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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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vector w has magnitude 25.0 and direction angle 41.7 degrees. Calculate the horizontal and vertical components of w
11Alexandr11 [23.1K]

Consider the attached picture. It represents a vector, centered in the origin with angle 41.7 degrees, and a circumference with radius 25, centered in the origin.

As you can see, the horizontal and vertical components of the vector correspond to the lengths of segments OD and OC, respectively.

You might recognize this scenario from you trigonometry class: if the circle had radius 1, we would have

OD=\cos(41.7),\quad OC=\sin(41.7)

Since the circle has radius 25, we have to scale those coordinates:

OD=25\cos(41.7),\quad OC=25\sin(41.7)

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2 years ago
Solve the system of equations given by 5x – 2y = -6 and 15x – 6y = 6
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For 5x-2y=-6 it is 2.5x+3 and for 15x-6y=-6  is 2.5x-1
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2 years ago
According to the food label on a box cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the bo
Inessa [10]

Answer:

1/128 kilograms.

Step-by-step explanation:

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An artist can paint 4 painting in 2 hours. What is the artist’s unit rate?
dolphi86 [110]

All we have to do here is divide 4 by 2

4 ÷ 2 = 2

Therefore, the artist can paint 2 paintings an hour making the unit rate, 2 paintings per hour.

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8 0
2 years ago
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Two rectangular properties share a common side. Lot A is 33 feet wide and 42 feet long.
s344n2d4d5 [400]

Answer:

The width of lot B is 11 feet, so option A is correct.

Step-by-step explanation:

Given:

  • Two rectangular properties share a common side.  
  • Lot A is 33 feet wide and 42 feet long.  
  • The combined area of the lots = 1,848 square feet.  

To find:

How many feet wide is Lot B?  

Solution:

we know that, area of a rectangle is length x breadth

Then area of lot A = 33 x 42 = 1386 square feet.

And area of lot B = width x 42

Now, we are given that, total area = 1848  

area of lot A + area of lot B = 1848  

1386 + width x 42 = 1848  

width x 42 = 1848 – 1386  

width x 42 = 462  

width =\frac{42}{462}

width = 11

Hence, the width of lot B is 11 feet, so option A is correct.

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2 years ago
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