N = regular rate
1.4n= overtime rate
30n + 5(1.4n) = $436.60 (30 hours x regular rate n) plus 5 hours at 1.4 times reg rate.
30n + 7n = $436.60 now add like terms
37n = $436.60 now divide both sides by 37
n= $11.80
Check to see if my answer is reasonable 30 x 12= 360 + 5 x 10 x 1.4 = about 70 (notice that I used 10 instead of 12 here so I could do it in my head)
360 + 70 = 430 - close enough - my answer is reasonable
Check:
(30 x $11.80) + 5 ( 1.4 x 11.80
354 + 5( 16.52)
354 + 82.60 = 436.60 ($436.60)
Answer:
a=21
b=69
c=42
d=138
Step-by-step explanation:
c is supplementary to d (which is 138), so c=180-138= 42.
angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.
angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.
Five is 11 and negative 11 because double negative equals a positive
Answer:

Step-by-step explanation:
Gradient



Equation of a line

- Sub one set of points into equation

Answer:
3/32
Step-by-step explanation:
To get this answer, multiply the numerators together and the denominators together
3x1=3
4x8=32
3/32