document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=458739>Question 458739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need assistance with these homework problems please:\r<BR>\n" );
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document.write( "6) Which of the four systems can be used to solve the following problem: A coffee shop carries two blends of coffee. The first blend contains 20% Mexican coffee and 80% Columbian coffee. The second blend contains 60% Mexican coffee and 40% Columbian coffee. How many pounds of each blend should be combined to create a new blend that contains 30 pounds of Mexican coffee and 70 pounds of Columbian coffee? Let x be the amount of blend 1 and y the amount of blend 2.\r<BR>\n" );
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document.write( "(A)<BR>\n" );
document.write( ".8x+.4y=70<BR>\n" );
document.write( ".2x+.6y=30\r<BR>\n" );
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document.write( "(B)<BR>\n" );
document.write( ".6x+.4y=70<BR>\n" );
document.write( ".2x+.8y=30\r<BR>\n" );
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document.write( "(C)<BR>\n" );
document.write( ".2x+.8y=30<BR>\n" );
document.write( "x+y=100\r<BR>\n" );
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document.write( "(D)<BR>\n" );
document.write( ".4x+.8y=70<BR>\n" );
document.write( ".6x+.2y=30\r<BR>\n" );
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document.write( "I chose (A)\r<BR>\n" );
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document.write( "7) Which of the three systems can be used to solve the following problem: Last year an investment firm invested 200 million dollars in three mutual funds. Mutual fund #1 yielded a 4% return, mutual fund #2 5%, and mutual fund #3 8%. The total amount of return from the three funds was 13 million dollars. It was known that the amount invested in mutual fund #1 and mutual fund #2<BR>\n" );
document.write( "combined equaled the amount invested in mutual fund #3. Let x be the amount invested in mutual fund #1, y mutual fund #2, and z mutual fund #3.\r<BR>\n" );
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document.write( "(A)<BR>\n" );
document.write( "4x+5y+8z= 1300<BR>\n" );
document.write( "x+y-z= 0<BR>\n" );
document.write( "x+y+z= 200\r<BR>\n" );
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document.write( "(B)<BR>\n" );
document.write( "0.4x+0.5y+0.8z= 13<BR>\n" );
document.write( "x+y+z=200<BR>\n" );
document.write( "x+y=z\r<BR>\n" );
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document.write( "(C)<BR>\n" );
document.write( "x+y+z=200<BR>\n" );
document.write( "x=y+z<BR>\n" );
document.write( "0.04x+0.05y+0.08z=13\r<BR>\n" );
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document.write( "I chose (A)<BR>\n" );
document.write( "8) The initial array corresponding to a system is (1 0 5 | -2)<BR>\n" );
document.write( "                                                (-1 1 -3 | 5)<BR>\n" );
document.write( " <BR>\n" );
document.write( ". Which of the following is<BR>\n" );
document.write( "the GENERAL solution to the system?<BR>\n" );
document.write( "(A)<BR>\n" );
document.write( "any real number<BR>\n" );
document.write( "y=-3z-x+ 5<BR>\n" );
document.write( "x=5z- 2<BR>\n" );
document.write( "z= any real number<BR>\n" );
document.write( "(B)<BR>\n" );
document.write( "x=-2=5z<BR>\n" );
document.write( "y=3-2z<BR>\n" );
document.write( "z=any real number\r<BR>\n" );
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document.write( "(C)<BR>\n" );
document.write( "x=-2<BR>\n" );
document.write( "y=3<BR>\n" );
document.write( "z=0\r<BR>\n" );
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document.write( "(D)<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "y=5<BR>\n" );
document.write( "z=-1\r<BR>\n" );
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document.write( "I chose (B)<BR>\n" );
document.write( "are these correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314680 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=314680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6) Which of the four systems can be used to solve the following problem: A coffee shop carries two blends of coffee. <BR>\n" );
document.write( "The first blend contains 20% Mexican coffee and 80% Columbian coffee. <BR>\n" );
document.write( "The second blend contains 60% Mexican coffee and 40% Columbian coffee. <BR>\n" );
document.write( "How many pounds of each blend should be combined to create a new blend that contains 30 pounds of Mexican coffee and 70 pounds of Columbian coffee? <BR>\n" );
document.write( "Let x be the amount of blend 1 and y the amount of blend 2. <BR>\n" );
document.write( "(A)<BR>\n" );
document.write( "Columbian Coffee:::0.8x+.4y=70<BR>\n" );
document.write( "Mexican Coffee:::::.2x+.6y=30 <BR>\n" );
document.write( "I chose (A)<BR>\n" );
document.write( "GOOD<BR>\n" );
document.write( "============================ <BR>\n" );
document.write( "7) Which of the three systems can be used to solve the following problem: Last year an investment firm invested 200 million dollars in three mutual funds.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Mutual fund #1 yielded a 4% return, mutual fund #2 5%, and mutual fund #3 8%. The total amount of return from the three funds was 13 million dollars. <BR>\n" );
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document.write( "It was known that the amount invested in mutual fund #1 and mutual fund #2<BR>\n" );
document.write( "combined equaled the amount invested in mutual fund #3. Let x be the amount invested in mutual fund #1, y mutual fund #2, and z mutual fund #3. <BR>\n" );
document.write( "(A)<BR>\n" );
document.write( "Interest Eq::::4x+5y+8z= 1300<BR>\n" );
document.write( "Quantity Eq:::: x+y-z= 0<BR>\n" );
document.write( "Quantity Eq:::::x+y+z= 200 <BR>\n" );
document.write( "I chose (A)<BR>\n" );
document.write( "GOOD<BR>\n" );
document.write( "-------------------------------------------------------------------<BR>\n" );
document.write( "8) The initial array corresponding to a system is <BR>\n" );
document.write( "(1 0 5 | -2)<BR>\n" );
document.write( "(-1 1 -3 | 5)\r<BR>\n" );
document.write( "\n" );
document.write( ". Which of the following is<BR>\n" );
document.write( "the GENERAL solution to the system?<BR>\n" );
document.write( "(B)<BR>\n" );
document.write( "x=-2-5z<BR>\n" );
document.write( "y=3-2z<BR>\n" );
document.write( "z=any real number <BR>\n" );
document.write( "I chose (B)<BR>\n" );
document.write( "are these correct?<BR>\n" );
document.write( "GOOD<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );