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:
Let x = the hours needed for Wanda to catch up to Hector.
Hector has already completed 18 miles. Hector travels at 12 miles per hour.
After x more hours, Hector will travel
18 + 12x miles
Wanda travels at 16 miles per hour. In x hours, she travels
16x miles
If Wanda catches up to Hector, then
16x = 18 + 12x
4x = 18
x = 4.5 hours
Answer: 4 hours, 30 minutes (or 4.5 hours)
Step-by-step explanation:
Answer:
<h3>The answer is 17.5 units</h3>
Step-by-step explanation:
Using the distance formula
<h3>

</h3>
the distance between (-10, 12) and (5, 3) is
<h3>

</h3><h3>

</h3><h3>

</h3><h3>

</h3><h3>

</h3>
d = 17.492855
We have the final answer as
<h3>d = 17.5 units to the nearest tenth</h3>
Hope this helps you