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?

Answers

Answer 1

Answer: They sold 173 adult tickets and 43 student tickets.

Step-by-step explanation:

Equations:

10.25x + 8y = 2117.25x + y = 216X = adult tickets.Y = student tickets.

Solving:

10.25x + 8(216 - x) = 2117.25 (y = 216 - x, substitute in for y)10.25x + 1728 - 8x = 2117.25 (distribute)2.25x = 389.25 (combine like terms)x = 173173 + y = 216 (solve for y)y = 43


Related Questions

Find the value of X
ASAP

Answers

X= 103
180 - 65 = 115
X + 12 = 115
X = 115 - 12 = 103

PLEASE HELP ME FAST I NEED HELP PLEASE

Answers

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$

A rectangular garden has a walkway around it. The area of the garden is 6(4.5x +3.5). The combined area of the garden and the walkway is 6.5(6x + 6). Find the area of the walkway around the garden as the sum of two terms. The area of the walkway around the garden is (Simplify your answer. Use integers or decimals for any numbers in the expression.)​

Answers

Answer:

13x+23.5

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

An architect's compensation package includes the total cost of a $250-per-month health insurance plan, the total cost of a $35-per-month life insurance plan, and a salary of $55,000 per year. what is the yearly value of the compensation package

Answers

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:

A family wants to rent a car to go on vacation. Company A charges ​$60.50 and 12 cents per mile. Company B charges ​$45.40 and 10 cents per mile. How much more does charge for x miles than ​Company B?

Answers

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 :)

28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15

Answers

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

I will give Brainiest to whoever answers correctly !!!

Answers

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.

Each day, Ms. Barr brews fresh tea at her restaurant. She brews 4 lb of tea per day Monday through Saturday. On Sunday, she brews 6.2 lb of tea. How much tea does she brew each week?

A whole is divided into 7 parts. Part 1 reads S and is labeled 6.2 pounds. Part 2 reads M and is labeled 4 pounds. Parts 3 through 7 are labeled T u, W, T h, F, S a, respectively. The rectangle is labeled 1 week.
hurry please i'll mark brainlist Which statements are true? Check all that apply.

She brews 4 lb of tea 6 days a week.
This is a comparison problem.
The first step is to 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.”

Answers

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:

if x+y = 1, and x^2 + y^2 = -1, what is x^7 + y^13?
1) 0
2) 1
3) -2
4) 2
5) -1

Answers

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(± /3)

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

Then

x ⁷ + y ¹³ = exp(± 7/3) + exp(± 26/3)

… = exp(± /3) + exp(± 2/3)

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.

Find the missing term.
(Blank) + 7 - 3i) + (5 + 91) + 131 = 10 - 5i.

Options:
-2 - 24i
2 - 12i
-12-24
-2 + 141

Answers

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

Graph the system of equation:
Y=-5/3x+3
Y=1/3x-3

Answers

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

Step-by-step explanation:

(21.) A writer earns $3400 a month. Last month she spent $204 on food.
What percent of her income was spent on food?

Answers

6 percent was spent

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%

Question 2 of 10
What is the center of the circle shown below?
A. 7.8
В. ЈК
C. K
D. J

Answers

A is the crorect answer

Answer:

its 100% JK

Step-by-step explanation:

Last​ year, a​ college's tuition was ​$. 42,000This​ year, the tuition increased by​ 4%. Find this​ year's tuition by using a percent greater than 100.

Answers

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

Make A the subject of the formula
R=square root of a/3

Answers

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

Between which two numbers on the number line is B?
A between 2 and 3
between 3 and 4
С.
between 4 and 5
D. O between 5 and 6

Answers

Answer:

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

What is 3x-6+7y-4y plsssssssssss helpppppppp meeere

Answers

Answer:

Assuming you combingin like terms

3x-6+3y

Please help, I need this quick.

Answers

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

B&c


Good luck on your test

Solve the inequality.
8 + 12x < -16

Answers

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.

Kamani can run 1 lap in 6 minutes. How many laps can she run in 18 minutes? If she runs 7 laps every day, how many minutes does she run everyday?

Answers

3 laps in 18 minutes & 42 minutes a day

what is the equation of the line passing through the point (2,-1) with a slope of -3

Answers

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.

Rewrite the following without an exponent. 6^-2
Please answer ASAP!

Answers

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]

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function below, where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars.
m(x) = 20x - 5x^3/4 + 0.01x^2
The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell x(p) = 320 - 7.7p planes.
(a) Find the cost, demand (or price), and revenue functions.
C(x) =
p(x) =
R(x) =
(b) Find the production level that maximizes profit.
Planes =
(c) Find the associated selling price of the aircraft that maximizes profit.
= $_______ million
(d) Find the maximum profit.
= $ _______ million

Answers

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]

Use the table to write a proportion.

Please help. Ty!

Answers

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]

I need the answers to this

Answers

Answer:

i can't not understand sorry

Fourteen out of the twenty people in your class have black hair.

Answers

Not all blondes or brown hair

Help me with this please worth 40 points!!!

Answers

The answer is B) 6.6

Help please. How to calculate it? That is the answer of last one ?

Answers

Answer:

60

Step-by-step explanation:

Shoes= 10

Human= 5

Cone= 4

10+5= 15 x 4= 60

{[(9 + 5) ÷ 7] - 2} x [4 x (25 – 20)]

Answers

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

How many pounds are in 24 ounces?

A. 1/2

B. 1

C. 1 1 /2

D. 2​

Answers

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 :)

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