The algebraic equation "0.40x = 400" represents the words: forty percent of Mrs. Garcia's score is 400 points. Mrs. Garcia's score is 1000.
Algebraic equation is an equation made up of variables and coefficients that can be used to solve mathematical problems or questions.
To formulate an algebraic equation, we designate a variable for unknown values.
Mrs. Garcia's score is unknown, and so
let x = Mrs. Garcia's score
Based on the information given on the problem, forty percent of Mrs. Garcia's score is 400 points. Forty percent can be written as 0.40.
40% of x is 400
0.40x = 400
Hence, the algebraic equation for that is 0.40x = 400.
Evaluating the value of x,
0.40x = 400
x = 400 / 0.40
x = 1000
Therefore, Mrs. Garcia's score is 1000.
To learn more about algebraic equations: https://brainly.com/question/4344214
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