anonymous
  • anonymous
Someone plz help with my last question
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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ash2326
  • ash2326
Yeah, post it
anonymous
  • anonymous
post it XD
anonymous
  • anonymous
Graph each system and choose two possible solutions for the system. Show All Work! Boxed Toy airplanes require 4 square feet of cardboard and boxed toy trucks require 2.5 square feet of cardboard. Write an inequality for the number of each toy you can package if you only have 180 square feet of cardboard. Let x= # of airplanes and y= # of trucks

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ash2326
  • ash2326
Let x= # of airplanes and y= # of trucks so x airplanes require 4x square feet of cardboard and y trucks require 2.5 y square feet but we have only 180 square feets of cardboard so \[4x+2.5y\le 180\] Let's plot the line 4x+2.5 y=180 for plotting the line we need two points let's put x=0 we get 2.5y=180 or y=72 so one point is (0, 72) now put y=0 we get 4x=180 we get x=45 so other point is (45,0) Let's plot the line 4x+2.5y=180
ash2326
  • ash2326
|dw:1332521595305:dw|
ash2326
  • ash2326
Now let's take a point above the line like (46, 74) substitute this in the equation \[4x+2.5y\le 180\] \[184+185\le 180\] clearly this isn't satisfied so our region is below the line |dw:1332522043888:dw|
ash2326
  • ash2326
Now we need two solutions just take any point below the line it'd satisfy our condition Say (10,10) or x=10 and y=10 \[4x+2.5y=40+25=65 \le 180\] this satisfies our condition Let's now take another point say (20,60) x=20 and y=30 \[4*20+2.5*30=80+75=155 \le 180\]

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