Given:
Consider the below picture attached with this question.
The given expression is:
![\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}](https://tex.z-dn.net/?f=%5Cdfrac%7B9m%5E2%7D%7B3m%7D-%5Cdfrac%7B4m%7D%7B3m%7D-%5Cdfrac%7B6%7D%7B3m%7D)
To find:
The next step.
Solution:
We have,
![\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}](https://tex.z-dn.net/?f=%5Cdfrac%7B9m%5E2%7D%7B3m%7D-%5Cdfrac%7B4m%7D%7B3m%7D-%5Cdfrac%7B6%7D%7B3m%7D)
Cancel out the common factors.
![=3m-\dfrac{4}{3}-\dfrac{2}{m}](https://tex.z-dn.net/?f=%3D3m-%5Cdfrac%7B4%7D%7B3%7D-%5Cdfrac%7B2%7D%7Bm%7D)
Therefore, the correct option is D.
Answer:The prime factorization of 196 is 196 = 2 × 2 × 7 × 7 and can be represented as 196 = 2 2 × 7 2 using exponents.
Step-by-step explanation:
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Answer:
Length = 14, Width = 7
Step-by-step explanation:
Step 1:
Length + Length + Width + Width = Perimeter
Step 2:
2w + 2w + w + w = 42
Step 3:
6w = 42
Step 4:
w = 7
Step 5:
7 × 2 = 14
i hope this helps you. :)
Answer:
Final answer is $4440.
Step-by-step explanation:
Let amount of money invested in 8% stock = x
Let amount of money invested in 6% stock = y
then total money invested $325.6 gives equation
8% of x + 6% of y = 325.6
0.08x + 0.06y = 325.6
8x + 6y = 32560...(i)
other equation will be x=2y...(ii)
plug (ii) into (i)
8x + 6y = 32560
8(2y) + 6y = 32560
16y+ 6y = 32560
22y = 32560
![y=\frac{32560}{22}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B32560%7D%7B22%7D)
y=1480
plug y=1480 into (ii)
x=2y=2(1480)=2960
Then total money invested in stocks = x+y= 1480+2960=4440
Hence final answer is $4440.
Step-by-step explanation:
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