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lbvjy [14]
3 years ago
11

The greatest common factor of 3m^2n+12mn^2 is

Mathematics
1 answer:
shutvik [7]3 years ago
7 0
3m²n + 12mn²
3mn(m) + 3mn(4n)
3mn(m + 4n)

The GCF of this expression is 3mn.
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Please answer this mathematical problem.
n200080 [17]

x = total amount of gumballs

let's start subtracting the balls she's giving away

\stackrel{total}{x}-\stackrel{\textit{to jaysen}}{\cfrac{x}{2}}\implies \stackrel{\textit{what's left}}{\cfrac{x}{2}}~\hfill \stackrel{\textit{half of what's left to Marinda}}{\cfrac{~~ \frac{x}{2}~~}{2}\implies \cfrac{x}{4}} \\\\\\ \stackrel{\textit{what was left minus Marinda's}}{\cfrac{x}{2}-\cfrac{x}{4}\implies \stackrel{\textit{what's left}}{\cfrac{x}{4}}}~\hfill ~\hfill \stackrel{\textit{a third of what's left to Zack}}{\cfrac{~~ \frac{x}{4}~~}{3}\implies \cfrac{x}{12}}

\stackrel{\textit{what was left minus Zack's}}{\cfrac{x}{4}-\cfrac{x}{12}\implies \stackrel{\textit{what's left}}{\cfrac{x}{6}}}~\hfill \stackrel{\textit{her sister gets 5 balls of what's left}}{ \cfrac{x}{6}-5 }

and we also know that after all that has been subtracted, she's only left with 5, so we can say that

\stackrel{\textit{what's finally left}}{\cfrac{x}{6}-5}~~ = ~~\stackrel{\textit{what's finally left}}{5}\implies \cfrac{x}{6}=10\implies \boxed{x = 60}

5 0
2 years ago
Write an equation in slope-intercept form for a line that passes through the point (1, 6) and
Mars2501 [29]

Answer:

y=2x+4

Step-by-step explanation:

If the line has a slope of two, that means it goes up 2 on the y axis for every 1 on the x axis. So, if it goes through (1,6), then you can subtract 1 from the x axis and two from the y axis to find the y intercept, (0,4).

5 0
3 years ago
What is the difference between centroid orthocentre and circumcentre​
Sergeu [11.5K]

Answer:

centroid- the point of concurrency of the <em>medians.</em>

<em />

orthocenter- the point of concurrency of the <em>altitudes.</em>

<em />

circumcenter- the point of concurrency of the <em>perpendicular bisectors.</em>

<em />

hope this helps :)

3 0
3 years ago
m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?
Neko [114]

We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.

∠WYX and ∠WYZ are complementary.

We know, sum of complementary angles is = 90°.

So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.

m∠WYX + m∠WYZ = 90°.

Plugging values of ∠WYX and ∠WYZ in the above equation, we get

(2x−1)° + (4x+1)° = 90°.

Removing parentheses from both sides,

2x-1 + 4x+1 =90.

Combining like terms,

2x+4x= 6x and -1+1 =0

6x +0 =90.

6x=90.

Dividing both sides by 6.

6x/6 =90/6

x= 15.

Plugging value of x=15.

m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29

m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.

Therefore, ∠WYX=29° and ∠WYZ=61°.



5 0
4 years ago
Will upvote:
suter [353]
The value of 1.008 expressed as a mixed number would be 1 and 8/1000, as the value of 8 is in the thousandths position.
3 0
3 years ago
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