document.write( "Question 512110: 1a.Stella is having a race with Tess. Stella gives Tess a 5o foot head start. Stella runs at 14.3 feet per second and Tess runs at 12.5 feet per second. \r
\n" ); document.write( "\n" ); document.write( "b.Write a system of equations for the two sisters distances.\r
\n" ); document.write( "\n" ); document.write( "c. How lon should the race be in order for it to be a close call.\r
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\n" ); document.write( "\n" ); document.write( "I think b is\r
\n" ); document.write( "\n" ); document.write( "stella 14.3x - 50=y\r
\n" ); document.write( "\n" ); document.write( "and I am guessing \r
\n" ); document.write( "\n" ); document.write( "Tess is 12.5x=y\r
\n" ); document.write( "\n" ); document.write( "Please help!!
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Algebra.Com's Answer #342529 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1a.Stella is having a race with Tess.
\n" ); document.write( "Stella gives Tess a 5o foot head start.
\n" ); document.write( "Stella runs at 14.3 feet per second and
\n" ); document.write( "Tess runs at 12.5 feet per second.
\n" ); document.write( "----
\n" ); document.write( "Tess DATA:
\n" ); document.write( "rate = 12.5 ft/sec ; time = t sec ; distance = r*t = 12.5t ft.
\n" ); document.write( "---------------
\n" ); document.write( "Stella DATA:
\n" ); document.write( "rate = 14.3 ft/sec ; time = t sec ; distance = r*t = 14.3t ft.
\n" ); document.write( "--------
\n" ); document.write( "b.Write a system of equations for the two sisters distances.
\n" ); document.write( "stella distance = tess distance + 50 ft.
\n" ); document.write( "14.3t = 12.5t + 50
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\n" ); document.write( "c. How long should the race be in order for it to be a close call.
\n" ); document.write( "Solve the equation for \"r\":
\n" ); document.write( "14.3t - 12.5t = 50
\n" ); document.write( "1.8t = 50
\n" ); document.write( "t = 27.78 sec
\n" ); document.write( "---
\n" ); document.write( "Tina's distance 12.5*27.78 = 347.22 ft
\n" ); document.write( "Stella's distance 14.3*27.78 = 397.22 ft
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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