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

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

You might be interested in

Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000

Kobotan [32]

If Bryan wants to make $2000 dollars then he needs to solve this equation:

2000=500+150x
-500 -500

1500=150x divide by 150 on both sides

x=10

10 cars

3 0

3 years ago

Read 2 more answers

Jacob’s daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best repre

skad [1K]

Option d: Yes, Jacob is correct. The median amount he makes is $84.00 in a day.

Explanation:

It is given that Jacob's daily tips for week are $99, $78, $58, $91, $90, and $68.

We need to determine the median of how much money he makes in daily tips.

Thus, to determine the median, first let us arrange the tips in ascending order.

Ascending order: $58, $68, $78, $90, $91 and $99

Since, the group is an even number of terms, let us add the two middle terms and divide by 2.