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frez [133]
3 years ago
7

Determine weather the two expressions are equivelent tell what property is applied if not explain why (35+17)+43 and 35 +(17+43)

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

Associative Property

Step-by-step explanation:

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The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
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Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

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Cross multiply

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x + y = 1.40x

Collect like terms

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0.40x = y

Make x the subject

x = \frac{y}{0.40}

x = 2.50y

So, the average is:

Average = (1 - 30\%) * x

Average = (1 - 30\%) * 2.50y

Average =0.70 * 2.50y

Average =1.75y

Rewrite as:

Average =(1 + 0.75)y

Express as percentage

Average =(1 + 75\%)y

This means that the average is 75% bigger than the second number

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