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3 years ago

Please help me thank you. I have 3 questions.

Mathematics

1 answer:

weeeeeb [17]3 years ago

5 0

The first one is D because c represents the x and b represents the y. For the second one:
38(2) = 76
180-76 (this is the sum of the unknown measures)
104/2 (finds the measure of each angle)
52
I am unsure of the final one though.
Hope this helps!

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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) ⇒ (-) 8x - 32y = -50

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

Find the percent of change when the price of a radio changes from $40.00 to $44.00.

HACTEHA [7]

1) 10%
2)12%
3)20%
4)8%
5)50%

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3 years ago

What is the 6th term of the geometric sequence 4, −20, 100, ...?

shtirl [24]

Let's calculate r of this G.P: (-20)/(4) = - 5(100)/(-20) = - 5So r = -5
The formula to find the nth term of a GP is;
a(n) = a(r)ⁿ⁻¹
a₆ = a(r)⁶⁻¹
a₆ = 4(-5)⁵ = -12500

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3 years ago

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A slope of - 5/3 passes through (-6, 8)

Kobotan [32]

Answer:

y=-5/3x-2

Step-by-step explanation:

7 0

2 years ago

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If you just write whatever just for the points i will report you.