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The Mars Odyssey spacecraft was launched in 2001 , beginning a multiyear mission to observe and map the planet Mars. Mars Odyssey was launched on Boeing's Delta II 7925 launch vehicle using nine strap-on solid rocket motors. Each solid rocket motor has a height that is 8 meters more than 5 times its diameter. If the sum of the height and the diameter for a single solid rocket motor is 14 meters, find each dimension. (Recently, NASA approved a continuation of the Odyssey mission through September 2010.) (Source: NASA)

Solve. $$ \frac{1}{11}=y+\frac{10}{11} $$

\(6.3=-0.6 x\)

Solve each inequality. Write each answer using solution set notation. $$ 7(x-2)+x \leq-4(5-x)-12 $$

The average number of children born to each U.S. woman has decreased by \(44 \%\) since 1920 . If this average is now \(1.9,\) find the average in \(1920 .\) Round to the nearest tenth.

\(6 x+10=-20\)

Solve. $$ -6.5-4 x-1.6-3 x=-6 x+9.8 $$

If the sum of a number and five is tripled, the result is one less than twice the number. Find the number.

Solve each inequality. Write each answer using solution set notation. $$ -5(1-x)+x \leq-(6-2 x)+6 $$

A Japanese "bullet" train set a new world record for train speed at 552 kilometers per hour during a manned test run on the Yamanashi Maglev Test Line in April 1999. The Yamanashi Maglev Test Line is 42.8 kilometers long. How many minutes would a test run on the Yamanashi Line last at this record- setting speed? Round to the nearest hundredth of a minute.