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Leya [2.2K]
3 years ago
6

 please answer ASAP, also, who ever answers if first and has the best explination and work will get the BRAINLIEST crown, and a

thanks
Ames left a bin outside in his garden to collect rainwater. He notices that 1 over 4 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Volume of 1/4 gal

= Volume of 2/3 bin


Volume(x gal)

= Volume( 1 bin)


So, (1/4)/(2/3)

= x/1


(1/4)/(2/3)

= x



(1/4)/(3/2)

x = 3/8 (Total balance required to fill the entire bin)




In order to fill the bin, the additional gallons need to be added to the initial 1/4 gallon



Therefore, 3/8 - 1/4 = 1/8 gallons










Hope that helps!!!!



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3.11 X 10 = -31.1, in decimal form -3.11 x 10^ 1

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from left to right 4,20,25,20

Step-by-step explanation:

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3 years ago
you have $895 in your checking account and write checks for $669, plus take $100 in cash out of your account. How much do you ha
Scilla [17]
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3 years ago
For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0
3 years ago
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