Answer:
3/5
Step-by-step explanation:
2/3 and 3/5 have a common denominator of 15 so multiply 2/3 by 5 and 3/5 by 3 and you will get 10/15 from 2/3 and 3/5 is 9/15 so it is less then 2/3
The complete question in the attached figure
we know that
[scale]=1 in / 30 ft
scale=[measure in the drawing]/[measure in the actual]
[measure in the actual]=[measure in the drawing]/[scale]
so
[measure in the drawing]=1.25 in
scale=1/30
then
[measure in the actual]=[1.25]/[1/30]------> 1.25*30-----> 37.5 ft
the answer is<span>
the Actual height is 37.5 ft</span>
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![\bf \stackrel{\textit{cost of the pens}}{0.40x+15}\qquad \qquad \qquad \stackrel{\textit{cost of the sportpacks}}{1.50y+30} \\\\\\\ \stackrel{x=500}{[0.40(500)+15]}~~+~~[1.50y+30] \le 3330 \\\\\\ 200+15~~+~~1.5y+30\le 3330\implies 245+1.5y \le 3330 \\\\\\ 1.5y\le 3085\implies y\le \cfrac{3085}{1.5}\implies y\le \cfrac{6170}{3}\implies y\le 2056\frac{2}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bcost%20of%20the%20pens%7D%7D%7B0.40x%2B15%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bcost%20of%20the%20sportpacks%7D%7D%7B1.50y%2B30%7D%0A%5C%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7Bx%3D500%7D%7B%5B0.40%28500%29%2B15%5D%7D~~%2B~~%5B1.50y%2B30%5D%20%5Cle%203330%0A%5C%5C%5C%5C%5C%5C%0A200%2B15~~%2B~~1.5y%2B30%5Cle%203330%5Cimplies%20245%2B1.5y%20%5Cle%203330%0A%5C%5C%5C%5C%5C%5C%0A1.5y%5Cle%203085%5Cimplies%20y%5Cle%20%5Ccfrac%7B3085%7D%7B1.5%7D%5Cimplies%20y%5Cle%20%5Ccfrac%7B6170%7D%7B3%7D%5Cimplies%20y%5Cle%202056%5Cfrac%7B2%7D%7B3%7D)
or namely 2056 sportpacks if we toss away the fraction.