adult tickets at a football game cost $6 and student tickets cost $2. A total of $1776 was collected on 372 tickets. How many adult tickets were sold?

Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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Answer:

  12 gallons

Step-by-step explanation:

The amount of juice in the mix is the sum of the amounts of juice contributed by each of the constituents of the mix. Those amounts will be the product of the quantity of constituent and the fraction that is juice.

__

Let x represent the amount of 80% juice drink that must be added to the mix. The total amount of orange juice in the mix is ...

  20% × 12 gallons + 80% × x gallons = 50% × (12 +x) gallons

__

Dividing by gallons, eliminating parentheses, and using decimals for percentages, we have ...

  2.4 +0.80x = 6.0 +0.50x

  0.30x = 3.6 . . . . . . . . subtract 0.50x+2.4

  x = 12 . . . . . . . . . . . divide by 0.30

12 gallons of 80% juice drink must be added to obtain the desired mix.

_____

Additional comment

We notice that 50% is the average of 20% and 80%, so each must be half of the mix. If there are 12 gallons of 20%, then there must be 12 gallons of 80%.

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Answer:

\(y=2x+3\)

Step-by-step explanation:

1. Approach

Slope intercept form is a way of expressing an equation of a line using the slope of a line, and its y-intercept. The general format for the equation of a line in slope-intercept form is the following,

\(y=mx+b\)

Find each of the missing pieces of information and substitute it into the equation to find the equation of the line.

2. Find the slope

The slope of a line is the change in the line is can be found using the following formula,

\(\frac{y_2-y_2}{x_2-x_1}\)

As one can see on the given graph, two points on the line are the following,

\((-2, -1), (-1, 1)\)

Substitute the points into the formula and solve for the slope,

\(\frac{(1)-(-1)}{(-1)-(-2)}\)

\(=\frac{2}{1}\\\\=2\)

3. Find the y-intercept

The y-intercept of a line is where the line intersects the y-axis. As one can see this point is the following,

\((0,3)\)

Thus the y-intercept is (3).

4. Put the information together

Putting all of this information together, substitute the found information into the general equation for slope-intercept form. One can see that the equation of a line is the following,

\(y=2x+3\)

Answer:

\(x=\frac{z-y}{2y}\)

Step-by-step explanation:

Answer:

$440

Step-by-step explanation:

12% /100 =0.12

0.12×2000=240

240+200= 440

$440

Answer:

3,075

Step-by-step explanation:

The solution of the given system of equations is (-1, -2).

We are aware that a linear system of equations can be solved using a substitution method.

The intersection of the two lines represents the system's solution.

The given equations are-

y = 3x+1 ...eq 1

y = -2x-4  ...eq 2

Put the value of eq 1 in eq2 .

3x+1  = -2x-4

3x + 2x = -4 - 1

5x = -5

x = -5/5

x = -1

Put the x in eq 1.

y = 3(-1)+1

y = -2

Thus, the solution of the given system of equations is (-1, -2).

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The complete question is-

What is the solution to the system of equations-

y=3x+1 ;

y=-2x-4

6 yards of metal is needed for the project.

The theory used in this question is multiplication. Multiplying the amount of metal in each piece by 3 provided the total amount of metal needed for the project.

Step 1: Determine the amount of metal in each piece.

Each piece has 1 yard of metal.

Step 2: Multiply the amount of metal in each piece by 3.

1 yard x 3 = 3 yards

Step 3: Add the two pieces of metal together.

1 yard + 1 yard = 2 yards

Step 4: Add the multiplied amount of metal to the total.

2 yards + 3 yards = 6 yards

Therefore, 6 yards of metal is needed for the project.

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The inequality that represents p, the number of people the theater can seat is p ≤ 25

From the question, we have the following parameters that can be used in our computation:

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

Answer:

180 m²

Step-by-step explanation:

The tennis court has a length of 25 meters and a width of 10 meters. The faulty tennis ball machines are placed at both ends of the court length.

The green ball machine has a range of 5 meters to 20 meters from the green machine's side while the yellow ball machine has a range of  2 meters to 16 meters from the yellow machine's.

Therefore the area of the tennis court with balls on it, has a range of 2 meters from the yellow machine and 5 meters from the green ball machine. Hence:

length of court with balls = 25 m - (5 m + 2 m) = 25 m - 7 m = 18 m

width of court = 10 m

Therefore,  the area of the tennis court that has balls of either color on it = length of court with balls * width of court with balls = 18 m * 10 m = 180 m²

Point K and F

Looking at the data, you can see that most of the data points form close to a line- if you were to draw a line of best fit through the data, you would see that it would be quite close to most points on the graph. This is the trend of the graph, it is linear.

However, you can see thaf K and F do not come close to this trend at all and are therefore outliers since they do not fall close to the line.

The values of the quantities Q1, Q2, Q3,... and Qₙ are

25, 25+25(0.07), 25+25(0.07)+25(0.07)² and Qₙ = 25(1-(0.07)ⁿ/(1-0.07)

Given:

Suppose the drug atenolol is taken in 25 mg doses once a day to lower blood pressure.

At the end of a 24 hour period, approximately 7 % of the atenolol is still present.

we are asked to find the expressions for the quantities Q1, Q2, Q3, . . ., and Qn, representing the amounts of atenolol in the body right after taking the 1st, 2nd, 3rd doses respectively.

hence:

Q1 = 25

Q2 = 25+25(0.07)

Q3 = 25+25(0.07)+25(0.07)²

Qₙ = 25(1-(0.07)ⁿ)/(1-0.07)

(b) we are asked to find expressions for the quantities P2, P3, P4, . . ., and Pn representing the amount of atenolol in the body right before taking the 2nd, 3rd, 4th doses respectively.

P2 = 25(0.07)

P3 = 25(0.07)+25(0.07)²

P4 = 25(0.07) + 25(0.07)² + 25(0.07)³

Pₙ = 25(0.07) × [1-(0.07)ⁿ]/[1-0.07]

Hence we get the required expressions.

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Answer:

11,356 ml.....................

Answer:

X=-1

Y=1

Step-by-step explanation:

6x-12y

-18

) 6x + 4y

-

-2

Subtract the two equations

6x - 12y - (6x + 4y) = -18 - (-2)

Determine the sign

6x- 12y - 6x- 4y

=-18 + 2

Simplify

-12y

- Ay

=-18 + 2

Solve the equation

Substitute

6×+4

-2

Solve the equation

X=

The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:

1.) 12 yards (the one you selected is correct)

2.) 1.1 with the bar over the decimal (the one you selected is correct)

Step-by-step explanation:

1.) It looks like Aaron dropped back 5 yards from the line of scrimmage and threw to the 7 yard line for a total of 12 yards.

2.) If you enter 10 divided by 9 into your calculator you will get back 1.11111111111111 that keeps repeating for how ever many digits your calculator can show.  We write this as 1.1 with the bar over the decimal.

To evaluate -4.6+7+22+(-7.75) simplifying each term, -4.6+7 = 2.4, 2.4+22 = 24.4, 24.4+(-7.75) = 16.65 so the simplified expression is 16.65 which is a decimal.

A fraction is a mathematical expression that represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number) separated by a horizontal line.

Fractions can be simplified to their lowest form by dividing both numerator and denominator by their greatest common factor.

To evaluate the expression, we need to simplify each term and then add them together. The steps are as follows:

-4.6 + 7 = 2.4 (subtracting 4.6 from 7)

2.4 + 22 = 24.4 (adding 2.4 and 22)

24.4 + (-7.75) = 16.65 (adding 24.4 and -7.75)

So the simplified expression is 16.65.

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The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

about 440,000

Step-by-step explanation:

Here 438,105 you can round of the 38,000as 40,000 so will get 440,000.

At the district competition for 5th grade jump-roper of the year, the mean number of jumps, rounded to the nearest hundredth is 242.83 and the median number of jumps is 265

The mean can be calculated as follows:

Observations (the number of jumps each student without pausing was counted); There were 24 observations

Mean is calculated by adding all of the observations together.

Mean = (203 + 245 + 237 + 233 + 90 + 100 + 100 + 277 + 265 + 264 + 265 + 285 + 288 + 291 + 291 + 290 + 300 + 224 + 200 + 257 + 290 + 279 + 266 + 288)/24

Mean = 5828/24

Mean = 242.83

to figure out the median;

The observations must first be put into either ascending or descending order.

Ordered in descending order

90, 100, 100, 200, 203, 224, 233, 237, 245, 257, 265, 265, 265, 266, 277, 279, 285, 288, 288, 290, 290, 291, 291, 300

Given that there have been 24 observations (an even number).

The middle number, 265 and 265 at the midway of items 12 and 13, is used to calculate the median.

The average of these figures is then determined.

Median = 1/2 (265 + 265)

Median = 265

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The solution to the homogenous equation is M = c₁e⁻(ⁿ² + √[n(n+1)n] + c₂e⁻(ⁿ²-√[n(n+1)n

To solve the second order differential equation:

d²M/dn² + 2n (dM/dn) = n

We can use the method of undetermined coefficients. First, we assume a particular solution of the form M = An + B, where A and B are constants to be determined. We then find the first and second derivatives of M:

dM/dn = A

d²M/dn² = 0

Substituting these into the differential equation, we get:

0 + 2n(A) = n

Solving for A, we find:

A = 1/2

So the particular solution is:

M = (1/2)n + B

To find B, we can substitute the particular solution into the original differential equation:

d²M/dn² + 2n (dM/dn) = n

0 + 2n(1/2) = n

So the homogeneous solution is:

Mh = C1n + C2

where C1 and C2 are constants to be determined. The general solution is the sum of the homogeneous and particular solutions:

The solution to the homogenous equation is;

M = c₁e⁻(ⁿ² + √[n(n+1)n] + c₂e⁻(ⁿ²-√[n(n+1)n

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5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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