Question 638354
A professor announces that course grades will be computed by taking 40% of a student's project score (0-100 points) and adding 60% of the students final exam score (0-100 points). If a student gets an 86 on the project, what scores can she get on the final exam to get a course grade of at least 90?

These are some conclusions I've made, which may or may not be correct. 
40%(86)+60%(x) is greater than or equal to 90. I am confused by the word "And" in the problem.  Does this let me know that this is a compound inequality? If so, what other numbers do I use to create another inequality...100? 


Your inequality is correct. What "and" are you referring to?


{{{.4(86) + .6(x) >= 90}}} 


{{{34.4 + .6x >= 90}}}


{{{.6x >= 90 - 34.4}}} 


{{{.6x >= 55.6}}} 


{{{x >= 55.6/.6}}}


{{{x >= 92.6667}}}


x, or scores the student needs on the final to score at least a 90 MUST BE > OR = {{{highlight_green(92.67)}}}%


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