I think so 3 times because the first time the total was 2
2*3 is 6
Answer:
z =23
Step-by-step explanation:
The three angles in a triangle add to 180 degrees.
62+95+z = 180
Combine like terms
157 +z = 180
Subtract 157 from each side
157-157 +z = 180-157
z =23
Answer:
<em>The student completed 13 courses worth 3 credits</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's assign the following variables:
x = number of courses worth 3 credits
y = number of courses worth 4 credits
Some student completed 18 courses thus:
x + y = 18 [1]
The student earned a total of 59 credits:
3x + 4y = 59 [2]
From [1]:
y = 18 - x
Substituting in [2]:
3x + 4(18 - x) = 59
Operating:
3x + 72 - 4x = 59
Simplifying:
-x = 59 - 72 = -13
x = 13
The student completed 13 courses worth 3 credits
-7x+y=42
y=42+7x
5x+13y=66
Substitute for y (meaning put 42+7x into the equation above instead of y because they are equal - see second line of my answer above)
5x+13[42+7x] = 66
5x +546 = 66
5x=66-546
5x=-480
x=-480/5
x=-96
Average speed of cyclist = x
average speed of car = 3x
x = 225/5
x = 45km/h
3x = 3(45)
3x = 135km/h
average speed of cyclist = 45km/h
average speed of car = 135km/h
