Let <em>x</em> = 8.132132132...
Then 1000<em>x</em> = 8132.132132132...
Subtract <em>x</em> from 1000<em>x</em> to eliminate the fractional part:
1000<em>x</em> - <em>x</em> = 8132.132132132... - 8.132132132...
999<em>x</em> = 8132 - 8 = 8124
<em>x</em> = 8124/999 = 2708/333
<h3>
Answer: 7/4</h3>
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How to get that answer:
The slope is the rate of change for any linear function.
Apply the slope formula for any two points on the diagonal line.
I'll use the points (-4, -3) and (0, 4)
The slope is m = 7/4
This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)
slope = rise/run = 7/4
rise = 7, run = 4
The fraction 7/4 converts to the decimal form 1.75
Answer:
B and E
Step-by-step explanation:
A. Incorrect; the expanded form of 3(4x + 3) is 12x + 9
B. Correct; the cumulative property of addition was applied here.
C. Incorrect; this adds up to 8x + 52, which is not equivalent to 12x + 9
D. Incorrect; this equals 13
E. Correct; this is the expanded form of 3(4x + 3)
To solve expressions like the one above, you must first complete the operations inside the parenthesis. We know this because of PEMDAS, wherein the P (representing parenthesis) comes first.
(14 - 6) * (2+4) = (8) * (6)
Next, we must simplify the expression. There is only one operation left to complete, multiplication, so that is what we are going to do next.
8 * 6 = 48
Therefore, your answer is B. 48
I hope this helps! :)