Answer: 12
<u>Step-by-step explanation:</u>
The LCM of 48 and 28 is 336
It would take 336 ÷ 28 = 12 revolutions of gear B
and 336 ÷ 48 = 7 revolutions of gear A
to match up the arrows.
Answer:
225 liters
Step-by-step explanation:
If it takes 40 pounds to make 3 pounds of olive oil, we set up this equation:
40 times what equals 3000?
Then, we multiply 3 by the number that we are looking for.
So, we do 3000 / 40 = 75 to get the number.
Then, we do 3 * 75 = 225.
Therefore, 3000 pounds of olives makes 225 liters of olive oil..
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ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!
Suppose
is another solution. Then

Substituting these derivatives into the ODE gives


Let
, so that

Then the ODE becomes

and we can condense the left hand side as a derivative of a product,
![\dfrac{\mathrm d}{\mathrm dx}[x^5u]=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E5u%5D%3D0)
Integrate both sides with respect to
:
![\displaystyle\int\frac{\mathrm d}{\mathrm dx}[x^5u]\,\mathrm dx=C](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E5u%5D%5C%2C%5Cmathrm%20dx%3DC)

Solve for
:

Solve for
:

So another linearly independent solution is
.
The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
<h3>What is a distributive property?</h3>
The distributive Property is one that connote the fact that if a factor is said to be multiplied by the sum or the addition of two terms, it is vital to multiply all of the two numbers by using the factor, and lastly carry out the addition operation.
Hence, The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
Learn more about distributive property from
brainly.com/question/2807928
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