The classroom door is 90 inches tall
Answer: 8/9
Step-by-step explanation: volume of rectangular prism
V = lwh
1 3/4 = 4 2/3 * 1/3 * h
4/7 = 14/3 * 1/3 * h
h = 14/3 * 1/3 * 4/7 = 8/9
bearing in mind that perpendicular lines have negative reciprocal slopes, let's find the slope of 5x - y = 9 then.
![\bf 5x-y=9\implies -y=-5x+9\implies y=\stackrel{\stackrel{m}{\downarrow }}{5}x-9\leftarrow \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} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%205x-y%3D9%5Cimplies%20-y%3D-5x%2B9%5Cimplies%20y%3D%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B5%7Dx-9%5Cleftarrow%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so then, we're really looking for the equation of a line whose slope is -1/5 and runs through (3,-10).
and it looks like the one in the picture below.
I believe the answer is -2, 7
Answer:
Bag of lemon
Step-by-step explanation:
Given that:
Cost of loose lemon = $0.99 for 2
Cost of bag of lemon = $2.50 for 6
Calculating the cost per 1 for loose and bag of lemon (unit cost) ;
Loose lemon :
$0.99 /2 = $0.495
Bagged lemon :
$2.50 / 6 = $0.4167
Hence, since the unit cost of bagged lemon is lesser than loose lemon, then purchasing a bag of lemon is better
