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Sunny_sXe [5.5K]
3 years ago
7

Originally 21 acts were tentatively to perform at the arena ; only 10 have been booked. What is the shortfall if the other acts

do not perform, assuming an average profit margin of 175000 for each concert
Mathematics
2 answers:
Yakvenalex [24]3 years ago
8 0
Find the number of acts not booked = 21 - 10 = 11

multiply by the profit for each act 11 * 175000 = $1,925,000 shortfall
anyanavicka [17]3 years ago
8 0

Answer:

The shortfall was of $19,25,000.

Step-by-step explanation:

Originally 21 acts were tentatively to perform at the arena.

Only 10 have been booked.

Means 21-10=11 acts were not booked.

Lets say the average profit margin of each concert is = $175000

So, 11 acts would have earned a profit of = 11\times175000=1925000 dollars

So, the shortfall was of $19,25,000.

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What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6
anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)  

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

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Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

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Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

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When y = -6

x = 6 + (-6)

x = 6 -6

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∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)  

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

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Step-by-step explanation:

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Step-by-step explanation:

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