So you want to set up an equation for a weighted average. You know the final is 30% of the grade, so everything else is 70%. This gives you:
(Final)(.30) + (other grades)(.70) = course grade
The best grade the student can get would be if they get a hundred on the final, since that’s the best score you can make on the final. Then,
(100)(.30) + (82)(.70) = course grade
30 + 57.4 = course grade = 87.4 Which, If you round, the student would get an 87.
For the last part, we use the same equation, just filling in different parts.
(Final)(.30) + (other grades)(.70) = course grade
This time, we don’t know the grade for the final, but we know the course grade.
(Final)(.30) + (82)(.70) = 75
(Final)(.30) + 57.4 = 75
(Final)(.30) = 17.6
Final = (17.6)/(.30)
Final = 58.667 Which is approx a 59.
question 6,
Answer : 35.7 degree from north
Step-by-step explanation:
Bearing is angle w.r.t the north.
To calculate this angle we need the angle of the triangle in the diagram.
We know two sides of the triangle the base (18) and Perpendicular(25).
Tan(x) = 25/18
arctan(25/18) = 54.24 deg
Subtracting from 90 to get angle w.r.t north 90-54.24 = 35.7
Question 7,
Solution: 33.12
Explaination
calculate the length of the straw within the glass.
It makes a right angle triangle with the glass, where the length is the hypotenuse.
the base is 9 (radius *2 = 4.5*2)
using Cos(x) = base / hypotenuse
cos(72) = 9 /Hypotenuse
Hypotenuse = 9/cos(72)
Hypotenuse = 29.12
total length is hypotenuse + the length protruding out(4)
29.12 + 4 = 33.12
Answer:
$600 (ML), $200 (MW), $1,035 (total raised), $965 (need to raise needed)
Step-by-step explanation:
50 % 50/100 = 0.5
$1200 x 0.5 = $600 Mrs LeBlanc's class has raised
$600/3 = $200 Ms. Warner's class has raised (MW)
600 + 200 + 235.14 = $ 1,035 Has been raised
1,200 - 1,035 = $965 is the amount they still need to raise
Answer = 12
Explanation:
Let x be Timothy’s present age.
The, Adele’s present age = x+5
After 3 years, Timothy’s age = x+3
Adele’s age = x+5+3 = x+8
According to the question, we have
x + 3 = 2/3 (x+8)
3(x + 3) = 2x + 16
3x + 9 = 2x + 16
3x - 2x = 19 - 9
x = 7
Therefore, Timothy’s current age is 7 years and Adele’s current age is 12 years
