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3 years ago

7

Roberta has $50 in her purse. The money she has left over after buying two boxes of cookies is given by the equation 50 − x = 38

, where x represents the cost of two boxes of cookies.

1 answer:

const2013 [10]3 years ago

3 0

Answer:

The cookies cost $6 each, and $12 altogether.

Step-by-step explanation:

50-38=12, or x

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3 years ago

If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers

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Answer:

a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

$\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}$

<h2>Simplify it in steps:</h2>

<h3>Step 1</h3>

Bring both fractions into common denominator:

$\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}$

<h3>Step 2</h3>

Simplify:

$\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

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<h3>Step 3</h3>

Compare the result with given expression to get:

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Answer:

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Step-by-step explanation:

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