Darla sells televisions. She earns a fixed amount for each television and an additional $30 if the buyer gets an extended warranty. If Darla sells 15 televisions with extended warranties, she earns $1,275. How much is the fixed amount Darla earns for each television?

Solved

Show answers

Ответ:

xxcynthistxx

08.12.2021

Mathematics

see explanation

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\frac{12}{\sqrt{8} }$

To rationalise the denominator multiply the numerator/ denominator by $\sqrt{8}$ , thus

$\frac{12}{\sqrt{8} }$ × $\frac{\sqrt{8} }{\sqrt{8} }$

= $\frac{12\sqrt{8} }{8}$

$\sqrt{8}$ = $\sqrt{4(2)}$ = 2 $\sqrt{2}$ , thus

= $\frac{12(2)\sqrt{2} }{8}$

= $\frac{24\sqrt{2} }{8}$

= 3 $\sqrt{2}$ ← as required

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

Darla sells televisions. She earns a fixed amount for each television and an additional $30 if the buyer gets an extended warranty. If Darla sells 15 televisions with extended​ warranties, she earns $1,275. How much is the fixed amount Darla earns for each​ television?