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faltersainse [42]
2 years ago
13

Simplify ¼(8m-4n) + ⅓(6m+3n)?

Mathematics
1 answer:
grandymaker [24]2 years ago
7 0

Answer: 4m

Step-by-step explanation:

1/4(8m-4n)+1/3(6m+3n)     given

2m-1n+2m+1n                      distribute (1n is just n)

4m-n+n                                 add 2m and 2m (add like terms)

4m                                         the n's cancel out and leave 4m (add like terms)

Hope this helps!

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Graph the inequality 3x+y≥-7
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Answer:

x≥ -7 x -y/3

Step-by-step explanation:

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Answer: B. Exponential. There is a constant rate of decay or decrease. 

The y-values decrease by 1/4 of the number that comes before every time. 
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Answer:

I got 40210.1

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6 0
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Kelsey solved the following equation:
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Answer:

  (a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality

Step-by-step explanation:

Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.

_____

<em>Additional comment</em>

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.

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2 years ago
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