Karen has 3 pieces of ribbon that are each 2 3/4 yd long. She also has a piece of lace that is 3 1/5 yd long. Karen needs to cut
2 answers:
The first sentence is filler information that can be ignored, as the question involves lace, not ribbon.
Convert the mixed fraction into an improper fraction.
3 * 5 = 15
15 + 1 = 16
The fraction is now
.
Divide the fraction by 4, as you want to get 4 equally long pieces.
You get
, which can be simplified to 
.
The answer is D.
Convert the mixed fraction into an improper fraction.
3 * 5 = 15
15 + 1 = 16
The fraction is now
Divide the fraction by 4, as you want to get 4 equally long pieces.
You get
The answer is D.
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Answer:
-2<x<4
Step-by-step explanation:
For , note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.
This means x+2>0 and x-4<0 or x+2<0 and x-4>0.
Lets look at the first scenario (x+2>0 and x-4<0)
x+2>0 and x-4<0
x>-2 and x<4
This means that -2<x<4.
Let’s look at the other scenario (x+2<0 and x-4>0)
x+2<0 and x-4>0
x<-2 and x>4
This means that x must be <-2 and >4 simualtaneously, which is impossible.
Therefore, this only occurs when -2<x<4.
I hope this helps! :)