Answer:
t = 3.46 hours, or 3 hours 28 minutes
Step-by-step explanation:
78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.
Donuts produced as a function of time: D(t), where t is the number of hours the macine runs.
Set D(t) = 135 dozen = (39 dozen/hr)t.
Solving this equation for t, we get:
t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes
ANSWER
![238\text{ fruit snacks per after-school program}](https://tex.z-dn.net/?f=238%5Ctext%7B%20fruit%20snacks%20per%20after-school%20program%7D)
EXPLANATION
We have that there are 12 after school programmes and each one got an equal number of packages.
To find the number of fruit snacks that each received, we have to find the total number of fruit snacks.
The total number of fruit snacks can be found by multiplying the number of boxes of each flavor by the number of packages in each box, then adding them up:
![\begin{gathered} \text{TOTAL}=(48\cdot4)+(78\cdot9)+(90\cdot11)+(108\cdot9) \\ \text{TOTAL}=192+702+990+972 \\ \text{TOTAL}=2856\text{ fruit snacks} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BTOTAL%7D%3D%2848%5Ccdot4%29%2B%2878%5Ccdot9%29%2B%2890%5Ccdot11%29%2B%28108%5Ccdot9%29%20%5C%5C%20%5Ctext%7BTOTAL%7D%3D192%2B702%2B990%2B972%20%5C%5C%20%5Ctext%7BTOTAL%7D%3D2856%5Ctext%7B%20fruit%20snacks%7D%20%5Cend%7Bgathered%7D)
Now, to <em>find the number of fruit snacks that each received</em>, divide by 12:
Y > 5x + 5 . . . (1)y > -1/2x + 1 . . . (2)
Part A: The graph of the system are two straight dotted lines with the first line passing through points (-1, 0) and (0, 5) with the region above the line shaded and the second line passing through (0, 1) and (2, 0) with the region above the line shaded. The two lines intersect at point (-8/11, 15/11).
Part B: The point (-2, 5) is included in the solution area.5 > 5(-2) + 5 and 5 > -1/2(2) + 15 > -10 + 5 and 5 > -1 + 15 > -5 and 5 > 0
hope i helped
1 year on Saturn = 29.4 years on Earth.
3.2 * 29.4 = 94.08
94.08 years on Earth are equal to 3.2 years on Saturn.
:)
![\text{State Income Tax Rate: }6.65\%, \\\text{Deduction: }\$7,702.03](https://tex.z-dn.net/?f=%5Ctext%7BState%20Income%20Tax%20Rate%3A%20%7D6.65%5C%25%2C%20%5C%5C%5Ctext%7BDeduction%3A%20%7D%5C%247%2C702.03)
Answer:
State income tax: ![6.65\%](https://tex.z-dn.net/?f=6.65%5C%25)
Step-by-step explanation:
Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.
The chart given for state income tax is broken into two categories:
$21,400-$80,650 => 6.45%
$80,651-$215,400 => 6.65%
Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.
The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:
![115,820\cdot 0.0665=\boxed{\$7,702.03}](https://tex.z-dn.net/?f=115%2C820%5Ccdot%200.0665%3D%5Cboxed%7B%5C%247%2C702.03%7D)