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2 years ago

A juice box contains 6 fluid ounces of juice. Maria bought a package of 10 juice boxes.

Mathematics

2 answers:

yarga [219]2 years ago

8 0

Answer:

0.06

Step-by-step explanation:

Mademuasel [1]2 years ago

4 0

Answer:

7.5

Step-by-step explanation:

To find the total amount of ozs you multiply 6x10 which is 60. So you have 60 fluid ozs.
To convert fluid oz to cups you divide ounces by 8.

So 60/8 is 7.5

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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

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

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

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Westkost [7]

Answer:

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Step-by-step explanation:

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