32.50 divided by 6.50
1 answer:
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Answer:
44 units
Step-by-step explanation:
Since B is the mid-point of AC
AB=BC
or,4x+14=x+20
or, 4x-x=20-14
or 3x=6
or,x=6/3=2
AC=AB+BC
= 4x+14+x+20
= 4(2) + 14 +2 +20
= 8+14+22
=44 units
<h3>Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.