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Tcecarenko [31]
3 years ago
5

Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip,

and each barrel holds 12 quarts of wastewater. How many days are between each pickup? Show your work to receive full credit. (10 points)
Mathematics
1 answer:
dalvyx [7]3 years ago
8 0
(1 h)/(11 qt) * (12 qt)/(1 barrel) * (120 barrels/pickup) * (1 day)/(24 h)
.. = 12*120/(11*24) day/pickup
.. = 5 5/11 days/pickup

120 barrels will be filled every 5 5/11 days. Some trips will be 5 days apart, some trips will be 6 days apart.
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Answer:

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Step-by-step explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

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5x = 160

x = 160/5 = 32

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Angle ABC:

4x + 25 = 4 * 32 + 25 = 128 + 25 = 153

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Angle CBD:

x - 5 = 32 - 5 = 27

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We can confirm this by adding the 2 angles together. We should get 180 degrees.

153 + 27 = 180

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I hope this helps you




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