-------------------------------------------------- Define length and width -------------------------------------------------- Let x be the width width = x Length = 2x + 4
-------------------------------------------------- Formula -------------------------------------------------- Perimeter = 2(length + width)
-------------------------------------------------- Find Length and width -------------------------------------------------- 62 = 2(2x + 4 + x) 62 = 2(3x + 4) <em> ← combine like terms </em> 62 = 6x + 8 <em>← remove bracket </em> 62 - 8 = 6x <em>← minus 8 on both sides </em> 6x = 54 <em> ← swap sides </em> x = 54 ÷ 6 <em>← divide by 6 on both sides</em> <em>x = 9 m</em>
-------------------------------------------------- Find Length and Width -------------------------------------------------- Width = x = 9 m Length = 2x + 4 = 2(9) + 4 = 22 m
There are 6! possible permutations of the blue books, 2 possible permutations of the red books, 4! possible permutations of the green books and 3! possible permutations of the three color groups. therefore the total number of ways of arranging the books is given by:
When converting ounces to teaspoons, multiply the number of ounces by 6. There are 6 teaspoons in 1 ounce. So, multiplied by 18, that equates to 108 teaspoons of juice in the can.