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3 years ago

Which pair of fractions and mixed numbers have a common denominator of 42?

Mathematics

2 answers:

Shtirlitz [24]3 years ago

8 0

Answer:

A. 3 2/3 and 5/7

Step-by-step explanation:

The pair of fraction that has the same denominator of 42 are 3 2/3 and 5/7.

First fraction 3 2/3 = 11/3

Second fraction = 5/7

If we look at the denominator of both fractions i.e 3 and 7, they are both factor of 42. Since this two values can easily go in 42 without remainder, then we can conclude that both fraction initially has a denominator of 42.

USPshnik [31]3 years ago

7 0

The answer is b because 6 and 4s common denominator is 24

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An in-ground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represent

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Answer:

$A_w=8x+336$

Step-by-step explanation:

From the question we are told that:

Length of pool $l_p=34$

width of pool $w_p=x$

Width of brick-walk way $w_b=4$

Generally the equation for Area of the pool $A_b$ is mathematically given by

$A_p=l_p*w_p\\\\A_p=34*x$

Generally the equation for Area of the pool with its walkway $A_w'$ is mathematically given by

$A_w'=l_w'+w_w'\\\\A_w'=l_w'+w_w'$

Where

$l_w'=length\ of\ pool\ with\ walkway\\\\l_w'=l_p+4+4\\\\l_w'=34+4+4\\\\l_w'=42$

Therefore

$w_w'=width\ of\ pool\ with walkway\\\\w_w'=w_p+8\\\\A_w'=42*(x+8)$

Generally the equation for pool's walkway $A_w$ is mathematically given by

$A_w=A_w'-A_p\\\\A_w=(42*(x+8))-(34x)$

$A_w=8x+336$

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