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alisha [4.7K]
4 years ago
6

To prepare a batch of cookies a factory uses 4/5 barrels of oatmeal in each batch. The factory used 4 4/5 barrels of oatmeal on

Monday.
Mathematics
1 answer:
babymother [125]4 years ago
6 0

Answer:

Step-by-step explanation:

4 4/5= 24/5  24/5\4/5=6/5= 1/15

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A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po
Mariana [72]

Answer:

The work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

Step-by-step explanation:

The work is defined by:

W=\int dFdx (1)    

The force here will be the product between the volume and the kerosene weighing, so we have :

dF=\pi R^{2}dy*50

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)

W=450\pi \int_{0}^{8}dy(8-y)

W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)

W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})  

W=450\pi(8*8 -\frac{8^{2}}{2})

W=450\pi(64 -\frac{64}{2})

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

I hope it helps you!  

6 0
3 years ago
The sum of two numbers is 136. the difference of the same two numbers is 28.what are the two numbers
denis23 [38]
The larger number is 82 and the smaller number is 54.
8 0
3 years ago
Drag a statement or reason to each box to complete this proof.<br><br><br><br> If 4x+5=17, then x=3.
natita [175]

Statement                          Reason

1) 4x + 5 = 17                    Given

2) 4x + 5 - 5 = 17 - 5         Subtraction property of equality

3) 4x = 12                         Simplifying

4) 4x/4 = 12/4                   Division property of equality

5) x = 3                             Simplifying

6 0
3 years ago
Read 2 more answers
How do you solve 34.86 x 1.2?
Nezavi [6.7K]

Answer: 41.832

Step-by-step explanation:

I like to write decimals without decimals when multiplying. for this I would do  

3486 x 12 which equals 41832 then You would move the decimal up from 3 spaces from the 2 from 41832 which would put the decimal between the 1 and 8

3 0
3 years ago
A rectangular play area is 8 yards long. The expression 56+8x represents the area of the play area in square yards. What express
VikaD [51]

Answer:

w = 7 + x

Step-by-step explanation:

The formula for the area of a rectangle is

A = lw

56 + 8x = 8w

Divide both sides by 8

w = 7 + x

4 0
4 years ago
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