Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. Lawn tickets cost $30 each and seat tickets cost $50 each. The organizers want to make at least $14,000 from ticket sales.

Write a system of inequalities to represent the situation. Be sure to define your variables.

Answers

Answer 1

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

Answer 2

Answer:

X+=4

Step-by-step explanation:

I did it


Related Questions

Find the slope of a line that passes
through the following ordered pairs.
Reduce to lowest terms.
(-8, 6) (-9,-5)

Answers

Answer: m =11

Step-by-step explanation:Use the slope formula to find the slope  

m

.

ILL GIVE YOU BRAINLEST PLEASE THIS IS THE ONLY QUESTION I HAVENT ANSWER!

Answers

A and B

Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.

It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?

Answers

Answer:

$51

Step-by-step explanation:

Answer: $51

Step-by-step explanation: you have to divide $68 by 16 to see how much it cost per square feet. Then you get 4.25 so you multiple that by 12

Write in point slope form the equation of a line that has the slope of -4 and the passes
through the point (2,2)

Answers

Answer:

point slope form is below. since you have the slope already, all you have to do is plug in the point for x1 and y1 and then the slope for m

y - y1 = m(x -x1)

y - 2 = -4 (x - 2) (this is the equation)

Step-by-step explanation:

How can you tell, without multiplying, if the product of three or more integers will be positive or negative?

Answers

Answer:

divide, or write and equation and solve it

Step-by-step explanation:

Select the correct answer.
Which function is represented by the graph?

Answers

Answer: B

Step-by-step explanation:

ITS D

Step-by-step explanation:

Rawr ... someone help me :) please it’s math and the last word says Box btw !

Answers

Answer:

4/7

Step-by-step explanation:

Have a nice day

Answer:

4/7

Step-by-step explanation:

I said so hun

plz, answer the question in the photo.

Answers

Answer:

2 1/4

Step-by-step explanation:

hope this helps

if henry has 8 apples , and josh ate 5 . how many apples does henry have?

Answers

Answer:

Henry has 3 apples

Step-by-step explanation:

ANSWER THIS PLSSSS ASAPPPPP

Answers

Answer:

3rd choice (1, -6)

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

Pythagorean Theorem:

25^2=24^2+x

625=576+x^2

49=x^2

x=sqrt49

x=7

Hope this helps!

Merry Christmas!

Answer:

By using the Pythagorean theorem we can solve this

The Pythagorean theorem states that [tex]c^2=a^2+b^2[/tex] where c is the hypotenuse (longest side of the right triangle) and a and b are the other 2 sides. LEts use x to represent the missing side

Therefore,

[tex]25^2=24^2+x^2[/tex]

[tex]625=576+x^2[/tex]

[tex]625-576=576-576+x^2[/tex]

[tex]49=x^2[/tex]

[tex]x=7[/tex]

Step-by-step explanation:

-9(5-2)-111÷3 show all work ​

Answers

Answer:

-74

Step-by-step explanation:

First: 5-2=3

-9*3=-27

111÷3=37

Then do -27-37=-74

Answer:

-9·3-111 ÷3

-27-111 ÷3

-27-37= -64

the answer is -64

A company rents out 15 food booths at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.

Answers

Complete question :

A company rents out 15 food booths and 20 game booth at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.

Answer:

4300 + 260d

Step-by-step explanation:

Given that :

Earning from Food booth cost :

Number of booth * cost

15(200 + 8d)

3000 + 120d

Earning from Game booth :

Number of booths * cost

20(65 + 7d)

1300 + 140d

Total sum :

Total earning from game booth and food booth

3000 + 120d + 1300 + 140d

3000 + 1300 + 120d + 140d

4300 + 260d

The graph of 2x-3y=6 is shown on the grid. Which ordered pair is in the solution set of 2x-3y≤6?

Answers

Answer:

there

Step-by-step explanation:

x

=

3

2

y

+

3

0.25(x + 4) – 3 = 28

Answers

Answer:

x = 120

Step-by-step explanation:

Given

0.25(x + 4) - 3 = 28 ( add 3 to both sides )

0.25(x + 4) = 31 ( divide both sides by 0.25 )

x + 4 = 124 ( subtract 4 from both sides )

x = 120

The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

Here, we have,

To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:

Let's go through each step in detail:

Step 1: Distribute the 0.25 to the terms inside the parentheses.

0.25(x + 4) - 3 = 28

Distribute 0.25 to (x + 4):

0.25x + 0.25 * 4 - 3 = 28

Step 2: Simplify the equation by combining like terms.

0.25x + 1 - 3 = 28

Simplify 0.25 * 4:

0.25x + 1 - 3 = 28

0.25x - 2 = 28

Step 3: Isolate the variable x on one side of the equation.

To isolate the variable x, we want to get rid of the constant term -2 on the left side.

We can do this by adding 2 to both sides:

0.25x - 2 + 2 = 28 + 2

Simplifying:

0.25x = 30

Step 4: Solve for x.

To find the value of x, divide both sides by 0.25:

0.25x / 0.25 = 30 / 0.25

Simplifying:

x = 120

So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ6

Which of the following is not an ordered pair from the function f(x) = -3x + 4?
A. (2,-2)
B. (5, -11)
C. (-3, 13)
D. (-6, 21)

Answers

Answer: D


Explanation: For this problem you can substitute f(x) and x for 21 and -6 respectively.

Thus, we have 21=-3(-6)+4

The correct answer is D. (-6, 21), as it is not an ordered pair from the function f(x) = -3x + 4.

To determine which of the ordered pairs is not from the function f(x) = -3x + 4, we need to substitute the x-value of each ordered pair into the function and check if it matches the corresponding y-value.

A. (2, -2)

Substituting x = 2 into the function: f(2) = -3(2) + 4 = -6 + 4 = -2

The y-value (-2) matches the given ordered pair. This is a valid solution.

B. (5, -11)

Substituting x = 5 into the function: f(5) = -3(5) + 4 = -15 + 4 = -11

The y-value (-11) matches the given ordered pair. This is a valid solution.

C. (-3, 13)

Substituting x = -3 into the function: f(-3) = -3(-3) + 4 = 9 + 4 = 13

The y-value (13) matches the given ordered pair. This is a valid solution.

D. (-6, 21)

Substituting x = -6 into the function: f(-6) = -3(-6) + 4 = 18 + 4 = 22

The y-value (21) does not match the given ordered pair (-6, 21). This is not a valid solution.

Therefore, the correct answer is D. (-6, 21), as it is not an ordered pair from the function f(x) = -3x + 4.

Learn more about the set of ordered pairs here:

https://brainly.com/question/10197233

#SPJ4


Please I need someone to answer this !

Answers

Answer:

Step-by-step explanation:

Put 1/5 x 3 and that is the answer

Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A'?

Answers

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer

Answers

Answer:

9.6

Step-by-step explanation:

First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.

How much would a 15% tip be on a bill that cost $85?

Answers

Answer:

12.75

Step-by-step explanation:

about 12.75$

Happy Holidays

jaun is saving money to buy a leather basketball cost 40.00.He already has $12 and will save 3.50 per week until he has enough money to buy the baseketball

Answers

Answer; it will take him 8 weeks to get 40$ and buy his basket ball
Explanation;
40 = 12 + (3.5)x
28 = (3.5)x
x = 8 weeks

Describe the pattern in the following sequence and list the next three terms:
4,8, 16, 32, ...

Answers

Answer:

the number on the left is half of the amount of the number next to it on the right, so the next three terms are 64, 128, 256

Step-by-step explanation:

ex 4x2=8 8x2=16 16x2=32

Solve for w. 57 =4w + 13 Simplify your answer as much as possible.​

Answers

Step-by-step explanation:

57=4w+13

57-13=4w

44=4w

w=11

please help me with the question

Answers

Answer:

D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500

Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19​

Answers

1) (2,-1)
2) (-2,-1)
3)(.156,-2.22)

Find the simple interest on a $3,219.00 principal, deposited for six years at a rate of 1.51%.

Answers

Answer:

s.i = P. T. R /100

= 3219 . 6 . 1.51 /100

= 29,164.14 / 100

= 291.6414

WILL GIVE BRAINLIEST


Quadrilaterals PQRS and TUVW are similar

What is the value of b in yards?

O 0.5 yd
0 3.2 yd
O 12.5 yd
0 28.8 yd

Answers

Answer:

3.2

Step-by-step explanation:

depending on what W-T looks like it seems the best answer

♡ The Question ♡      

Quadrilaterals PQRS and TUVW are similar.  

What is the value of b in yards?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

3.2 yd!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

help
ques starts frm a rectangular garden​

Answers

Answer:

this is the full solution of your question

In a board game, the player who makes the last move receives an 11-point bonus for ending the game. Let s represent the score before the endgame bonus and f represent the final score. Find the valué of f when s = 1

Answers

Answer:

12

Step-by-step explanation:

Given that :

Player who makes last move receives 11 - point bonus

Let s = score before end game bonus ; f = final score ;

Final score (f) when s = 1

Final score =) score before end game bonus) + 11 point bonus

Final score = 1 + 11 = 12

How much are these coins worth?

Answers

Answer:

$1.97

Step-by-step explanation:

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