2}

          = \frac{5}{4}

    Let the slope of the tangent which is perpendicular to this line is 'm_{2}'

    Then by the property of perpendicular lines,

          m_{1}\times m_{2}=-1

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                 m_{2}=-\frac{4}{5}

   Now the equation of the line passing though (2, 10) having slope m_{2}=-\frac{4}{5}

           y - y' = m_{2}(x-x')

           y - 10 = -\frac{4}{5}(x-2)

           y - 10 = -\frac{4}{5}x+\frac{8}{5}

                  y = -\frac{4}{5}x+\frac{8}{5}+10

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Therefore, equation of the line will be, y = -\frac{4}{5}x+\frac{58}{5}

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