To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.
a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is
$200.
b) An employee must work
43 hours to earn $445.
<span>we have to solve simultaneous equations.
x = 10 oz. boxes
y = 16 oz. boxes
simultaneous equations
x + y = 24 ---1)
3.50x + 5.00y = 97.50 ----2)
to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5
5x + 5y = 120 --3)
subtract 3) - 2)
5x - 3.50x = 120 - 97.50
1.50x = 22.5 x = 15
number of 10 oz. boxes are 15. answer is d.15</span>
Answer:
6 hours
Step-by-step explanation:
Let both of them plan for t hours to plant 111 trees n t hours
Melissa can plants 10 trees in 1 hour
in t hours she can plant 10 t trees
Jane plants 17 tree in 2 hours
in one hour Jane can plant 17/2 trees
in t hours she can plant (17/2)t trees.
Total trees planted by both of them in t hours in terms of t will be
10t + (17/2)t
= (10t*2 + 17t)/2
= (20t + 17t)/2
= 37t/2
but it is given that they planted 111 trees together
so 37t/2 should be equal to 111
37t/2 = 111
=> 37t = 111*2 = 222
=> t = 222/37 = 6.
Thus, it takes 6 hours for both of them to plant 111 trees together.
Answer:
D-FIle her income taxes
Step-by-step explanation:
Well, since you jogged 6/23 mi. a day, for 4 days, it'll be (6/23)×4. This is 24/23 which is one mile and 1/24 of one.
