document.write( "Question 66563: Sunset rents an SUV at $21.95 plus $0.23 per mile. Sunrise rents the same vehicle for $24.95 plus $0.19 per mile. For what mileage is the cost the same? \r
\n" ); document.write( "\n" ); document.write( "Hint: Using \"m\" for miles, write one equation for each rental company. Then solve the system by one of the methods learned in assignment 5.6 or 5.7.
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Algebra.Com's Answer #47304 by ankor@dixie-net.com(22740)\"\" \"About 
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Sunset rents an SUV at $21.95 plus $0.23 per mile. Sunrise rents the same vehicle for $24.95 plus $0.19 per mile. For what mileage is the cost the same? \r
\n" ); document.write( "\n" ); document.write( "Hint: Using \"m\" for miles, write one equation for each rental company.
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\n" ); document.write( "Sunset cost expression: .23m + 21.95
\n" ); document.write( "Sunrise cost expression: .19m + 24.95
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\n" ); document.write( "Sunset cost = Sunrise cost, at what mileage (m)
\n" ); document.write( ".23m + 21.95 = .19m + 24.95
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\n" ); document.write( "Perform the necessary operations to get the variable (m) on the left by itself:
\n" ); document.write( ".23m - .19m = 24.95 - 21.95
\n" ); document.write( ".04m = 3.00
\n" ); document.write( "m = 3/.04
\n" ); document.write( "m = 75 miles when the two rental plans are equal
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\n" ); document.write( "Check,substitute 75 for x:
\n" ); document.write( "Sunset: .23(75) + 21.95 = 39.20
\n" ); document.write( "Sunrise: .19(75) + 24.95 = 39.20
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