document.write( "Question 89379: 3. In captivity, the average life span of a grizzly bear is 9 years more than that of a tiger. The sum of the two average life spans is 41 years. Find the average life span of a tiger in captivity.
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document.write( "a. Define the variables.
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document.write( "b. Write the expression for the life span of a grizzly bear in terms of the life span of a tiger.
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document.write( "c. Write an equation for the sum of their life spans in term of one variable.
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document.write( "d. Solve the equation for the life span of a tiger. \r
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document.write( "4. George is 12 years older than Jeannie. The sum of their ages in 5 years will be 50. How old is Jeannie now?
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document.write( "a. Define the variables.
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document.write( "b. Write an expression for the age of George in terms of Jeannie's age.
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document.write( "c. Write an equation for the sum of their ages in 5 years from now.
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document.write( "d. Solve the equation for the age of Jeannie now.
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document.write( "5. Mandy begins bicycling west at 20mph. Liz leaves from the same point 1 hour later bicycling west at 30mph. When will she catch up with Mandy?
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document.write( "a. Define the variables.
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document.write( "b. Make a chart.
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document.write( "distance=rate x time Rate Time Distance
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document.write( "Mandy 20 t 20t
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document.write( "Liz 30 t -1 30(t-1) \r
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document.write( "c. Set the distances equal to one another (they travel the same distance) and solve the equation for t.
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document.write( "d. What does t represent?
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Algebra.Com's Answer #64979 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 3. In captivity, the average life span of a grizzly bear is 9 years more than that of a tiger. The sum of the two average life spans is 41 years. Find the average life span of a tiger in captivity. \n" ); document.write( "a. Define the variables. \n" ); document.write( "Let t be tiger's life span and b be the bear's life span. \n" ); document.write( "--------------- \n" ); document.write( "b. Write the expression for the life span of a grizzly bear in terms of the life span of a tiger. g=t+9 \n" ); document.write( "c. Write an equation for the sum of their life spans in term of one variable. \n" ); document.write( "t+t+9 = 41 \n" ); document.write( "------------ \n" ); document.write( "d. Solve the equation for the life span of a tiger. \n" ); document.write( "2t = 32 \n" ); document.write( "t=16 \n" ); document.write( "--------------- \n" ); document.write( "4. George is 12 years older than Jeannie. The sum of their ages in 5 years will be 50. How old is Jeannie now? \n" ); document.write( "a. Define the variables. \n" ); document.write( "George's age is g ; Jeannie's age if j. \n" ); document.write( "------------------------- \n" ); document.write( "b. Write an expression for the age of George in terms of Jeannie's age. \n" ); document.write( "g = j-12 \n" ); document.write( "--------------- \n" ); document.write( "c. Write an equation for the sum of their ages in 5 years from now. \n" ); document.write( "g+5 + j+5 = 50 \n" ); document.write( "----------------- \n" ); document.write( "d. Solve the equation for the age of Jeannie now. \n" ); document.write( "(j-12)+5 + j+5 = 50 \n" ); document.write( "2j - 2 = 50 \n" ); document.write( "2j = 52 \n" ); document.write( "j = 26 yrs old \n" ); document.write( "------------------------------- \n" ); document.write( " \n" ); document.write( "5. Mandy begins bicycling west at 20mph. Liz leaves from the same point 1 hour later bicycling west at 30mph. When will she catch up with Mandy? \n" ); document.write( "a. Define the variables \n" ); document.write( "Mandy's time is t; Liz's time is t-1. \n" ); document.write( "b. Make a chart. \n" ); document.write( "distance=rate x time Rate Time Distance \n" ); document.write( "Mandy: rate = 20 mph ; time = t ; distance= 20t \n" ); document.write( "Liz..: rate = 30 mph ; time = t -1 ; distance = 30(t-1) \n" ); document.write( "c. Set the distances equal to one another (they travel the same distance) and solve the equation for t. \n" ); document.write( "20t = 30(t-1) \n" ); document.write( "20t = 30t-30 \n" ); document.write( "10t = 30 \n" ); document.write( "t = 3 hrs \n" ); document.write( "============================ \n" ); document.write( "d. What does t represent? \n" ); document.write( "Mandy's time. \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |