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natima [27]
2 years ago
10

yon buys tickets to a concert for himself and a friend. there is a tax of 6% on the price of the tickets and an additional booki

ng fee of $20 for transaction. write an algebraic expression to represent the price per person. simplify the expression if possible.
Mathematics
2 answers:
kompoz [17]2 years ago
5 0
So, this is how much each of you pay, 1.06x+10
Alchen [17]2 years ago
4 0

Answer:

1.06x+20

Step-by-step explanation:

Let x represent cost of each ticket.

We have been given that Yon buys tickets to a concert for himself and a friend. There is a tax of 6% on the price of the tickets.

The cost of each ticket after tax would be x plus 6% of x.

\text{Cost of each ticket after tax}=x+\frac{6}{100}x

\text{Cost of each ticket after tax}=x+0.06x

\text{Cost of each ticket after tax}=1.06x

We are also told that the ticket includes an additional booking fee of $20 for transaction. So the total cost of ticket would be 1.06x+20.

Therefore, the cost of each ticket is 1.06x+20.

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The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?
JulsSmile [24]
For this case what you should see is that for the interval [9, 11] the behavior of the function is almost linear.
 Therefore, we can find the average rate of change as follows:
 m = (y2-y1) / (x2-x1)
 m = (11-6) / (11-9)
 m = (5) / (2)
 m = 5/2
 Answer:
 the average rate of speed over the interval [9, 11] is: 
 D. 5 / 2
8 0
1 year ago
Read 2 more answers
Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is S
Lubov Fominskaja [6]
<h2>Explanation:</h2><h2></h2>

We know that the volume of a prism is defined by:

V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}

Substituting values:

V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}

Finally: \\ \\  \boxed{V=\frac{4}{3\left(d-4\right)}}

4 0
2 years ago
Read 3 more answers
. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency
Vedmedyk [2.9K]

Answer:

4

Step-by-step explanation:

Given that :

Clients are interviewed in groups of 2 on the first day; meaning two persons at a time

Second day, clients are interviewed in groups of 4; meaning 4 persons at a time.

Therefore, if the same number of clients are to be interviewed on each day, the smallest number of clients that could be interviewed each day could be obtained by getting the Least Common Multiple of both numbers: 2 and 4

- - - - 2 - - - 4

2 - - - 1 - - - 2

2 - - - 1 - - - 1

Therefore, the Least common multiple is (2 * 2) = 4

Therefore, the smallest number of clients that could be interviewed each day is 4.

5 0
1 year ago
3(x+y)=y, if (x,y) is a solution to the equation above and y cannot equal to zero what is the ratio x/y
irakobra [83]
*Given
3(x+y)=y
y is not equal to zero

*Solution 

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis, 

                        3(x+y) = y
                      3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                              3x = -2y

Dividing both sides of the equation by 3, 

                                x = (-2/3)y

Dividing both sides of the equation by y, 

                              x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero. 
                             


6 0
1 year ago
Tyler is bored in history class, so he is staring at the ceiling tiles. He notices that some tiles are perfect squares, while ot
finlep [7]

Answer:

The complete tables are shown below.

The value of <em>x</em> is 70.59%.

Step-by-step explanation:

<u>Absolute frequency table:</u>

         Square   Rectangle Row Total

Bright            25         10              35

Off White    <u>23</u>         10              <u>33</u>

Column Total    <u>48</u>         20              <u>68</u>

<u>Relative frequency table</u>

                                   Square Rectangle Row total

                 Row%      71.43%  28.57%          100.00%

Bright Column%     52.08%  50.00%             ____

                 Total%      36.76%    14.71%            51.47%

                   Row%      69.70%  30.30%          100.00%

Off White  Column%   47.92%  50.00%              ___

                   Total%      33.83%    14.71%           48.53%

                   Row%          ____                  ____            100.00%

Column  Column%       100.00%           100.00%  100.00%

                  Total%       <u><em>x</em></u><u>  = 70.59%</u>     29.41%  100.00%

\text{Value of}\ x=100.00\%-29.41\%=70.59\%

8 0
2 years ago
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