Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the top floor of the concert hall. Tickets for balcony seats are $83 each. Tickets for seating on the floor are 60% of the price of the balcony tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560. a 83b+138.33f>560 b 83b+49.8f>560 c 83b+49.8f\le560 d 83b+138.33f\le560

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Given that:

Cost of balcony seat = $83

Cost of seating on floor = 60% of balcony seat = 0.6 * $83 = $49.8

Number of tickets for floor seat = f

Number of tickets for balcony seat = b

Total amount to spend should not exceed $560;

[(Cost of balcony ticket * number of balcony tickets) + ( cost of floor tickets * number of floor tickets)] ≤ 560

83b + 49.8f ≤ 560

The closest from the options given is :

83b + 49.8 < 560


Related Questions

write 56.78 correct to one significant number

Answers

Answer:

60

Step-by-step explanation:

There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer

Answers

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

Brainliest 5 stars Thanks! (running out of time and points sorry)

Answers

The answer is c f(-8)=0

What is the image point of (3, -3) after a translation left 3 units and up 4 units?.

Answers

Answer:

(0, 1)

Step-by-step explanation:

(x, y)

Left and Right movement deals with the x value

Up and Down movement deals with the y value

3 units left = -3

4 units up = +4

(x - 3, y + 4)

(3 - 3, -3 + 4)

(0, 1)

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex].

Determination of the coordinates of resulting point after translation

Geometrically speaking, a translation is determined by following formula:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

[tex]V(x,y)[/tex] - Original point[tex]T(x,y)[/tex] - Translation vector[tex]V'(x,y)[/tex] - Resulting point

If we know that [tex]V(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-3, 4)[/tex], then the coordinates of the resulting point are, respectively:

[tex]V'(x,y) = (3, -3) + (-3, 4)[/tex]

[tex]V'(x,y) = (0, 1)[/tex]

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex]. [tex]\blacksquare[/tex]

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What is the value of c?

Answers

The answer is 71 degrees, considering that one is a right angle we know that it is 90 degrees and because all of the angles of a triangle added up is 180 we can do 180 - (90 + 42) = 48, 48 is a, then we know that angle B is on a supplementary angle with a so it would be 90 - a = b, plug it in it would be 90 - 48 = 42 then we would do the same thing to find angle c, 180 - (42 + 67) which equals 71

HELP ASP!!❤️
WILL GIVE BRAINLIEST!...

Find the slope of the line. Enter your answer in simplest form.

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-6, 5)

Point (3, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7-5}{3-(-6)}[/tex]Simplify:                        [tex]m=\frac{-7-5}{3+6}[/tex]Subtract/Add:               [tex]m=\frac{-12}{9}[/tex]Simplify:                        [tex]m=\frac{-4}{3}[/tex]

Answer:

the slope is -4/3

Step-by-step explanation:

m=y2-y1/x2-x1

-7-5=(-12)

3-(-6)=9

-12/9

-12/3=(-4)

9/3=3

-4/3

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PLEASE HELP LIKE RN, thank you so much

Answers

Answer:

Facts.

Step-by-step explanation:

I need help on the word problem with

Answers

hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj

Answer: x>11

Step-by-step explanation:

(-4, 12) and (-7, -3)

(Write an equation of the line in point slope form that passes through the giving points)

Answers

Answer:

5

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-3-12}{-7-(-4)}[/tex] = [tex]\frac{-15}{-3}[/tex] = 5

What is this expression in simplified form? √32 x √24
A. 16√3
B. 64√12
C. √768
D. 32√3

Answers

Answer:

16 sqrt(3) x -> A. 16√3

Step-by-step explanation:

Simplify the following:

sqrt(32) sqrt(24) x

Hint: | Simplify radicals.

sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):

2^2 sqrt(2) sqrt(24) x

Hint: | Evaluate 2^2.

2^2 = 4:

4 sqrt(2) sqrt(24) x

Hint: | Simplify radicals.

sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):

4 sqrt(2)×2 sqrt(2) sqrt(3) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).

sqrt(2) sqrt(3) = sqrt(2×3):

4 sqrt(2)×2 sqrt(2×3) x

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4 sqrt(2)×2 sqrt(6) x

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8 sqrt(2) sqrt(6) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).

sqrt(2) sqrt(6) = sqrt(2×6):

8 sqrt(2×6) x

Hint: | Multiply 2 and 6 together.

2×6 = 12:

8 sqrt(12) x

Hint: | Simplify radicals.

sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):

8×2 sqrt(3) x

Hint: | Multiply 8 and 2 together.

8×2 = 16:

Answer: 16 sqrt(3) x

Answer:

16√3

Step-by-step explanation:

I got it on test

which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)

Answers

Answer:A

Step-by-step explanation:

Edge 2020

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

What is trigonometric expression?

Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.

It is one of the identities of trigonometry

sinAcosB - cosAsinB = sin(A - B)

Given expression

[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]

It is in form of sinAcosB - cosAsinB = sin(A - B)

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]

⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]

Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].

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write the coordinates obtained after the given translation​

Answers

Answer:You would just have to add 4 to all of the x values and add 5 to all the y values

Step-by-step explanation:

J : (3,2)
K : (5,2)
L : (4,5)

The chart shows the distances, in miles, between some towns and cities.
Toby lives in Wrexham and works in Oswestry.
Wrexham
18
Ruthin
a) Use the chart to find the road distance
between Wrexham and Oswestry.
15
21
12
Corwen
15
33
23
Oswestry
Sarah lives in Ruthin and works in Oswestry for
5 days a week. Each day she travels to and
from work using the route shown on the map.
MOLD
ROTHEN
WRESTHAM
b) How many miles, in total, does she travel to
and from work each week? 231 miles
CORNEN
OSWESTRY
Choose CI​

Answers

Answer:

part a)15

part b)330

Step-by-step explanation:

(a) The road distance between Wrexham and Oswestry is 15 miles.

(b) The number of miles Sarah travels to and from work each week is 330 miles.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Given a chart of the road distances between various towns and cities.

(a) From the chart,

Distance the corresponds to Wrexham and Oswestry = 15 miles

Road distance between Wrexham and Oswestry is 15 miles.

(b) Distance between Ruthin and Oswestry = 33 miles

Total distance travelled to and from work in a day = 33 × 2 = 66 miles

She works 5 days a week.

Total distance travelled for 5 days = 66 × 5 = 330 miles

Hence the number of miles travelled by Sarah in a week is 330 miles.

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The chart is given below.

What is an equation of the line that passes through the points (7, 6) and (-2, -3)?

Answers

Answer:

y=1x-1

Step-by-step explanation:

m=y2-y1/x2-x1

-3-6=(-9)

-2-7=(-9)

-9/-9=1

6=1*7+b

1*7=7

7-7=0

6-7=-1

b=-1

y=1x-1

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At the Roseville Middle School Spring Festival, Ellen is running the egg-dying station. She
needs 5 tablespoons of vinegar for every 2 color tablets she uses. Ellen plans to use 16 color
tablets.
How many tablespoons of vinegar will Ellen need?
HELP THIS IS AN EMERGENCY

Answers

Answer:

40 tablespoons of vinegar

Step-by-step explanation:

the ratio is 2-5 so if you have 16-x you divide 16 by 2 and multiply with your quotient to the 5, which would be

2-5

16-x

16-5^8

16-40

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

5 tablespoons = 2 color tablets.

40 tablespoons = 16 color tablets

The number of tablespoons of vinegar required is 40.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

She needs 5 tablespoons of vinegar for every 2 color tablets she uses.

This means,

5 tablespoons = 2 color tablets.

Multiply 8 on both sides.

8 x 5 tablespoons = 8 x 2 color tablets.

40 tablespoons = 16 color tablets

Thus,

The number of tablespoons of vinegar required is 40.

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-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal

Answers

Answer:

-2

Step-by-step explanation:

7.83 x 10-11
Write in standard from

Answers

Answer:

0.0000000000783

Step-by-step explanation:

Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.

T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?


A:47


B:275


C:550


D:281

Answers

Answer: 275

Step-by-step explanation:

17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.
a Find f(x) + g(x)
b. Find f(x) – g(x)

Answers

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

f(x)+g(x)= (2x^2+5x+6)+(3x^2+4x-10)= 5x^2 + 9x -4.
f(x)-g(x)= (2x^2+5x-6)-(3x^2+4x-10)= 2x^2+5x-6 (-3x^2 - 4x +10)= -x^2 +x+4

The number of miles a car can drive varies directly with the number of gallons of gas in
the car. If the car can go 81 miles on 3 gallons of gas, how many gallons does the car
need to go 378 miles?

Answers

Answer:

14 gallons

Step-by-step explanation:

Answer:

14 gallons

Step-by-step explanation:

PLEASE HELP ME ASAP RIGHT ANSWERS ONLY

You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week

Answers

ANSWER $319.68
Add all of your hours up and then multiply them by $11.52

PLEASE WILL GIVE BRAINLIEST!!

Answers

Step-by-step explanation:

Hey there!

Here;

A triangle is given with different measurements.

To find: value of p.

5 p = 2p+21° + 45° {The external angle is equal to the sum of opposite adjacent interior angles}

or, 5p - 2p = 21°+45°

3p = 66°

p = 66°/3

Therefore, the value of "p" is 22°.

Hope it helps....

solve the equation
-4(x - 26) = -200

Answers

Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

3x - 7 = 29
What is x

Answers

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3x - 7 = 29

Step 2: Solve for x

Add 7 on both sides:                    3x = 36Divide 3 on both sides:                x = 12

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    3(12) - 7 = 29Multiply:                        36 - 7 = 29Subtract:                       29 = 29

Here we see that 29 does indeed equal 29.

∴ x = 12 is a solution of the equation.

-6t-7=17 what does t equal

Answers

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

What is the value of p? Please provide an explanation, thanks!

Answers

Answer:

p = 2?

Step-by-step explanation:

6 - 4 = 2

4 + _ = 6 (2)

2 + 2 = 4

Answer:

Step-by-step explanation:

6p - 4 + 4p + 6 + p + 2 = 180

11p + 4 = 180

11p = 176

p = 16

Please help me out!!!!!

Answers

im a little rusty on this but i believe it is y =-(x+3)-5

Determine the values of X

Answers

66+52+x=180
118+x=180
x=180-118
x=62


Hope this helps :)

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?

____ m

Answers

Answer:

the circumference of her wheel is 1.81 m

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

Diameter is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel


[tex]4x + 5y = 19 \\ x + 5y = 13[/tex]
I need some help putting it in ordered pair​

Answers

Subtract 5y from both sides of the equation
X=13-5y
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