Question 1146579: when we subtract 10 from the distance between half a real number and -4 we get 4. find the number(s). show all work! Answer by VFBundy(438) (Show Source):
You can put this solution on YOUR website! (0.5n - (-4)) - 10 = 4
(0.5n + 4) - 10 = 4
0.5n - 6 = 4
0.5n = 10
n = 20
The number is 20.
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Check it:
Half of 20 is 10.
The distance between 10 and -4 is 14.
14 minus 10 is 4.
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You can also set it up this way:
(-4 - 0.5n) - 10 = 4
-4 - 0.5n - 10 = 4
-14 - 0.5n = 4
-0.5n = 18
n = -36
The number is -36.
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Check it:
Half of -36 is -18.
The distance between -18 and -4 is 14.
14 minus 10 is 4.
============================================= So...there are two answers...20 and -36.
