Problem 31
Solve each problem. Grant Wood painted his most famous work, American Gothic, in 1930 on composition board with perimeter 108.44 in. If the rectangular painting is 5.54 in. taller than it is wide, find the dimensions of the painting. (Data from The Gazette.)
Problem 33
Solve each problem. The Bermuda Triangle supposedly causes trouble for aircraft pilots. It has a perimeter of \(3075 \mathrm{mi}\). The shortest side measures 75 mi less than the middle side, and the longest side measures 375 mi more than the middle side. Find the lengths of the three sides.
Problem 36
Solve each inequality. Graph the solution set, and write it using interval notation. $$ |4 x+1| \geq 21 $$
Problem 36
Solve each compound inequality. Graph the solution set, and write it using interval notation. $$ x \geq 1 \quad \text { or } \quad x \geq 8 $$
Problem 36
Solve each equation, and check the solution. If applicable, tell whether the equation is an identity or a contradiction. \(4(x-2)+2(x+3)=6\)
Problem 38
In \(2007,\) rain shortened the Indianapolis 500 race to \(415 \mathrm{mi}\). It was won by Dario Franchitti, who averaged \(151.774 \mathrm{mph}\). What was his time to the nearest thousandth?
Problem 39
Solve each inequality. Graph the solution set, and write it using interval notation. $$ |-5 x+3| \geq 12 $$
Problem 39
Solve each compound inequality. Graph the solution set, and write it using interval notation. $$ x \geq-2 \quad \text { or } \quad x \leq 4 $$
Problem 41
Solve each equation, and check the solution. If applicable, tell whether the equation is an identity or a contradiction. \(-2(x+3)-x-4=-3(x+4)+2\)
Problem 43
The base of the Great Pyramid of Cheops is a square whose perimeter is \(920 \mathrm{~m}\). What is the length of each side of this square?