Seats at a local entertainment venue sell for $5 each in the lower level and $4 each in the upper level. If all the seats

are sold, the total revenue is $2,674. At a recent event, only 7 of the lower level seats and 9 of the upper level

seats were sold, for a total of 262 seats. Let x represent the total number of lower level seats, and let y represent the

total number of upper level seats.

Which equation represents the total revenue

5x + 4y = 2674

Which equation represents the total numb er of tickets sold?

1/7x + 4/7y = 262

How many seats does each section have?

Answer:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

The exponential function can be written with the general equation:

[tex]f(x)=A\cdot r^x[/tex]

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = 4[/tex]

This gives the correct value of f(0)=4.

Substituting in the fourth function:

[tex]\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = \frac{1}{2}[/tex]

This choice is wrong

Correct choice:

[tex]\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}[/tex]

Answer: The length of the room on blueprint = 10 feet.

Step-by-step explanation:

Given: On blueprint,

[tex]\dfrac14[/tex] inch = 2 feet

i.e. 1 actual feet = [tex]2\times\dfrac 14 =\dfrac12\text{ inch}[/tex]

If the actual length of 20 feet, the length of a room on blueprint = [tex]20\times\dfrac12\text{ feet}[/tex]

= 10 feet.

Hence, the length of the room on blueprint = 10 feet.

Answer:

square root 29

Step-by-step explanation:

use the distance formula sqrt(x2-x1)^2+(y2-y1)^2  

sqrt(-1-4)^2+(3-5)^2= sqrt 29.

Answer:

$4,711.31

Step-by-step explanation:

Calculation for Jennifer's monthly gross pay

First step is to calculate The total tax percentage deductions

Using this formula

Total tax percentage deductions =State tax + City tax + Social security + Medicare

Let plug in the formula

Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%

Total tax percentage deductions = 13.65%

Now let calculate the monthly gross pay

Monthly gross pay= ($3,981.22 +87)/(1-13.65%)

Monthly gross pay= ($3,981.22 +87)/0.8635

Monthly gross pay=$4,068.22/0.8635

Monthly gross pay= $4,711.31

Answer:

b or d

Step-by-step explanation:

Answer:

1 》let equal side be X and other side y

now, length of y= 2x sin teta/2

=12.3×sin42/2

=12.3 × sin21

=4.407

Answer:

34-16=18

so x = 18

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x

Answer:

no solutions. a number cannot equal itself -9

Answer:

$2.5389

Step-by-step explanation:

Given data

Cost of lunch = $2.34

Tax= 8.5%

Let us compute the cost of the tax

=8.5/100*2.34

=0.085*2.34

= $0.1989

Hence the total is = 0.1989+2.34

=$2.5389

Answer:

It will take Michelle 80 minutes.

They're 35.20 kilometers away from their starting point.

Step-by-step explanation:

We have to find how many minutes it would take Michelle to catch up to Juanita.

We know that Michelle's movement is represented as: d = 0.44t

Juanita's movement is represented as: d = 0.3t + 11.2

To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.

Solve:

0.44t = 0.3t + 11.2

Subtract 0.3t from both sides.

0.14t = 11.2

Divide both sides by 0.14

t = 11.2/0.14

t = 80

This means that it would take 80 minutes for Michelle to catch up.

To find how far they are, multiply 0.44 by 80.

0.44 · 80 = 35.20

This means that they're 35.20 kilometers away from their starting point.

Answer:

10x - 12y - 4

Step-by-step explanation:

2 x 5x = 10x

2 x 6y = 12y

put it all back together again

Answer:

x= 0.4+12y/10

Step-by-step explanation:

10x - 12y = 4

10x = 4 + 12y

x= 0.4+12y/10

Answer:

1/2

Step-by-step explanation:

3/6 = 1/2

Answer:

1/6

Step-by-step explanation:

in case of one fair die, each face has the same probability, thus, P of each number is equally 1/6

Answer:

[tex] \frac{a}{7} + \frac{a}{3} = 10 \\ \frac{(3a + 7a)}{21} = 10 \\ \frac{10a}{21} = 10 \\ a = \frac{(10 \times 21)}{10} \\ \boxed{a = 21}[/tex]

Answer:

supplementary angles

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

I would do C because 2/3 is close to a whole so then you would get -3 and 1/4  is close to 0 so just keep 18 the same which would be -18 so -18 divided by -3 would be correct

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

please mark me brainliest!!

Answer:

The answer is A

Step-by-step explanation:

Denominator *100* is higher

Answer:

6.67625

Step-by-step explanation:

402-93-41=267/6.67625

Answer:

Your answer would be D. 100 kg

Step-by-step explanation:

I took the test and got it correct

Hope this helps

Good luck!

The required zero that has not significant is 100, 10.0, and 1.30.

Given that,
To determine the number that has zeros that are not significant.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,

Zeros between non-zero numbers are significant.
So it contains 2.05,

Zeros to the left of the first non-zero digit are not significant.
It contains 100, 10.0. and 1.30

Thus, the required zero that has not significant is 100, 10.0 and 1.30

Learn more about the number system here:

https://brainly.com/question/22046046

#SPJ2

Answer:

18 feet

Step-by-step explanation:

Answer:

Vertical, Horizontal, and Diagonal

Step-by-step explanation:

5 lines of Symmetry.  

It has four lines of symmetry and four sides. A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.

Answer:

QR = 19.4

Step-by-step explanation:

Use Pythagoras because p = 90°

Qr is hypotenuse

; (15.5)² + (11.7)²

= 377.14

√377.14

= 19.42009

= 19.42

= 19.4

hope it helps ☺️

Answer:

The interior angles would be 5940. The exterior angles would add to 360

Step-by-step explanation:

Answer:

1.75

Step-by-step explanation:

1.75 :) you can check your answer by multiplying by 3!

Brainliest would be appreciated

Answer:

120 is too steep, so it is either 150 or 160.  According to an online protractor, it appears to be 150 degrees.

Step-by-step explanation:

Answer:

(-31/13, -22/13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -6x - 16

-2x + 4y = -2

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer: 12x + 10y

Step-by-step explanation:

Answer:

cool?

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

you add 12 for each letter you go up