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nikitadnepr [17]
3 years ago
13

What is the Greatest common factor of 18x^2 and 36x

Mathematics
1 answer:
adoni [48]3 years ago
6 0

For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.

So, we have to:

We look for the factors of 18 and 36:

18: 1,2,3,6,9,18

36: 1, 2,3,4, 6,9,18 ...

It is observed that the GFC of both numbers is 18.

Then, the GFC of 18x ^ 2 and 36x is:

18x

Answer:

18x

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If (x)=3x-1 and s(x)=2x+1, which expression is equivalent to r over s (6) ?
katrin [286]

Answer:

\large\boxed{\dfrac{3(6)-1}{2(6)+1}}

Step-by-step explanation:

\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\text{We have}\\\\f(x)=3x-1,\ g(x)=2x+1\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3x-1}{2x+1}\\\\\left(\dfrac{f}{g}\right)(6)\to\text{put x = 6 to the equation of the function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(6)=\dfrac{3(6)-1}{2(6)+1}

6 0
2 years ago
Max walks 6 laps around the track in 30 minutes. How many laps around the track does Max walk in 1 minute
Sunny_sXe [5.5K]

Answer:5

Step-by-step explanation:

6:30 is the ration

6/30 reduced is 1/5

1:5

so its 5

3 0
3 years ago
A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed
RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0
2 years ago
If the difference of a number and four is doubled the result is 1/4 less than the number. find the number
sukhopar [10]
The formula is  (2)(n-4) = n-1/4

Mult both sides by 4: 

                         8n - 32 = 4n -1, or 4n = 31, or n=31/4.

If this is not what you expected, please ensure that you have copied down the original problem correctly.  What do you mean by "1/4 less?"

Let's try    (2)(n-4) = 1n-(1/4)n = (3/4)n.  Then,

2n-8 = (3/4)n, or (5/4)n = 8.  Mult. both sides by (4/5), we get:

n = (5/4)(8) = 10.  Is that what you were hoping for?

8 0
3 years ago
I need help ASAP ?!?!?!?!?!
kotegsom [21]
I am doing the same thing
4 0
3 years ago
Read 2 more answers
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