document.write( "Question 142209: I am new to algebra and am having trouble solving the examples my friends submitted for our practice exercises. Can you help me with these two questions. I have tried to solve them using the d=r(t) but it doesn't work right, or I am doing it wrong.\r
\n" ); document.write( "\n" ); document.write( "1. Maria bicycles 5 km/h faster than Carlos . In the same time it takes Carlos to bicycle 30 km, Maria can bicycle 45 km. How fast does each bicyclist travel?\r
\n" ); document.write( "\n" ); document.write( "2. hat size head circum. (to nearest 1/5 inch) head circum to nearest cm
\n" ); document.write( " 7 3/8 23 1/5 59
\n" ); document.write( " ??? ????? 58\r
\n" ); document.write( "\n" ); document.write( "How do I solve this one? Please help
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Algebra.Com's Answer #103606 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1. Maria bicycles 5 km/h faster than Carlos . In the same time it takes Carlos to bicycle 30 km, Maria can bicycle 45 km. How fast does each bicyclist travel?
\n" ); document.write( ":
\n" ); document.write( "Let s = C's speed
\n" ); document.write( "then
\n" ); document.write( "(s+5) = M's speed
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = dist/speed
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\n" ); document.write( "C's time = M's time
\n" ); document.write( "\"30%2Fs\" = \"45%2F%28%28s%2B5%29%29\"
\n" ); document.write( "Cross multiply:
\n" ); document.write( "45s = 30(s+5)
\n" ); document.write( "45s = 30s + 150
\n" ); document.write( "45s - 30s = 150
\n" ); document.write( "15s = 150
\n" ); document.write( "s = 10 km/hr is C's speed, 15 km/hr is M's speed
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\n" ); document.write( "check solutions by confirming that the times are the same:
\n" ); document.write( "30/10 = 3 hr
\n" ); document.write( "45/15 = 3 hr
\n" ); document.write( ":
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\n" ); document.write( "2. hat size head circum. (to nearest 1/5 inch) head circum to nearest cm
\n" ); document.write( "7 3/8 23 1/5 59
\n" ); document.write( "-???- ?????- 58
\n" ); document.write( ":
\n" ); document.write( "Find the relationship of cm to inches: \"59%2F%2823.2%29\" = 2.54 cm in 1 inch
\n" ); document.write( ":
\n" ); document.write( "Convert 58 cm to inches: \"58%2F2.54\" = 22.83 inches or 22\"4%2F5\"inches
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\n" ); document.write( "Find the relationship of circumference in inches to hat size
\n" ); document.write( "\"7.375%2F23.2\" = .318
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\n" ); document.write( "Multiply 22.8 * .318 = 7.24 or 7\"1%2F4\"(hat size)
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\n" ); document.write( "Fill in the table as follows:
\n" ); document.write( "7 3/8....23 1/5...59
\n" ); document.write( "7 1/4....22 4/5...58
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\n" ); document.write( "Did this help?
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