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DIA [1.3K]
3 years ago
5

has tables that seat 6 people each.all the tables and chairs have 4 legs each.altogether there are 364 furniture legs.if there i

s one place set for each person how many guest will there be
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer: 91 guests

Step-by-step explanation:

Given the available furniture legs to be 364, where each seat has 4 legs

We will divide 364 by 4 to get the number of available seats.

364/4 = 91 seats

If 91 seats are available and it is set at 1 seat per guest,

Number of guests will be 91 seats/1 = 91, therefore, 91 guests will be available.

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What is the following quotient? 5/√11-√3
kati45 [8]

ANSWER

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

EXPLANATION

The given rational function is

\frac{5}{ \sqrt{11} -  \sqrt{3}}

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

\sqrt{11}  -  \sqrt{3}

which is

\sqrt{11}   +  \sqrt{3}

When we rationalize we obtain:

\frac{5( \sqrt{11}  +  \sqrt{3} )}{(\sqrt{11}  - \sqrt{3} )( \sqrt{11}  +  \sqrt{3} )}

The denominator is now a difference of two squares:

(a - b)(a + b) =  {a}^{2}  -  {b}^{2}

We apply this property to get

\frac{5( \sqrt{11}  +  \sqrt{3} )}{( \sqrt{11}) ^{2}    -  ( \sqrt{3}) ^{2}  )}

\frac{5( \sqrt{11}  +  \sqrt{3} )}{11   -  3}

This simplifies to

\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

Or

\frac{5 }  {8}\sqrt{11}  + \frac{5 }  {8}\sqrt{3}

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Step-by-step explanation:

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Step-by-step explanation:

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