Step-by-step explanation:
DG is the total measurement of the line. M is a point inbetween D & G
2x + x - 2 = 7
Simplify. Combine likke terms
(2x + x) - 2 = 7
3x - 2 = 7
Isolate the x. First, add 2 to both sides
3x - 2 (+2) = 7 (+2)
3x = 9
Isolate the x. Divide 3 from both sides
(3x)/3 = (9)/3
x = 9/3
x = 3
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3 is your answer for x
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~<em>Where the Good Way Lies, Hope Unfolds</em>
 
        
             
        
        
        
Answer: There are 9 different types of note cards that the store sells.
We can use the Fundamental Counting Principle to determine the total number of options.
There are two different events in this problem. First, there are 3 kinds of cards. Second, there are 3 sizes for each kind.
Simply, multiply the 3 by the other 3 and you have 9 different options.
Just think, each card would have a small, medium and larger option. So there are 3 groups of 3 or 9 total options.
        
             
        
        
        
Hi student, let me help you out! :)
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We are asked to find the G.C.F. of 8x-6.

-  G.C.F. stands for Greatest Common Factor.
So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:
 1, 2, 4, 8, x
 1, 2, 4, 8, x
 -1, 1, 2, -3, 3, -6, 6
 -1, 1, 2, -3, 3, -6, 6
So the GCF is:
2
Now, we can also factor it out by placing it outside the parentheses ():
2(4x-3)
See, we factored it out by dividing both terms of the expression by the G.C.F.
 Remember this...
 Remember this...

Hope this helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students :)
 
        
             
        
        
        
54/2 or 27 should be the answer
        
             
        
        
        
Answer: 36.67 grams of water is added.
Step-by-step explanation:
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
so, it becomes,

Hence, 36.67 grams of water is added.