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Question
in a math competition, every correct answer gains three points, every incorrect answer loses one point, and every unanswered question neither gains nor loses points. which of the following shows the correct calculations and result of a test that had five correct answers and eight incorrect answers? select one of four 5(3) + 8(-1) = 7 5(3) - 8(-1) = 7 3(5) - 1(8) = 23 3(5) - 1(-8) = 23 remaining attempts: 1
Step1: Calculate points from correct answers
Each correct answer gives 3 points, and there are 5 correct answers. So points from correct answers: \(5\times3\)
Step2: Calculate points from incorrect answers
Each incorrect answer loses 1 point (which is equivalent to gaining -1 points), and there are 8 incorrect answers. So points from incorrect answers: \(8\times(-1)\)
Step3: Total points
Total points is the sum of points from correct and incorrect answers: \(5(3)+8(-1)\)
Now calculate the value: \(5\times3 + 8\times(-1)=15 - 8 = 7\)
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\(5(3)+8(-1)=7\) (the first option)