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pychu [463]
3 years ago
7

Find the indicated length. find LM

Mathematics
1 answer:
Roman55 [17]3 years ago
7 0

The overall length is given as 22.

The line is split into 2 parts X and 3X.

So we have X + 3X = 22

Add X and #X to get 4X:

4X = 22

Divide both sides by 4 to get X:

X = 22 /4

X = 5.5

Now we know what X is so now replace x with 5.5 and solve for LM:

LM = 3X = 3*5.5 = 16.5

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.
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Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

x -0,3*x = x -24

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x

24=x-0,7*x \rightarrow 24 = x*(1-0,7)

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

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And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0
3 years ago
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