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Alexxx [7]
3 years ago
9

The drama club is selling tickets for a play. The profit, y, is

Mathematics
1 answer:
Goshia [24]3 years ago
8 0

Answer:

80 tickets

Step-by-step explanation:

Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of  tickets, x, that need to be sold for the drama club to break  even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;

y = x^2 – 40x – 3,200,

0 = x^2 – 40x – 3,200,

x^2 – 40x – 3,200 = 0

x^2 – 80x  + 40x – 3,200 = 0

x(x-80)+40(x-80) = 0

(x+40)(x-80) = 0

x = -40 and x = 80

x cannot be negative

Hence the total number of  tickets, x, that need to be sold for the drama club to break  even is 80 tickets

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Answer:

The solution is x=-2

The mistake could be in operation however here is the all operation

Step-by-step explanation:

Getting each term and sum each one

4x-5=2+3(x-3)\\4x-5=2+3x-9\\4x-5=-7+3x\\4x-3x=-7+5\\x=-2

Check replacing in the original equation:

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3 years ago
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A plane flying over the ocean is on course to land on an aircraft carrier. The diagonal distance between the plane and the aircr
fomenos

Answer:

the plane's current height above the ocean is 3.42 miles

Step-by-step explanation:

Given that the diagonal distance between the plane and the aircraft carrier is 10 miles.

What we need to find is the vertical distance between the plane and the aircraft carrier which is the plane's current height above the ocean. This can be gotten using sine rule.  

For sine rule, you need a side and its opposite angle. For this question the triangle formed is a right angle triangle with diagonal distance, vertical distance and horizontal distance.

let a = diagonal distance = 10 miles

let the opposite angle to the diagonal distance be A = 90° (right angle)

let the vertical distance = b

let the opposite angle to the vertical distance be B = 20°

Sine rule states that    \frac{a}{sin(A)}  =  \frac{b}{sin(B)}

∴   \frac{10}{sin(90)}  =  \frac{b}{sin(20)}

b  =  sin(20)\frac{10}{sin(90)}

b  =  0.342*\frac{10}{1}

⇒ b = 3.42 miles

Therefore the plane's current height above the ocean is 3.42 miles

4 0
3 years ago
List the constant(s) in 2ab + 8 + c - 10
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Answer:

Constants: 8 and 10

Step-by-step explanation:

4 0
3 years ago
Math (will give Brainliest) 1
Zielflug [23.3K]

Answer: Okay! Here is your answer!

Exact form : 41/6

Decimal form : 6.83 (line over the 3)

Mixed number form : 6 5/6

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7 0
3 years ago
A diner asks patrons for their preference for waffles or pancakes and syrup or fruit topping.
prohojiy [21]

Answer:

P (Waffles | Syrup)\neq P(Waffles)

Step-by-step explanation:

From the table we have to:

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If this equality is met, the probabilities are dependent, if on the contrary

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P (Wafles | Syrup) = 0.32 / 0.96 = 0.333 \neq 0.32

So we have to:

P (Waffles | Syrup)\neq P(Waffles)

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3 years ago
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