Math Word Problem Please Help
A community drama centre sells tickets to a play, they sell 216 tickets. Adult tickets cost $10.25 and student tickets cost $8.00. The total ticket sales came to $2117.25. How many student tickets were sold? How many adult tickets were sold?

Answer:

She brew 4 lb of tea 6 days a week.

The first step is multiply 4 lb by the number of days that 4 lb are brewed.

The second step is to add 6.2 lb to the amount brewed the rest of the week.

The answer to the question will be: "She brews ______ lb each week."

Step-by-step explanation:

Answer:

[tex](a)[/tex] [tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]

    [tex]p(x)=320-7.7p[/tex]

    [tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]

[tex](b)[/tex] [tex]x=82 \text{planes}[/tex]

[tex](c)[/tex] [tex]p=\$30.91 M\;\; \text{per plane}[/tex]

[tex](d)[/tex] maximum profit [tex]=\$ 15.90M[/tex]

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

[tex]m(x)=20x-5x^{\frac{3}{4}}+0.01x^2[/tex]

[tex](a)[/tex]  Find the cost, demand (or price), and revenue functions.

   [tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]

   [tex]p(x)=320-7.7p[/tex]

   [tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]

[tex](b)[/tex]  Find the production level that maximizes profit.

    [tex]f=R(x)-C(x)[/tex]

 [tex]\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)[/tex]

[tex]\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx[/tex]

     [tex]x=320-7.7p[/tex]

     [tex]p=\frac{320-x}{7.7}[/tex]

    [tex]\frac{dp}{dx} = \frac{-1}{7.7}[/tex]

[tex]\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0[/tex]

    [tex]\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0[/tex]

   [tex]\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0[/tex]

   [tex]\Rightarrow x=82 \text{planes}[/tex]

[tex](c)[/tex]  Find the associated selling price of the aircraft that maximizes profit.

  [tex]p=\frac{320-82}{7.7}[/tex]

[tex]\Rightarrow p=\$30.91 M\;\; \text{per plane}[/tex]

[tex](d)[/tex]  Find the maximum profit.

Manufacturing cost of one plane is:

[tex]m(1)=20-5+0.01[/tex]

         [tex]=\$15.01 M[/tex]

maximum profit [tex]=\$(30.91-15.01)M[/tex]

                           [tex]=\$15.90M[/tex]

Answer:

Assuming you combingin like terms

3x-6+3y

Answer:

13x+23.5

Step-by-step explanation: I dont know how to explain

Answer:

C is the answer

Step-by-step explanation:

Answer:

1.5 pounds so option c

Step-by-step explanation:

I hope this helps with your problem :)

Answer:

C. Between 4 and 5.......

Answer:

[tex]21.\bar{3}[/tex]

Step-by-step explanation:

Assuming a constant ratio, we can set up the following proportion:

[tex]\frac{6}{8}=\frac{16}{m}[/tex].

Cross-multiply to solve:

[tex]6m=8\cdot 16,\\m=\fbox{$21.\bar{3}$}[/tex]

Answer:

$15.02

Step-by-step explanation:

Let's write out some equations.

Company A:

60.50+0.12x=A

Company b:

45.50+0.10x=B

Now let's compare. If x=1, Company A charges

60.50+0.12=60.62=A

On the other hand, Company B charges

45.50+0.10=45.60=B

A-B=60.62-45.60=15.02

Since these are linear we can safely assume that this is constant :)

Answer:

p=5x+3y

solve for x, number of cupcakes. isolate x

5x=p-3y

divide by 5

x=(p-3y)/5

Step-by-step explanation:

D. x<15

Answer:

The answer is 0.

Step-by-step explanation:

solve 9+5=14

14/7=2

2-2=0

solve the pther side

25-20=5

4*5=20

0*20=0

Answer:

i can't not understand sorry

Answer:

its 100% JK

Step-by-step explanation:

Answer: first picture is for y=-5/3x + 3

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Shoes= 10

Human= 5

Cone= 4

10+5= 15 x 4= 60

Answer:

Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]

Step-by-step explanation:

We need to rewrite the following without an exponent. [tex]6^{-2}[/tex]

We need to solve the exponent to find the result.

We know the exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]

Now using this rule to solve the equation:

[tex]6^{-2}\\=\frac{1}{6^2}\\We \:know \:that\:6^2 = 6\times 6=36\\=\frac{1}{36}[/tex]

So, Rewriting [tex]6^{-2}[/tex] without an exponent we get [tex]\mathbf{\frac{1}{36}}[/tex]

Answer:

Answer:

The answer is A $ 58,420

Explanation:

If we multiply the monthly benefits of health and life insurance combined we will get the annual value of them.

$35 + $250 = $285

$285*12 = $3420

We already know the annual salary package which is $55000, by adding annual salary to the above calculated annual benefits you will get the total annual value of total compensation.

$55000+$3420 = $58,420

Step-by-step explanation:

Have a good day;-)

Answer:

58,420

Step-by-step explanation:

Answer: 6%

Step-by-step explanation:

3400's x%=204

(3400)x/100=204

34x=204

34x/34=204/34

I used my calculator to divide

x=6

So  6%

Answer:

B and C

Step-by-step explanation:

I don't know how to explain this, but it is pretty self explanatory. It is Options B and C so you are correct

Solve for x and y :

x + y = 1   →   y = 1 - x

x ² + y ² = -1

x ² + (1 - x)² = -1

x ² + (1 - 2x + x ²) = -1

2x ² - 2x + 1 = -1

2x ² - 2x + 2 = 0

x ² - x + 1 = 0

x ² - x + 1/4 = -3/4

(x - 1/2)² = -3/4

x - 1/2 = ±√(-3/4)

x - 1/2 = ±√3/2 i

x = 1/2 ± √3/2 i   →   x = exp(± iπ/3)

y = 1 - (1/2 ± √3/2 i )   →   y = -1/2 ± √3/2 i   →   y = exp(± 2iπ/3)

Then

x ⁷ + y ¹³ = exp(± 7iπ/3) + exp(± 26iπ/3)

… = exp(± iπ/3) + exp(± 2iπ/3)

since 7π/3 is equivalent to π/3, and 26π/3 is equivalent to 2π/3 (both modulo 2π).

In either case, we get

x ⁷ + y ¹³ = x + y = 1

so the answer is (2) 1.

Answer:

-2 - 24i

Step-by-step explanation:

a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

a + bi + 7 + 5  - 3i + 9i + 13i = 10 - 5i

                a + bi  + 12  + 19i = 10 - 5i

                         a + bi          = 10 - 5i - 12 - 9i

                                 a + bi = 10 - 12 - 5i - 9i

                                 a + bi = -2 - 24i

Note: this answer assumes that the equation of the line must be in slope-intercept form.

Answer:

[tex]y= -3x + 5[/tex]

Explanation:

When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.

The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

[tex]y-(-1) = -3(x-(2))[/tex]

[tex]y+1 = -3(x-2)[/tex]

Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:

[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]

Therefore, [tex]y= -3x + 5[/tex] is the answer.

Answer:

R=√a/3

now put square on both side to remove square root

(√A/3)²=R²

A/3=R²

so we get

A=3(R²)

plz mark me brainest

Answer:

The first one

Step-by-step explanation:

You You need to make it 5 lb of crawfish so 6$ for 4 pounds is 12$

1 pound is 3$

4 pounds + 1 pound is 15$

Shop a and b is 15$

Answer:

x < - 2

Step-by-step explanation:

I hope this helps.

Answer:

x < -2

Step-by-step explanation:

1) 12x+8< -16 Rearrange the expression

2) 12x < -16+8 Separate the constants and variables

3) 12x< -24 Add the the number

4) 12x/12 < -24/12 Divide both sides by 12

5) x< -2 Answer

Hope that helps.

Hey there!

I believe the answer to your question is 47.21 ml of oxygen are in the 55 ml sample of sea water.

To get this, you can do 0.8584 x 55 = 47.212, because you want to find 85.84% of 55, to know how much oxygen is in the sample. Then, you round it to the nearest hundreth.

Hope it helps! Have a great day! Do tell me if I'm mistaken.

Answer:

$43680

Step-by-step explanation:

Given data

Tuition was ​$. 42,000 last year

The tuition increased by​ 4%

Hence the current year tuition is given as

Current tuition= 42,000 + 4/100*42,000

Current tuition= 42,000 + 0.04*42,000

Current tuition= 42,000 +1680

Current tuition= $43680

Hence the current tuition is $43680