A producer has fixed expenses of $980 to put on a 3-day production of a play. Each ticket to the play will be sold for $5.00. The line shows the net profit or loss of the producer based on selling x tickets. What is the minimum number of tickets the producer must sell over the 3-day period in order to earn a profit?

Answers

Answer 1

Answer:

196 tickets

Step-by-step explanation:

The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:

5x ≥ 980

Dividing through by 5:

x ≥ 980

x ≥ 980/5

x ≥ 196

Therefore the producer must sell at least 196 tickets so as to make a profit


Related Questions

Can somebody please help me!!

Answers

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Help is appreciated. Easy I just am always confused

Answers

Answer:

BA=BC

Step-by-step explanation:

Which ordered pair is a solution if the equation? 2x + 3y = 10

Answers

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

Subtract: 2 square root -8 -3 square root -18

Answers

Answer:

[tex] - 5 \sqrt{ - 2} [/tex]

Step-by-step explanation:

We can write sq root (- 18) as = sq root [3 x 3 x (-2)]

Similarly sq root ( - 8) = sq root [2 x 2 x (-2)]

2 sq root [2 x 2 x (-2)] - 3 sq root [3 x 3 x(-2)]

We simply,

2 x2 sq root (-2) - 3 x 3 sq root (-3)

4 sq root (-2) - 9 sq root (-2)

Bcoz sq root (-2) is common in bot term so

So

Sq root (-2) (4-9)

-5 sq root (-2) answer

Raymond works for an architecture firm. His company has a contract to design a building on a rectangular plot of land that has an area of 421,808 square meters. The plot of land is 328 meters wide. What is the length of the plot?

Answers

Answer:

1286 meters long

Step-by-step explanation:

421,808 divided by the width of the plot gives you 1,286 meters for the width.

Identify the equation which has no solution. 3x - 21 = 3(x + 7) 3x - 21 = 3(x - 7) 3x - 21 = x - 7 All of the choices

Answers

Answer:

3x - 21 = 3(x + 7).

Step-by-step explanation:

3x - 21 = 3(x + 7)

3x - 21 = 3x + 21

3x - 3x = 21 + 21

0 = 42

Since the two are not equal, this equation has no solution.

3x - 21 = 3(x - 7)

3x - 21 = 3x - 21

3x - 3x = -21 + 21

0 = 0

Since the two are equal, this equation has infinitely many solutions.

3x - 21 = x - 7

2x = 14

x = 7

This equation has one solution.

Since there is only one choice that makes sense, the answer won't be all of the choices.

The answer is A. 3x - 21 = 3(x + 7).

Hope this helps!

-7(2k-3)=-35 fill in the empty spaces __ k +21=-35 __ k=__ k=__ ANSWERS -14 1 -56 21 7 -7 6 -14 4 24 -1

Answers

Answer:

k = 4

Step-by-step explanation:

Step 1: Distribute

-14k + 21 = -35

Step 2: Subtract 21 on both sides

-14k = -56

Step 3: Divide both sides by -14

k = 4

Answer:

-14, -14, -56, 4.

Step-by-step explanation:

-7(2k-3)=-35

-14k + 21 = -35

-14k = -56

k = 4

So, your answers should be -14, -14, -56, 4.

Hope this helps!

Which equation represents a circle with a center at (2,-3) and a radius of 11

Answers

Answer:

x^2-4x+y^2+6y-108=0

Step-by-step explanation:

[tex]The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0[/tex]

A soda factory has a special manufacturing line to fill large bottles with 2 liters of their beverage. Every process is computerized. However, it doesn't always fill exactly 2 liters. It follows a normal distribution, with a mean of 1.98 liters and a variance of 0.0064 liters. If the amount of soda in a bottle is more than 1.5 standard deviations away from the mean, then it will be rejected.
Find the probability that a randomly selected bottle is rejected.
a. 0
b. 0.07
c. 0.04
d. 0.13
e. 0.19

Answers

0.13 is the answer im not for sure tho

Select the correct answer. Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.

Answers

Answer:

B

Step-by-step explanation:

On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.

On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.



Simplify [Q - R] + [S - T].

10m - 7n - 14
10m + 5n - 24
10m - 5n + 24
10m + 7n - 14

Answers

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

Remove the brackets

That's

9m + 3n - 11 + m + 4n - 3

Group like terms

9m + m + 3n + 4n - 11 - 3

The final answer is

10m + 7n - 14

Hope this helps you

– StartFraction 5 Over 3 EndFraction v plus 4 equals 8 minus StartFraction 1 Over 3 EndFraction v.(6x – 3) = –

Answers

Answer:

v=11/5 or v=2.2

Step-by-step explanation:

The wording of this question is a little confusing but if it says what I think it does (5/3v+4=8-1/3) then this is the answer.

What are the solutions to the system of equations graphed below?

Answers

Answer:

B) (2,0) and (0,-4)

Step-by-step explanation:

The answer to the system of equations is where the two intersect on the graph, in this case on the points (2,0) and (0,-4)

Justin earned scores of 85, 92, and 95 on his science tests. What does he need
to earn on his next science test to have an average (arithmetic mean) of 93%?

Answers

Answer:

Justine needs to score a 100 to have an average of 93%.

Step-by-step explanation:

Given:

Justin scores 85, 92 and 95 on his science tests.

To find:

The score that he needs to earn to have an average of 93%?

Solution:

Let the score in next science test = [tex]x[/tex]

Formula for Average/Arithmetic Mean is given as:

[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

Here we have 4 number of total observations and average is 93%.

Now, put all the values here:

[tex]93 = \dfrac{85 +92+ 95+x}{4}\\\Rightarrow 93\times 4=85 +92+ 95+x\\\Rightarrow 372=272+x\\\Rightarrow x = 372-272\\\Rightarrow x = 100[/tex]

So, Justin needs to score 100 to have an average of 93%.

What is the slope of the line given by the equation y=-3X?
A. 1/3
B. -1/3
C. -3
D. 3

Answers

Answer:

[tex]\boxed{-3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation is determined by the constant equation [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept of the line.

Therefore, we can use the equation given and implement it to find your slope.

[tex]y=-3x[/tex]

Our equation does not have a y-intercept, [tex]b[/tex]. Therefore, it can just be inferred as [tex]+0[/tex].

Because we do have a [tex]m[/tex], we can then find out what our slope is: [tex]\boxed{-3}[/tex].

brainliest plus 20 points!

If events A and B are non-overlapping events, how do you find the probability that one or the other occurs?

Answers

The probability of two non-overlapping events A or B happening is:

p(A or B) = p(A) + p(B)

if you add an image of the question you are trying to answer, I can explain it better.

Answer:

If events A and B are non-overlapping events.

P(A or B) = P(A) + P(B)

To find the probability that one or the other occurs, you add the probability of both events occurring together.

Find the equation of the line passing through the point (–1, –2) and perpendicular to the line y = –1∕2x + 5. Choices are in the attachment...

Answers

Answer: D). Y = 2x
Explanation:

Hope this help

Irum is sitting on the beach, watching the tide go in and out. Irum's distance from the shoreline (in meters) as a function of time (in hours) is graphed. What is the approximate average rate at which Irum's distance from the shoreline increases, between the 9th and the 13th hour marks?

Answers

Answer:

Hi, the Answer is 0.75.

Step-by-step explanation:

it is 0.75 because if you look on the graph, and you calculate the 3/4 slope between the two, 3/4= 0.75

Answer:

A) 0.75 meters per hour

Step-by-step explanation:

What else would need to be congruent to show that ABC was DEF by ASA

Answers

Answer:

ABC≅DEF ASA POSTULATE

There must be two angles and one side of ABC congruent to DEF

Step-by-step explanation:

Answer:

BC=EF

Step-by-step explanation:

Process of elimination and I just took the test so trust me.

Please help. I need the answers to these. I don't get Trigonometry at all.

Answers

Answer:

below

Step-by-step explanation:

sin 24° =0.4 cos 45° =[tex]\frac{\sqrt{2} }{2}[/tex] tan 88° = 28.63

Answer:

1) -.91

2) .53

3) .04

Step-by-step explanation:

[tex]sin(24)[/tex] = -.905578362

-.91 rounded to the nearest hundredth

[tex]cos(45)[/tex] = .5253219888

.53 rounded to the nearest hundredth

[tex]tan(88)[/tex]= .0354205013

.04 rounded to the nearest hundredth

The area of the triangle ABD is 56cm2. Work out the length of CD

Answers

Answer:

8.2

Step-by-step explanation:

Area of triangle is calculated by multiplying height to the base and that divided by two

20 × h ÷ 2 = 56^2

h = 5.6

The square length of CD is equal to sum of square length of height and base

6^2 + 5.6^2 = CD^2

CD = 8.2

Complete the equation: x2 + 10x + ___ = 2

Answers

20,0000000000000000000000 I can’t help with this I dropped out of school

look at the image and answer it

Answers

Answer:

The circumference of circle is 14π cm.

Step-by-step explanation:

Given that the formula of circumference is C = 2×π×r where r represents radius of circle. In this case, diameter of circle is 14cm so the radius will be 7cm. Then, you have to substitute the value into the formula :

[tex]c = 2 \times \pi \times r[/tex]

[tex]let \: r = 7[/tex]

[tex]c = 2 \times \pi \times 7[/tex]

[tex]c = 14\pi \: \: cm[/tex]

Answer:

14[tex]\pi[/tex]

units = cm

Step-by-step explanation:

circumference = 2 x [tex]\pi[/tex] x r

c = 2 x [tex]\pi[/tex] x 7   - it's 7 because the diameter is 14 and radius is half the diameter

c = 14 x [tex]\pi[/tex]

c = 43.98229715

in terms of pi c = 14 [tex]\pi[/tex]

units = cm

Can someone help me with this question please.

Answers

Answer:

98

Step-by-step explanation:

3 bed house= 33 rooms

4 bed house 40 rooms

4 bed house 25 rooms

each house is worth 2 houses. so u double everything

hope I got it right

Help!!!!! please!!!!!

Answers

Answer:

192.154 ft²

Step-by-step explanation:

Area of a Hexagon Formula: A = 3√3/2(x)²

x is the side of the hexagon. We simply plug in 8.6 in for x:

A = 3√3/2(8.6)²

A = 3√3/2(73.96)

A = 221.88√3/2

A = 110.94√3

A = 192.154

Answer:

~192.2

Step-by-step explanation:

The area of a regular hexagon is calculated by:

A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2

Graph the first six terms of a sequence where a1 = 3 and d = −10.

Answers

Answer:

Step-by-step explanation:

nth term = (n-1)th term + common difference

d = -10

a₁ = 3

a₂ = a₁ + d = 3 + (-10) = -7

a₃ = a₂ + d = -7 + (-10) = -17

a₄ = a₃ + d = -17 + (-10) = -27

a₅ =a₄ + d = -27 + (-10) = -37

a₆ = a₅ + d = -37 + (-10) = -47

First six terms: 3 , -7 , -17, -27, -37 , -47

Find the coefficient of fourth term of (-x -3)^5

Answers

Answer:

-270

Step-by-step explanation:

Here, we want to know the coefficient of the fourth term.

The coefficients according to pascal triangle for the expansion is 1 5 10 10 5 1

So the expansion looks as follows;

1[(-x)^5(-3)^0] + 5[(-x)^4(-3)^1)] + 10[(-x)^3(-3)^2) + 10[(-x)^2(-3)^3] + ...........

So the fourth term we are dealing with is

10[(-x)^2(-3)^3)]

So the value here is

10 * x^2 * -27

= -270 x^2

So the coefficient is -270

How many 9-digit palindromes are there with all the digits being even and each digit appearing no more than twice?

Answers

Answer: 96

Step-by-step explanation:

A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121

Then, we have 9 digits, and all the digits need to be even.

the options are: 0, 2, 4, 6, 8.

Now, we can tink a 9 digit number as 9 empty slots, and in each slot, we can put a number.

But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.

So we can tink it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.

For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9 digit number).

for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)

for the third digit, we have 3 options

for the fourth digit, we have 2 options

for the fifth digit, we have only one option.

The total number of combinations is equal to the product of the number of options for each selection:

C = 4*4*3*2*1 = 96

Answer:

96

Step-by-step explanation:

help me asap please i dont understand​

Answers

Answer:

We have 2 rational solutions

0 irrational solutions

0 complex solutions

Step-by-step explanation:

a^2 + 8a + 12 = 0

Using the discriminant

b^2 -4ac where ax^2 + bx+ c

so a =1  b = 8 and c = 12

8^2 -4(1)*12

64 - 48

16

Since the discriminant is greater than 0, we have 2 real solutions

since we can take the square root of 16, we have rational solutions

We have 2 rational solutions

Since this is a quadratic equations, there are only 2 solutions so there are

0 irrational solutions

0 complex solutions

Answer:

2 Rational Solutions

0 Irrational Solutions

0 Complex Solutions

Step-by-step explanation:

The discriminant of the quadratic formula is the name given to the portion underneath the radical (or the square root)"

[tex]x = \frac{1}{2} (-b\frac{ + }{ - } \sqrt{ {b}^{2} - 4ac })[/tex]

Discriminant = D = b²-4ac

If D is less than 0 you have two complex solutions.

If D is equal to 0 you'll have one real solution.

If D is bigger than 0 you'll get two real solutions.

So here we have:

a=1

b=8

c=12

Which means D=64-4(1)(12)=64-48=16>0

D is bigger than 0, so you'll have two real solutions. And since 16 is a perfect square, they'll both be rational numbers.

Find the center and radius of the circle x2 + y2 –6y – 16 = 0

Answers

Answer:

centre=(0,3) radius =5

Step-by-step explanation:

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