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Cloud [144]
3 years ago
14

Jason has volunteered at the pet shelter 3 more times than Keith. Jason has volunteered 12 times. Which equation represents the

situation? Show work and why
Mathematics
1 answer:
fiasKO [112]3 years ago
3 0
12-3=9
Hope this helped
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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
3 years ago
What is the y intercept?
Aleksandr-060686 [28]

Answer:

-5

Step-by-step explanation:

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2 years ago
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100. When rounding to the hundreds place, you must consider the value of the digit in the tens place. If the digit in the tens place is 5 or greater, the digit in the hundreds place increases by 1. If the digit in the tens place is 4 or less the digit in the hundreds place remains the same. In this case, the number in the hundreds place was originally zero.
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3 years ago
What does and 6 7/12 yards x 3 1/6 = ?
aleksandr82 [10.1K]
Well a<span>ll you have to do is turn one of the numbers from yards to feet or feet to yards, so you can accurately add it. Considering it would be easier to turn the yards to feet, you use the fact that, 1 yard is equal to 3 feet. So the 6 7/12 as feet is now 19.75 feet. So now you multiply them and 3 1/6 times 19.75 is 62.5416666535, and you can round this to just 63.</span>
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2 years ago
Work out the acceleration for the first 3 seconds?
Finger [1]

The acceleration is given by the slope of the line. This line passes through the points (0, 2) and (3, 5), so it has slope

\dfrac{5-2}{3-0}=1

which means the acceleration over this 3 second interval is 1 m/s^2.

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