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3 years ago

The theater director recorded the number of seats occupied at past performances and the total revenue per

Mathematics

1 answer:

Norma-Jean [14]3 years ago

4 0

Answer:

<u>$45</u> (with the assumption made below)

Step-by-step explanation:

The equation is garbled; thus, to explain you I will assume the equation is

R(s) = -325 + 14s

Where:

R(s) is the revenue in dollars, as a function of the number of seats occupied.
s is the variable that represents the number of seast occupied
14 is the rate of change of the revenue per seat occupied (the price of a ticket).
-325 is the fixed cost of the theater for a performance (the amount of money the theater will lose if none seat is occupied).

Thus, you can predict the revenue when 70 seats are occupied by substituting s with 70.

R(70) = -325 + 14(70)

R(70) = -325 + 980 = $655

The <em>residual value</em> from a prediction is equal to the real value (observed value) less the preducted value:

Residual = real revenue - predicted revenue

Residual = $700 - $655 = $45

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26. During a sale, a store offered a 20% discount on a particular camera that was originally priced at $450.

NARA [144]

Answer:

D.$315

Step-by-step explanation:

$450=100%

100%-20%-10%=70%

$450×70%=$450×70/100

=$315

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2 years ago

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You kept track of the numbr of minutes you spent on homework for one week. 18, 20, 22, 11, 19, 18, 18 What is range of minutes y

frosja888 [35]

Answer:

your range is 11

Step-by-step explanation:

22-11= 11

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3 years ago

Add 3 feet 6 inches+8 feet 2 inches+4 inches+2 feet 5 inches. 4. In a grocery store, steak costs $3.85 per pound. If you buy a t

AnnZ [28]

Answer:

The sum of the measurement is 14 feet 5 inches.

Hence, you will get the change of $8.45

The required sum is 46 minutes 5 seconds.

Step-by-step explanation:

Consider the provided information.

Add 3 feet 6 inches+8 feet 2 inches+4 inches+2 feet 5 inches.

In order to add the measurement add inches with inches and feet with feet as shown.

3 feet + 8 feet + 2 feet and 6 inches + 2 inches + 4 inches + 5 inches.

13 feet 17 inches

As we know 1 feet = 12 inches

Thus 17 inches can be written as: 1 feet 5 inches

Hence, 13 feet 17 inches = 14 feet 5 inches

The sum of the measurement is 14 feet 5 inches.

Part (B) In a grocery store, steak costs $3.85 per pound. If you buy a three-pound steak and pay for it with a $20 bill, how much change will you get?

Steak costs $3.85 per pound and you buy a three pound steak.

So, the cost will be:

$3.85×3=$11.55

You pay $20 so the change you will get is:

$20-$11.55=$8.45

Hence, you will get the change of $8.45

Part (C) Add 8 minutes 32 seconds+37 minutes 18 seconds+15 seconds.

In order to add the time add minutes with minutes and seconds with seconds as shown.

8 minutes+37 minutes and 32 seconds+ 18 seconds+15 seconds.

45 minutes 65 seconds

As we know 1 minute = 60 seconds

Thus 65 seconds can be written as: 1 minute 5 seconds

Hence, 45 minutes 65 seconds = 46 minutes 5 seconds

The required sum is 46 minutes 5 seconds.

6 0

3 years ago

David estimates that he will have expenses totaling $24,870 for one year of college, He will receive$7,560 in grants. Howmuch wi

noname [10]

Since there are 2 semesters per year we have:

(1/2)(24,870 - 7,560) = $8,655

David would have to contribute $8,655 per semester.

5 0

3 years ago

Read 2 more answers

6.81 is what percent of 45.5

frosja888 [35]

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 45.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 45.5 is 100%, so we can write it down as 45.5=100%.

4. We know, that x is 6.81% of the output value, so we can write it down as x=6.81%.

5. Now we have two simple equations:

1) 45.5=100%

2) x=6.81%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

45.5/x=100%/6.81%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.81% of 45.5

45.5/x=100/6.81

(45.5/x)*x=(100/6.81)*x - we multiply both sides of the equation by x

45.5=14.684287812041*x - we divide both sides of the equation by (14.684287812041) to get x

45.5/14.684287812041=x

3.09855=x

x=3.09855

now we have:

6.81% of 45.5=3.09855

Hope this helps!

4 0

3 years ago

Read 2 more answers