If a storm window is 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide

1 answer:

3 0

$\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=\stackrel{\textit{6 more than \underline{w}}}{w+6}\\ A=315 \end{cases}\implies 315=(w+6)(w) \\\\\\ 315=w^2+6w\implies 0=w^2+6w-315 \\\\\\ (w+21)(w-15)=0\implies w= \begin{cases} -21\\ \boxed{15} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill w=15\qquad \stackrel{w+6}{L=21}~\hfill$

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A 2-digit number with x units and 7 less units than tens.

Hatshy [7]

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Unit rate for typing 34 words in a minute in a half

katrin [286]

Answer:

Rate is 1.1333 words per second 

Step-by-step explanation:

We understand rating as frequency or speed of doing something per time (seconds mainly)

${ \green{ \tt{rate = \frac{item \: quantity}{time} }}} \\$

Let's find rate in terms of seconds (words per second)

${ \rm{rate = \frac{34 \: words}{ (\frac{1}{2} \times 60) \: seconds} }} \\ \\ { \rm{rate = \frac{34}{30} }} \\ \\ { \rm{rate = 1.133 \: \: words \: per \: second}}$