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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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Light can travel 1,339,200,000 miles in two hours. What is the speed of light in miles per hour?
Margarita [4]

Answer:

670 616 629 miles per hour?

Step-by-step explanation:

4 0
2 years ago
Adrian's CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD's, how man
EastWind [94]
To answer this problem, the utilization of the provided formula is of utmost importance.

The formula to be used would be for the combination with no repetition since it is what is asked and possibly happens when involving the products mentioned in the problem. The formula would be

      n!                                              where in
-------------                                                   n = number of things to choose from
(n - r)! r!                                                      r = number of things needed to form

the symbol ! is called a factorial function which replaces the sequence of multiplying a number in a descending order.

lets substitute and solve

      13!
--------------
(13 - 6)! 6!

      13!
-------------
   (7!) 6!

6,227,020,800
-------------------
  5,040 x 720

6,227,020,800
-------------------
    3,628,800

1,716

The answer would be 1,716.
6 0
3 years ago
Find the product of 2x^(2x2 + 3x + 4)
madam [21]
Answer- 4x⁶ + 6x⁵ + 8x⁴
7 0
2 years ago
Read 2 more answers
In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
2 years ago
Select all the sentences that can be represented by the equation 25+p=38 A.25 is more than 38 is p B.25 times as much as p is 38
Natasha2012 [34]

Answer:

Option C: 38 is p more than 25

Step-by-step explanation:

the equation 25 + p = 38

can be read as 38 is 25 plus p units, or similarly ;

38 is p units more than 25.

Therefore from the three sentences you are showing, only the last one (option C) is the correct one.

4 0
3 years ago
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