$\bf \begin{array}{ccll} minutes&\stackrel{juice}{cups}\\ \cline{1-2} 15&3\frac{1}{4}\\\\ x&32\frac{1}{2} \end{array}\implies \cfrac{15}{x}=\cfrac{3\frac{1}{4}}{32\frac{1}{2}}\implies \cfrac{15}{x}=\cfrac{\frac{3\cdot 4+1}{4}}{\frac{32\cdot 2+1}{2}}\implies \cfrac{15}{x}=\cfrac{\frac{13}{4}}{\frac{65}{2}}$

$\bf \cfrac{15}{x}=\cfrac{~~\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{2}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\underset{5}{~~\begin{matrix} 65 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{15}{x}=\cfrac{1}{10}\implies 150=x\leftarrow \begin{array}{llll} \textit{150 minutes or}\\\\ \textit{2 hours and a half} \end{array}$

4 0

3 years ago

Which two points lie on a line with an undefined slope?

Ierofanga [76]

Slope formula is
m = (y2 - y1)/(x2 - x1)

A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error

B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1

C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1

D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0

the undefined slope would be the one that came out as error, so A

6 0

3 years ago

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