Problem 37
Solve inequality. Write the solution set in interval notation, and graph it. \(-0.02 x \leq 0.06\)
Problem 39
Solve each problem. The length of a rectangle is 9 in. more than the width. The perimeter is 54 in. Find the length and the width of the rectangle.
Problem 43
Solve each problem. The longest side of a triangle is 3 in. longer than the shortest side. The medium side is 2 in. longer than the shortest side. If the perimeter of the triangle is 20 in., what are the lengths of the three sides?
Problem 43
Solve each equation, and check your solution. $$ 1.4 x-3=0.4 x $$
Problem 45
When the lesser of two consecutive integers is added to three times the greater, the result is 43. Find the integers.
Problem 46
Two steamers leave a port on a river at the same time, traveling in opposite directions. Each is traveling at 22 mph. How long will it take for them to be 110 mi apart?
Problem 47
Solve each equation, and check your solution. $$ 1.2 y-4=0.2 y-4 $$
Problem 47
If the sum of three consecutive even integers is \(60,\) what is the first of the three even integers? (Hint: If \(x\) and \(x+2\) represent the first two consecutive even integers, how would you represent the third consecutive even integer?
Problem 50
Solve each equation, and check your solution. $$ 0.3(30)+0.15 x=0.2(30+x) $$
Problem 51
Two cars start from towns 400 mi apart and travel toward each other. They meet after 4 hr. Find the rate of each car if one travels 20 mph faster than the other.