document.write( "Question 87191: I would appreciate if a tutor would teach me how to solve the following word problems step by step.\r
\n" );
document.write( "\n" );
document.write( "1) Solve the problem.\r
\n" );
document.write( "\n" );
document.write( "The height of a box is 8 inches. The length is three inches more than the width. Find the width if the volume is 560.
\n" );
document.write( "Question 3 answers
\n" );
document.write( " 8 in.
\n" );
document.write( " 10 in.
\n" );
document.write( " 70 in.
\n" );
document.write( " 7 in.
\n" );
document.write( "2) Solve the problem.\r
\n" );
document.write( "\n" );
document.write( "A square lawn has an area of 1568 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle?
\n" );
document.write( "Question 4 answers
\n" );
document.write( " 39.6 feet
\n" );
document.write( " 28 feet
\n" );
document.write( " 56 feet
\n" );
document.write( " 19.8 feet
\n" );
document.write( "3) Answer the question.\r
\n" );
document.write( "\n" );
document.write( "If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y?
\n" );
document.write( "Question 5 answers
\n" );
document.write( " x2 + y2
\n" );
document.write( " x + y
\n" );
document.write( " square root x+y
\n" );
document.write( " square root x^2 + y^2
\n" );
document.write( "4) Solve the problem.\r
\n" );
document.write( "\n" );
document.write( "The area of a square is numerically 117 more than the perimeter. Find the length of the side.
\n" );
document.write( "Question 6 answers
\n" );
document.write( " 85 units
\n" );
document.write( " 52 units
\n" );
document.write( " 13 units
\n" );
document.write( " 338 units\r
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( " \r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #63135 by stanbon(75887) ![]() You can put this solution on YOUR website! 1) Solve the problem. \n" ); document.write( "The height of a box is 8 inches. The length is three inches more than the width. Find the width if the volume is 560. \n" ); document.write( "---------- \n" ); document.write( "Let width be x; length = x+3 \n" ); document.write( "Volume = width*length*height \n" ); document.write( "560 = x(x+3)*8 \n" ); document.write( "70 = x^2+3x \n" ); document.write( "x^2+3x-70=0 \n" ); document.write( "(x+10(x-7)=0 \n" ); document.write( "x=7 inches (width) \n" ); document.write( "x+3=10 inches (length) \n" ); document.write( "=========================\r \n" ); document.write( "\n" ); document.write( "2) Solve the problem. \n" ); document.write( "A square lawn has an area of 1568 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle? \n" ); document.write( "Area = pi(r^2) \n" ); document.write( "1568 = pi(r^2) \n" ); document.write( "r^2 = 1568/pi \n" ); document.write( " r = 22.34 ft. \n" ); document.write( "================ \n" ); document.write( "3) Answer the question. \n" ); document.write( "If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y? \n" ); document.write( "Question 5 answers\r \n" ); document.write( "\n" ); document.write( "Answer: square root (x^2 + y^2) \n" ); document.write( "------------------------ \n" ); document.write( "4) Solve the problem. \n" ); document.write( "The area of a square is numerically 117 more than the perimeter. Find the length of the side. \n" ); document.write( "Perimeter = 4s \n" ); document.write( "Area = s^2 \n" ); document.write( "Area = 4s+117 \n" ); document.write( "s^2-4s-117 = 0 \n" ); document.write( "(s-13)(x+9)=0 \n" ); document.write( "Answer: s = 13 units \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |