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Brums [2.3K]
3 years ago
10

="2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48}" alt="2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0

Answer:

24aprtment3

Step-by-step explanation:

mario62 [17]3 years ago
3 0

\\ \sf\longmapsto 2 \sqrt{75}  -  \sqrt{108}  + 5 \sqrt{48}  \\\\ \sf\longmapsto 2 \sqrt{25 \times 3}  -  \sqrt{36 \times 3}  + 5 \sqrt{16 \times 3}   \\ \\ \sf\longmapsto 2 \times 5 \sqrt{3}  - 6 \sqrt{3}  + 5 \times 4 \sqrt{3}  \\ \\ \sf\longmapsto 10 \sqrt{3}  - 6 \sqrt{3}  + 20 \sqrt{3}  \\ \\ \sf\longmapsto (10 - 6 + 20) \sqrt{3}  \\ \\ \sf\longmapsto 24 \sqrt{3}

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so the cost was 1477, which is 177 over the budget, meaning the budget is 1477 - 177 or just 1300.

now, if we take 1300 to be the 100%, how much in percentage is 177, the overflown amount?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 1300&100\\ 177&p \end{array}\implies \cfrac{1300}{177}=\cfrac{100}{p}\implies 1300p=17700\implies p=\cfrac{17700}{1300} \\\\\\ p=\cfrac{177}{13}\implies p\approx 13.62\implies \stackrel{\textit{rounded up}}{p=14}

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