document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122190>Question 1122190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.) Fill in the blank with a plausible hourly wage, then solve the problem.<BR>\n" );
document.write( "Thomas earns _ per hour, plus tips. At the end of the day, he made exactly $30 less in tips than he did from his hourly wage. In total, he made $131. How much did he make in tips?\r<BR>\n" );
document.write( "\n" );
document.write( "2.)There are 100 Grade 9 students at a high school, and 40% of these students went to the football game. The full price for a ticket was $8.00, but half of the Grade 9 students who went to the game wore school colors, so they only had to pay $2.00 for a ticket. What was the total amount of money collected from the Grade 9 students who attended the football game.\r<BR>\n" );
document.write( "\n" );
document.write( "3.) Consider the general question (-1)^n is a natural number (1, 2, 3...). What will it evaluate to, for a given value of n? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738246 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) Fill in the blank with a plausible hourly wage, then solve the problem.<BR>\n" );
document.write( "Thomas earns _ per hour, plus tips. At the end of the day, he made exactly $30 less in tips than he did from his hourly wage. In total, he made $131. How much did he make in tips? \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it really doesn't matter how much he makes per hour.<BR>\n" );
document.write( "he will make the same value in tips at the end of the day.<BR>\n" );
document.write( "that value will be 50.5 dollars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let h = the number of hours he works in a day.<BR>\n" );
document.write( "let w = his hourly wages.<BR>\n" );
document.write( "let t = the amount of tips he makes in a day.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "he makes wh + t in a day.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since he made 131 on a particular day, then wh + t = 131\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you are given that he made 30 dollars less in tips than he made from his hourly wage.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this means that t = wh - 30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for wh to get wh = t + 30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the formula of wh + t = 131, replace wh with t + 30 to get t + 30 + t = 131.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get 2t + 30 = 131\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for t to get t = (131 - 30) / 2 = 50.5 dollars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.)There are 100 Grade 9 students at a high school, and 40% of these students went to the football game. The full price for a ticket was $8.00, but half of the Grade 9 students who went to the game wore school colors, so they only had to pay $2.00 for a ticket. What was the total amount of money collected from the Grade 9 students who attended the football game.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "40% of 100 grade 9 students = 40 grade 9 students that went to the football game.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "half of the grade 9 students wore school colors so they only had to pay 2 dollars for their tickets.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the other half had to pay full fare of 8 collars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "20 * 2 + 20 * 8 = 40 + 160 = 200 dollars that was collected from the grade 9 students that went to the football game.\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "3.) Consider the general question (-1)^n is a natural number (1, 2, 3...). What will it evaluate to, for a given value of n?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(-1)^n is equal to -1 if n is odd and is equal to 1 if n is even.<BR>\n" );
document.write( "as n increases by 1 each time, the function fluctuates between -1 and 1 endlessly.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(-1)^1 = -1<BR>\n" );
document.write( "(-1)^2 = 1<BR>\n" );
document.write( "(-1)^3 = -1<BR>\n" );
document.write( "(-1)^4 = 1<BR>\n" );
document.write( "etc.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );