Idk i can't see that, sorry
Fred's overtime rate and pay is $17.925 and $98.5875 respectively
<h3>Total payment</h3>
- Amount paid per hour = $11.95
- Amount paid overtime per hour = $11.95 × 1.5
= $17.925
- Total hours worked last week = 45 1/2 hours
- Overwork time = 45 1/2 hours - 40 hours
= 5 1/2 hours
Fred's overtime pay = 5 1/2 hours × $17.925
= 11/2 × 17.925
= $98.5875
Normal work rate = 40 hours × $11.95
= $478
Fred's total pay = Fred's overtime pay + Normal work rate
= $98.5875 + $478
= $576.5875
Therefore, Fred's total pay is $576.5875
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Answer:
3a = 
Step-by-step explanation:
Given
2a + 4b = 5 ← substitute a = 3b into the equation
2(3b) + 4b = 5
6b + 4b = 5
10b = 5 ( divide both sides by 10 )
b = 
= 
Now
a = 3b = 3 × = 
, thus
3a = 3 × =
(9)
<em>x</em> ° = 1/2 (130° - 30°) = 50°
(due to a theorem about intersecting secants/tangents)
(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then
<em>x</em> ° = 1/2 (240° - 120°) = 60°
(due to the same theorem)
(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that <em>y </em>° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and <em>x</em> ° is the measure of each arc that passes over an edge of the pentagon.
Each arc makes up 1/5 of the circle's circumferece, so
<em>x</em> ° = 360°/5 = 72°
The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)
The angles formed by the tangent to the circle are supplementary, so that
<em>y</em> ° + 108° + <em>y</em> ° = 180°
2<em>y</em> ° = 72°
<em>y</em> ° = 36°
3/5(15d+20)−1/6(18d−12)=38
Simplify
3/5(15d+20)−1/6(18d−12)=38
(3/5)(15d)+(3/5)(20)+−3d+2=38(Distribute)
9d+12+−3d+2=38
(9d+−3d)+(12+2)=38(Combine Like Terms)
6d+14=38
Subtract 14 from both sides.
6d+14−14=38−14
6d=24
Divide both sides by 6.
6d/6 = 24/6
d=4
