Step-by-step explanation:
The final grade is the average of the two semesters.
70 = ½ (60 + x)
x = 80
So Catherine needs a Semester 2 grade of 80%.
The average of RC3 and RC4 is ½ (62 + 53) = 57.5. This accounts for 90% of the Semester 2 grade. The other 10% is the Spring final.
80 = 0.90 (57.5) + 0.10 (x)
x = 282.5
Catherine would have to score 282.5% on the Spring final in order to pass.
To simply determine if the solution is true. Simply plug in and or substitute the values of w for the expression. Then see if the left hand side is equal to the right side of the equation.
Answer:
1. (i) 7, 21, 63, 189
(ii) 20, 10, 5, 2.5
2. (i) n²+n (where n = 1, 2, 3, ..)
(ii) 8/(10^n) (where n = 1, 2, 3, ..)
(iii) 1/(n+1) (where n = 1, 2, 3, ..)
36 and 100 are both divisible by 4 which gives 9 over 25. That's all you can do to simplify it.
Hope this helps!