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Lunna [17]
2 years ago
12

Based on past musical productions, a theater predicts selling 400−8p number of tickets when each ticket is sold at p dollars. Us

ing the table from the last question answer the following questions:
1. For which ticket prices will the theater earn no revenue? Explain how you know.


2. At what ticket prices should the theater sell the tickets if it must earn at least $3,200 in revenue to break even (to not lose money) on the musical production? Explain how you know.
Mathematics
1 answer:
Dvinal [7]2 years ago
7 0

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

<h3>What is an Equation</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Revenue = number of tickets sold * price per ticket = (400 - 8p)p

Revenue = 400p - 8p²

For no revenue:

400p - 64p² =  0

p = $0 or p = $50

For revenue of atleast 3200:

400p - 8p² =  3200

p = $10 or p = $40

To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

Find out more on Equation at: brainly.com/question/1214333

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A coffee table is on sale for 20% off the original price of $115.
katen-ka-za [31]

Answer:

$98.90

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5 0
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What is equivalent ratio of 5:8:4 and explain how u got it
igor_vitrenko [27]

this is example

So, first we need to write the given ratio as fraction,

= 8/18

= (8 × 2)/(18 × 2)

= 16/36

= 16 : 36 (one equivalent ratio),

So, 16 : 36 is an equivalent ratio of 8 : 18.

Now we will find another equivalent ratio of 8 : 18 by using division.

Similarly, first we need to write the given ratio as fraction,

= 8/18

= (8 ÷ 2)/(18 ÷ 2)

= 4/9

= 4 : 9 (another equivalent ratio)

So, 4 : 9 is an equivalent ratio of 8 : 18.

Therefore, the two equivalent ratios of 8 : 18 are 16 : 36 and 4 : 9.

2. Frame two equivalent ratios of 4 : 5.

Solution:

To find two equivalent ratios of 4 : 5 we need to apply multiplication method only to get the answer in integer form.

First we need to write the given ratio as fraction,

= 4/5

= (4 × 2)/(5 × 2)

= 8/10

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Similarly again, we need to write the given ratio 4 : 5 as fraction to get another equivalent ratio;

= 4/5

= (4 × 3)/(5 × 3)

= 12/15 is another equivalent ratio

Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Note: In this question we can’t apply division method to get the answer in integer form because the G.C.F. of 4 and 5 is 1. That means, 4 and 5 cannot be divisible by any other number except 1.

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3 years ago
Work out the value of (3.5 x 10^6) ÷ (5 x 10^-3)<br>give your answer in standard form.
Debora [2.8K]
I hope this helps you



3.5×10^6/5×10^-3


35×10^5/5×10^-3


7×10^5×10^3


7×10^5+3


7×10^8


700000000
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