Mathematics: On saturday stella worked for two hours her mother in the house. she spent 1/3 of her time doing laundry, 1/4 of a time cleaning and the rest of her time working in the yard how much of her time was spent in the yard?

Check the picture below.so if we simply subtract the strip area with the pond and the area of the pond only, what s leftover is the area of the strip alone, sonow, the negative root will simply yield a negative value, which is not applicable here, so we ll only use the positive root, since it s the only feasible one for the phenomena...

On saturday stella worked for two hours her mother

Ответ:

Madisonk3571

14.01.2022

Mathematics

$\bf \stackrel{\textit{total hours time}}{2}-\cfrac{1}{3}-\cfrac{1}{4}\impliedby \textit{we'll use an LCD of \underline{12}}
\\\\\\
2-\cfrac{1}{3}-\cfrac{1}{4}\implies \cfrac{(12\cdot 2)~-~(4\cdot 1)~-~(3\cdot 1)}{12}\implies \cfrac{24-4-3}{12}\implies \cfrac{17}{12}
\\\\\\
\textit{12 goes into 17 \underline{1 time} and it has a \underline{remainder} of 5 }\implies 1\frac{5}{12}$

which is one hour and 25 minutes.

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Ответ:

kataldaine

23.12.2022

Mathematics

Check the picture below.

so if we simply subtract the strip area with the pond and the area of the pond only, what's leftover is the area of the strip alone, so

$\stackrel{\textit{area of the grass \underline{with} pond}}{(15+2x)(18+2x)}-\stackrel{\textit{area of the pond}}{(15)(18)}=\stackrel{\textit{their difference}}{232} \\\\\\ 270+30x+16x+4x^2-270=232\implies 46x+4x^2=232 \\\\\\ 23x+2x^2=116\implies 2x^2+23x-116=0$

$~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+23}x\stackrel{\stackrel{c}{\downarrow }}{-116}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x = \cfrac{-23\pm \sqrt{23^2-4(2)(-116)}}{2(2)}\implies x = \cfrac{-23\pm \sqrt{1457}}{4}$

now, the negative root will simply yield a negative value, which is not applicable here, so we'll only use the positive root, since it's the only feasible one for the phenomena

$x = \cfrac{-23+ \sqrt{1457}}{4}\implies x \approx 3.792667341996157\implies \stackrel{\textit{rounded up}}{x = 3.8}$

Doris has a fish pond 15 by 18 ft. She wants to put grass in a strip of uniform with around the pond

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On saturday stella worked for two hours her mother in the house. she spent 1/3 of her time doing laundry, 1/4 of a time cleaning and the rest of her time working in the yard how much of her time was spent in the yard?

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