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cestrela7 [59]
2 years ago
6

Nancy left a bin outside in her garden to collect rainwater. She notices that 1/2 gallon of water fills 2/3 of the bun. Write an

d solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
Mathematics
2 answers:
yKpoI14uk [10]2 years ago
8 0

Answer:

¾

Step-by-step explanation:

Let,

Amount od water that will be filled in the entire bin = a

Then,

Equation = 1/2 = 2a/3

1/2 = 2a/3

1/2 × 3/2 = a

3/4 = a

Hence,

3/4 is the correct answer

Eva8 [605]2 years ago
6 0

Answer:

  • 3/4 gallons

Step-by-step explanation:

Let the capacity of the bin is x gallons.

1/2 gallon is 2/3 of x

<u>Convert this into equation and solve for x:</u>

  • 1/2 = 2/3x
  • x = 1/2 : 2/3
  • x = 1/2 * 3/2
  • x = 3/4

3/4 gallons of water will fill the bin

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what is an equation of the line that s perpendicullar to y-3=-4(x+2) and passes through the point (-5,7)
Sidana [21]

Answer:

4y=x+33

y=x/4+33/4 (slope-intercept form)

Step-by-step explanation:

y-3 = -4(x+2)

y-3 -4x-8

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For perpendicularity

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The equation is

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y-7 = 1/4(x-(-5))

y-7 = x/4+5/4

Multiply through by 4

4y-28=x+5

4y=x+5+28

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Divide through by 4

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Answer:

No it is not satisfied

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