Danielle has the following averages in his
math class:
homework avg : 80
quiz avg.: 84-
test ayg: 74
final exam: 60
if the teacher weights homework at 10%,
quizzes at 30%, tests at 40%, and the final
exam at 20%, what is danielle's class
average?
a. 82
c. 79
d.-77
- b. 75
-
-
in

75

Step-by-step explanation:

given averages

Homework Avg : 80

Quiz Avg.: 84-

Test Ayg: 74

Final Exam: 60

weights

Homework at 10%,

Quizzes at 30%,

Tests at 40%

Final  Exam at 20%

required to find daniels class average

we know that weighted average=

average=

average=74.8≈75

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)