Please help I do not understand also please explain! thank you

Mathematics

2 answers:

tamaranim1 [39]3 years ago

7 0

The answer is 7. Subtract 1600-1450= 150. Then do 150/19 =7 (rounded down).

adell [148]3 years ago

3 0

The answer is 7.

This is because...
The total weight minus the weight of the people;
1,600 - 1,450 = 150 lbs

The max amount which the instruments can weight when added to get her divided by the weight of each instrument;
150 / 19 = 7.89...

Round down because you can’t have partial instruments;
7.89... = 7

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What is an equation of the line that passes through the point (2, -6) and is parallel

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$x-2y=8\implies -2y=-x+8\implies y=\cfrac{-x+8}{-2} \\\\\\ y=\cfrac{-x}{-2}+\cfrac{8}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x-4 \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/2 and passes through the point (2 , -6)

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad\qquad \stackrel{slope}{m}\implies \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y+6=\cfrac{1}{2}x-1\implies y=\cfrac{1}{2}x-7$