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tigry1 [53]
1 year ago
8

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollar

s for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?
Mathematics
2 answers:
adelina 88 [10]1 year ago
6 0
Cost=flatfee+changingfee
flatfee=5.50
changingfee=costperticket times number of tickets

we know that 5 times cost per ticket=108
divide by 5
cost per ticket=21.6
c=number of tickets

totalcost=5.5+21.6c
TC=21.6c+5.5
erica [24]1 year ago
5 0

Let

c--------> the total cost

x------> the number of tickets

z------> the cost of one ticket without service fee

we know that

108=5.50+5z

solve for z

combine like terms

5z=108-5.50

5z=102.50

z=\$20.50

The linear function is equal to

c=5.50+20.50x

therefore

<u>the answer is</u>

c=5.50+20.50x

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loris [4]

Answer:

13-+4

Step-by-step explanation:

3 0
2 years ago
Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What
Lelechka [254]

<u>Answer:</u>  d. $62,080

<u>Step-by-step explanation:</u>

<u></u>

The capital gain is the profit earned from an investment whereas the passive income is the income generated by very minimal daily efforts.

Given: Annual income earned by Lenny = \$58,475

Passive income =  \$1,255

Capital gain =  \$2,350

Now,  \text{Total gross income =Annual income+Passive income+Capital gain}

=\$58,475+\$1,255+\$2,350=\$62,080

Hence, Lenny's total gross income for the year = $62,080

4 0
1 year ago
Read 2 more answers
The CEO of a local tech company wants to estimate the proportion of employees that are pleased with the cleanliness of the break
Zigmanuir [339]

Answer:

Methods of obtaining a sample of 600 employees from the 4,700 workforce:

Part A:  The type of sampling method proposed by the CEO is Convenience Sampling.

Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender.  Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.

Step-by-step explanation:

A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees).  The early attendees might be different from the late attendees in characteristics such as age, sex, etc.  Therefore, sampling biases are present.  All non-probability sampling methods are prone to volunteer bias.

Stratified sampling  is more accurate and representative of the population.  It reduces sampling bias.  The difficulty arises in choosing the characteristic to stratify by.

3 0
1 year ago
AC CE and D is the midpoint of CE. IF CE 10x + 18, DE =7x -1, and BC = 9x - 2, find AB, AB =
Anastasy [175]

Answer:

<h3>      If you mean: AC=CE, the answer is:  AB = 24</h3>

Step-by-step explanation:

D is the midpoint of CE, then

CD = DE = 0.5CE = 0.5(10x+18) = 5x + 9

So:   5x + 9 = 7x - 1

            -9          -9

        5x  =  7x - 8

        -7x      -7x

       -2x  =  -8

      ÷(-2)       ÷(-2)        

          x  =  4

AC = CE = 10x + 18 = 40 + 18 = 58

BC = 9x - 2 = 36 - 2= 34

AB = AC - BC = 58 - 34 = 24

4 0
2 years ago
There is 5/6 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1/6 of the pie that was left. How much of the whole
Lady_Fox [76]
5/6 = 83% 
1/6= 16%

83% of the apple pie was left from dinner. 
Victor is gonna eat 16% of the pie tomorrow 
You have to subtract 16% from 83%
In other words 5/6-1/6


The denominators are same so you don't have to do anything to them  
5/6 - 1/6 

5-1=4

4/6 of the pie would be left 
In simplest form it would be 

4/6     <span> ÷2</span>
=2/3

2/3 is in simplest form 

5 0
1 year ago
Read 2 more answers
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