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german
3 years ago
7

t=" \frac{5}{8} \times 4" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Vsevolod [243]3 years ago
6 0

Answer:

The result is

\frac{5}{2}

Or

2.5

Step-by-step explanation:

We want to simplify

\frac{5}{8}  \times 4

We know that 4 goes into 8 twice.

This implies that:

\frac{5}{8}  \times 4 =  \frac{5}{2}

We can convert the result into decimals as follows:

\frac{5}{2}  =  \frac{25}{10}  = 2.5

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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
Which is greater 0.01 or 0.6??
AysviL [449]

i am pretty sure it is 0.6

8 0
4 years ago
Read 2 more answers
What is the first step in solving 2x=y X+y=30
Vanyuwa [196]

Answer: x = 10 y=20

Step-by-step explanation:

You can answer this question by plugging in each equation:

2x=y, x+y=30. Let us plug y as 2x in the second equation x+y=30

x+2x= 30

3x= 30

x=10

After we found x we can then find y by plugging the 10 for x.

2(10) = y

y =20

or you could plug in the other equation

10+y=30

subtract 10 from 30 and we get 20

to double check we can plug in both numbers

2(10) = 20 which is correct

and 10 + 20 = 30 which is correct

8 0
3 years ago
Are the ratios 1 : 3 and 3 : 1 equivalent? Why or why not?
Rainbow [258]

Answer: no

Step-by-step explanation:

no. one is the fraction 1 / 3 and the other is the fraction 3 / 1

6 0
3 years ago
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