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Plz help I will do anything

Plz help I will do anything-example-1
User John Liu
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There's no need to get into an ethical morass over math homework.


111.


M is 20% less than N means

M is 100-20=80% of N

M=0.80 N

M/N = 0.8 = 4/5


Ratio: 4/5


112.


When we know a, the average, and n, how many numbers there are, we know the sum s, because a=s/n so s=na.


So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6


Answer: 3.6


113.


|2p + 4 | < 3


At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when


2p +4 = -3


2p = -7


p = -7/2 = -3 1/2


So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.


Answer: -3



114.


The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:



d = √((-.3)^2 + (-.4)^2)=.5


Answer: .5 or 1/2


User Deepsky
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