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aniked [119]
3 years ago
11

Tracie buys tickets to a concert for herself and two friends. There is an 8% tax on the cost of the tickets and an additional 10

$ booking fee. What would the Algebraic Expression Be?
Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0
Hello,

If Tracie is buying tickets for herself and two friends, then she is buying a total of 3 tickets.

Let x = the cost of 1 ticket

3 tickets = 3x

There is an 8% tax, which can also be stated as 0.08. But, this tax is added onto the price of the 3 tickets, which is equal to 3x.

So, we have 1.008(3x) = 3.024x
But, there is a $10 booking fee, this is regardless of how many tickets are purchased, so it is simply an additional 10$ to the cost.

So, the answer is 3.024x + 10, 
where x = the price of 1 ticket

Hope this helps!


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Uma rede de supermercados fornece a seus clientes um cartão de crédito cuja identificação é formada por 3 letras distintas (dent
Vitek1552 [10]

Answer:

The correct option is (A) 33,600.

Step-by-step explanation:

The question is:

A supermarket chain provides its customers with a credit card whose identification is formed by 3 different letters (among 26), followed by 4 different digits. A given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1. The total number of distinct cards offered by such supermarket chain for that city is A) 33600 B) 37800 C) 43200 D ) 58500 E) 67600

Solution:

The general format of the credit cards provided by a supermarket chain is as follows:

<u>X</u> <u>X</u> <u>X</u> <u>#</u> <u>#</u> <u>#</u> <u>#</u>

Here, <em>X</em> represents letters and # represents numbers.

All the three letters have to different and all the four numbers have to different, i.e. no repetition allowed.

It is provided that a given city will receive cards with L as the third letter, the last number is zero and the penultimate is 1.

Then the general format of this cities credit cards is as follows:

<u>X</u> <u>X</u> <u>L</u> <u>#</u> <u>#</u> <u>1</u> <u>0</u>

Now there are two spaces left for letters and 2 for numbers.

As there are no repetition allowed the two letter spaces can be filled by:

Number of ways to select 2 letters = 25 × 24 = 600

And the number of ways to select two numbers when there is no repetition allowed is:

Number of ways to select 2 numbers = 8 × 7 = 56

Compute the total number credit cards available at the supermarket as follows:

Total number credit cards = 600 × 56 = 33600

Thus, the total number of distinct cards offered by such supermarket chain for that city is 33,600.

The correct option is (A).

3 0
2 years ago
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 st
wariber [46]

Answer: The price of an adult ticket = $6

The price of a student ticket = $12

Step-by-step explanation:

Let the price of an adult ticket be a

Let the price of a student ticket be b.

From the question,

5a + 14b = 198 ...... equation i

10a + 8b = 156....... equation ii

Multiply equation i by 10

Multiply equation ii by 5

50a + 140b = 1980 ...... equation iii

50a + 40b = 780 ....... equation iv

Subtract iv from iii

100b = 1200

b = 1200/100

b = 12

Put the value of b into equation ii

10a + 8b = 156

10a + 8(12) = 156

10a + 96 = 156

10a = 156-96

10a = 60

a = 6

The price of an adult ticket = $6

The price of a student ticket = $12

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