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ss7ja [257]
1 year ago
6

(02.04 MC)

Mathematics
1 answer:
Ainat [17]1 year ago
6 0

(\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{18}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{18}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{ 12 }{ 2 } \implies 6

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 6}(x-\stackrel{x_1}{3}) \\\\\\ y-6=6x-18\implies {\Large \begin{array}{llll} y=6x-12 \end{array}}

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81 is 37.5% of what number?
laila [671]

Hi,

81 is 37.5% of 216.

"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 37.5, so we can write it down as 100%=37.5.  

4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.  

5. Now we have two simple equations:

1) 100%=37.5

2) x%=81

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=37.5/81

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

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100%/x%=37.5/81

(100/x)*x=(37.5/81)*x       - we multiply both sides of the equation by x

100=0.46296296296296*x       - we divide both sides of the equation by (0.46296296296296) to get x

100/0.46296296296296=x  

216=x  

x=216                          "

Have a great day!

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