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qaws [65]
3 years ago
5

Tickets to a concert cost $70, or $20 with a student discount. Ticket sales must exceed $500,000 for the group to perform. If 20

,000 seats are available, how many of each type must be sold?Write a system of inequalities to represent this scenario.  Label the variables. Do not solve.
Mathematics
2 answers:
Tasya [4]3 years ago
5 0

Answer:

A system of inequalities to represent this scenario :

x+y \leq 20000

70x+20y\geq 500000

Step-by-step explanation:

Let x be the no. of normal ticket sold

Let y be the no. of tickets sold with student discount

We are given that 20,000 seats are available

So, x+y \leq 20000

Cost of normal ticket = $70

Cost of x normal tickets = 70x

Cost of student discount ticket = $20

Cost of y normal tickets = 20y

We are given that  Ticket sales must exceed $500,000

So, 70x+20y\geq 500000

A system of inequalities to represent this scenario :

x+y \leq 20000

70x+20y\geq 500000

Angelina_Jolie [31]3 years ago
4 0

Solution:

Let x = the number of $70 seats sold

Let y = the number of $20 seats sold

x+y ≤ 20,000

70x+20y > 500,000

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Suppose an ant walks counterclockwise on the unit circle from the point to the endpoint of the radius that forms an angle of rad
serg [7]

Answer:

\frac{4\pi}{3}

Step-by-step explanation:

The original questions is suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis.

To find the distance ant walked we find the arc length of the sector with central angle 240 degree and radius =1 (unit circle)

arc length of a sector =\frac{centralangle}{360} \cdot 2\pi r

arc length of a sector =\frac{240}{360} \cdot 2\pi(1)

arc length of a sector =\frac{2}{3} \cdot 2\pi

\frac{4\pi}{3}

6 0
3 years ago
Can someone give me the answers plz:)
Alborosie

Remark

There is no short way to do this problem and no obvious way to get the answer other that to solve each part.  

Solve

A

\dfrac{x + 1.6}{2} =\text{x + 0.1}                    Multiply by 2

x + 1.6 = 2(x + 0.1)                                         Remove the brackets

x + 1.6 = 2x + 0.1*2                                        

x + 1.6 = 2x + 0.2                                          Subtract x from both sides

1.6 = x + 0.2                                                  Subtract 0.2 from both sides  

1.6 - 0.2 = x                        

1.4 = x

Circle A

B

Subtract 2x from both sides.

3x - 2x = 1.4

Circle B

C

Remove the brackets.

4x + 6 = 2x - 6           Add 6 to both sides

4x + 12 = 2x               Subtract 4x from both sides.

12 = -2x                      Divide by - 2

12/-2 = x

x = - 6                         Don't circle C

D

I'm going to be very scant in my solution of this. You can fill in the steps.

3x = 4.2

x = 4.2/3

x = 1.4

Circle D

5 0
3 years ago
Read 2 more answers
Answer the question math
Lerok [7]

Answer:

7y-10

Step-by-step explanation:

9y-\frac{1}{2}\left(4y+20\right)

To simplify this expression, first use the distributive property to distribute \frac{1}{2}.

9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)

Simplify.

9y+-2y+-10

Combine like terms, 9y and -2y.

7y-10

The simplification of 9y-\frac{1}{2}(4y+20) is 7y-10.

I hope this helps ^^

Good luck

7 0
3 years ago
This box is 3/4 inch long, 1/2 inch wide, and 3/4 inch deep. What is the volume of the box? i​
satela [25.4K]

Answer:

8/4 or just 2

Step-by-step explanation:

3/4 + 1/2 + 3/4 = 4/8

but 4/8 simplified get you 2

3 0
3 years ago
Read 2 more answers
Factor k^2 +3x-10 .....
Svetach [21]

Answer:

I think you mean: x^2 + 3x - 10, then

x^2 + 3x - 10

= x^2 + 5x - 2x - 10

=x(x + 5)  - 2(x + 5)

=(x - 2)(x + 5)

Hope this helps!

:)

4 0
3 years ago
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