Going into the final exam, which will count as 1/3 of the final grade, Megan had test scores of 94, 81, 87, and 93. What score does Megan need on the final exam in order to have an average of 90?

9514 1404 393

  92.5

Step-by-step explanation:

The total of Megan's scores is ...

  94 +81 +87 +93 = 355

so her current average is 355/4 = 88.75

The score (s) Megan needs for a 90 average is ...

  (2/3)(88.75) +(1/3)s = 90

  2(88.75) +s = 270 . . . . . . . . multiply by 3

  s = 270 -177.5 = 92.5

Megan needs a score of 92.5 on her final to have an overall average of 90.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.