Answer:
Step-by-step explanation:
Assuming the maximum score for the final is 
, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of , their overall grade for the course would be:
.
To find the minimum score they need to earn a 75% for the course, we set up the following equation:
, where 
is the minimum score she needs.
Solving, we get:
.
Answer:
90 degrees, 60 degrees and 30 degrees
Step-by-step explanation:
90/3 = 30
30 x 2 = 60
Answer:
5/3
Step-by-step explanation:
Answer:
500 g = 0.5 kg
Step-by-step explanation:
1 kg = 1000 g
500 g = 0.5 kg
Answer:
The length is 23 inches and the width is 6 inches.
Step-by-step explanation:
The perimeter for a rectangular shape is represented as:
P = 2L + 2W, where L represents length and W represents width
We can represent the length as:
L = 3W + 5
Substituting this into the perimeter function, we get:
P = 2 (3W + 5) + 2W
Substituting 58 for P, we get:
58 = 2 (3W + 5) + 2W
58 = 6W + 10 + 2W
58 = 8W + 10
58 - 10 = 8W + 10 - 10
48 = 8W
48 / 8 = 8W / 8
6 = W
With 6 being the established value for the width, we can substitute this back into the equation for length:
L = 3W + 5
L = 3(6) + 5
L = 18 + 5
L = 23
To check our work, we can substitute both the width and length into the perimeter equation:
P = 2L + 2W
58 = 2(23) + 2(6)
58 = 46 + 12
58 = 58
Therefore, length is 23 inches and the width is 6 inches.
