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The sum of three consecutive even integers is 102. What is the value of the largest consecutive integer?
Three consecutive even integers are numbers in order such as 4, 6, and 8 or -30, -28 and -26 that are each 2 numbers apart. Let x = the ?rst and smallest consecutive even integer. Let x + 2 = the second consecutive even integer. Let x + 4 = the third and largest consecutive even integer. Sum is a key word for further so the equation becomes (x)+ (x + 2) + (x + 4) = 102. Combine such as terms on the left side of the equation: 3x + 6 = 102. Subtract 6 from both sides of the equation: 3x + 6 - 6 = 102 - 6; simplify: 3x = 96. Divide each side of the equation by 3: 3x/3 = 96/3. The variable is now alone: x = 32; thus the further larger integer is: x + 2 = 34. The largest even integer would be: x + 4 = 36.
Draw the parametric curve for the subsequent set of parametric equations. X = t 2 +t Y=2t-1 -1 t 1 Solution Note that the only dissimilarity here is the exis
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What percent of the figure below is shaded? Break the rectangle into eighths as shown below. The shaded part is 6/8 or 3/4; 3/4 is 75%.
Manuel is a cross-country runner for his school’s team. He jogged along the perimeter of a rectangular field at his school. The track is a rectangle that has a length that is 3 tim
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