A particular movie theater charges $7.00 per adult and $2.50 per child. If 600 people attended a movie and the total revenue from ticket sales was, which of the following models the given information if x represents the number of adults and y represents the number of children?

Answer:

2.75

Step-by-step explanation:

To find the mean absolute deviation for a set of data, we first need to find the mean (average) of the data set. Then, for each data point, we find the absolute value of the difference between the data point and the mean. Finally, we take the mean of those absolute differences.

Step 1: Find the mean

Mean = (6+7+10+12+13+4+8+12)/8 = 72/8 = 9

Step 2: Find the absolute differences

|6-9| = 3

|7-9| = 2

|10-9| = 1

|12-9| = 3

|13-9| = 4

|4-9| = 5

|8-9| = 1

|12-9| = 3

Step 3: Find the mean of the absolute differences

Mean absolute deviation = (3+2+1+3+4+5+1+3)/8

Mean absolute deviation = 22/8

Mean absolute deviation = 2.75

Therefore, the mean absolute deviation for the given data set is 2.75.

The factor form of the given expression is [tex]x^2 - 14 - 4x = (x - 4)(x - 14).[/tex]

To factor the expression x^2 - 14 - 4x, we can use the technique of grouping.

First, we can rearrange the terms as:

x^2 - 4x - 14

Next, we can factor out a common factor of x from the first two terms:

x(x - 4) - 14

Then, we can factor out a negative 1 from the last two terms:

x(x - 4) - 1(14)

Finally, we can write the expression as the product of two binomials:

(x - 4)(x - 14)

Therefore, the factored form of x^2 - 14 - 4x is (x - 4)(x - 14).

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Answer: The density of the billiard ball is 6.67 g/cm^3.

Step-by-step explanation:

More scores were in the interval 75-79 than any other interval

a. Class Interval Frequency

70-74    8

75-79    16

80-84    12

85-89     4

b. The % more than 84 = 4/40 x 100

=10%/

c. The % less than 75 = 8/40 x 100

= 20%

d. More scores were in the interval 75-79 than any other interval

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The radius of the circle is 36 centimetres.

The circumference of the circle is  75.36 centimetres.

Let's find the radius of the circle with 20 degrees arc and length of 4π centimetres.

Length of an arc = ∅ / 360 × 2πr

where

Therefore,

Length of an arc  = 20 / 360 × 2 × π × r

4π = 40πr / 360

4π = 1 / 9 πr

cross multiply

πr = 36π

divide both sides by π

r = 36 centimetres

radius = 36 centimetres

b.

The equilateral triangle is inscribed in the circle. Therefore, the circumference of the circle can be found as follows:

The radius of the circle can be found using trigonometric ratios as follows:

The radius is an angle bisector. Hence,

sin 30 = opposite / hypotenuse

0.5 = 6 / r

cross multiply

r = 6 / 0.5

r = 12 centimetres

Lets' find the circumference,

circumference of the circle = 2πr

circumference of the circle = 2 × π × 12

circumference of the circle = 24 × 3.14

circumference of the circle = 75.36 cm

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Answer: okay ill help

Step-by-step explanation:

The cost price of the article, which is sold for Rs. 150 at a gain but if sold for Rs. 135 would have resulted in a loss equal to 50% of the original gain, is Rs. 127.50.

The cost price is the difference between the selling price and the profit or gain.

The difference is determined by subtraction.

Selling price of the article = Rs. 150

Loss if sold at Rs. 135 = 50% of the original gain

Original gain = Rs. 15 (Rs. 150 - Rs. 135)

50% of the original gain = Rs. 7.50 (Rs. 15 x 50%)

Cost price of the article = Rs. 127.50 (Rs. 135 - Rs. 7.50)

Thus, the cost price is Rs. 127.50.

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In the given system of linear equations we get,

3x - y = 4, 6x - 2y = 8 has no solution.

y = -4x - 5, y = -4x + 1 has infinitely many solutions.

- 3x + y = 7, 2x - 4y = -8 has exactly one solution.

System of linear equations can have one solution or infinitely many solution or no solution based on their form.

If two lines are parallel to each other (that is, both linear equations have same slope) then the system of linear equations has no solutions.

A system of linear equation with infinitely many solutions has both the sides of equations equal.

When a system of linear equation has exactly one value of the variables which makes the equations satisfy is said to have one solution.

Here the system of linear equations are as,

3x - y = 4

6x - 2y = 8

The two equations of the system of linear equations are parallel to each other and hence has no solution.

y = -4x - 5

y = -4x + 1

The two equations of the system of linear equations has both the sides equal to each other and hence has infinitely many solutions.

- 3x + y = 7

2x - 4y = -8

The two equations of the system of linear equations has exactly one value of x and y which satisfies the conditions and hence has one solution.

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The virus will thus increase from 160 to 600 in around 10 days.

A virus is a submicroscopic infectious agent that only reproduces inside of an organism's live cells.

We can resolve this issue using a proportion. Let x be the period of time needed for the virus to multiply from 160 to 600. Then: (240 - 160) / 18 = (600 - 160) / x

This equation may be written as

80/18 = 440/x.

Cross-multiplying:

80x = 18 * 440

80 divided by both sides yields x = 9.9

We obtain x = 10 by rounding to the next full value.

Therefore, The virus will thus increase from 160 to 600 in around 10 days.

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The measure of the angles are;

<KL = 23 degrees

m<LON is 23 degrees

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 157 degrees

To determine the measures of the arc, we need to note the following;

From the information shown in the diagram, we have;

<KL +<KM = 90 degrees

Now, substitute the values

<KL + 67 = 90

collect like terms

<KL = 23 degrees

m<LON and <KL are corresponding angles

Then, m<LON is 23 degrees

m<OM = m<LON + 90 degrees

Substitute the values

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 90 + <LM

Substitute the values

m<NL = 157 degrees

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Answer:

3.2mm

Step-by-step explanation:

Answer:

3.2mm

Step-by-step explanation:

Answer:

the answer for part A is. 5

the absolute deviation is. 1

Step-by-step explanation:

to find the answer for part A add all numbers and divide it by 8

For part B

4-5= |-1|= 1

3-5= |-2|= 2

4-5= |-1| =1

5-5= |0| =0

6-5= |1 | =1

6-5= |1 | =1

8-5= |3| =3

5-5= |0| =0

Then add all the number and divided them by 8

MAY I GET BRAINLIEST

The jet can fly a distance of 192,000 miles in a day, assuming it can maintain a speed of 8 x 10³ miles per hour for 24 hours.

There are 24 hours in a day, so the distance the jet can fly in a day is:

Distance = Speed x Time

where Time is the duration of the flight.

If we assume that the jet can fly continuously for 24 hours without refueling or stopping, then the time of the flight is 24 hours.

Therefore, we have:

Distance = Speed x Time

=8 x 10³ miles/hour x (24 hours)

= 192,000 miles

Therefore, the jet can fly a distance of 192,000 miles in a day, assuming it can maintain a speed of 8 x 10³ miles per hour for 24 hours.

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Answer:

cm^3 can be used to represent volume.

The explicit rule for the sequence -4/3, 1, -4/5, -2/3, -4/7 is -4(2 + n)

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

-4/3, 1, -4/5, -2/3, -4/7

In the above sequence, we can see that 1 is added to the denomiator of the previous term to get the new term

Take for instance

2nd = -4/(3 + 1) = -1

3rd = -4/(3 + 2) = -4/5

4th = -4/(3 + 3) = -4/6 = -2/3

4th = -4/(3 + 7) = -4/7

Hence, the explicit rule is -4(2 + n)

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Answer:

b

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

210+50 is the total number of miles that can be driven. This adds up to 260. 260 divided by 20 is miles per gallon, which equals 13.

There is only one way for the doctor to visit all seven patients exactly once.

A combination is a way of selecting items from a larger set, where the order of the items is not important. In this problem, we need to select seven patients out of a larger set of seven patients, so we can use the formula for the number of combinations of n items taken r at a time:

C(n,r) = n! / (r!(n-r)!)

where n is the total number of items, r is the number of items to be selected, and the exclamation mark represents the factorial function.

In this case, we need to find the number of combinations of 7 patients taken 7 at a time, which can be written as:

C(7,7) = 7! / (7!(7-7)!) = 7! / (7!0!) = 1

The order in which she visits the patients does not matter since each patient is visited only once.

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As pumpkins cost $0.60 per pound Diego will pay $7.68 for his pumpkin.

To find out how much Diego will pay for his pumpkin, we need to multiply the weight of the pumpkin by the cost per pound:

Cost = weight × cost per pound

In this case, the weight is 12.8 pounds and the cost per pound is $0.60:

Cost = 12.8 pounds × $0.60/pound

Simplifying the expression, we get:

Cost = $7.68

Therefore, Diego will pay $7.68 for his pumpkin.

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Adolescents who loved jazz and were drawn to American, British culture in general, as well as conformity and discipline in the army, made up the swing youths in Nazi Germany.

Germany saw significant turmoil in politics in the late 1930s as a result of Hitler's ascension to power and the real-world consequences of his virulent anti-Semitism.

He described how in the Nazi era, there were groups of young people in Vienna who would get together in private, dancing to American bounce music, and express opposition to the brutal Nazi reality through their behavior and attire.

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The question is incomplete, Complete question probably will be:

What does the song Swing Heil reveal about the goals of the Nazi Party?

The correct statements about the capacity of swimming pool are (a) and (d)

The capacity of a swimming pool is given by C = l × w × (d₁ + d₂)/2

where l is the length,

w is the width,

d₁ is the depth of the shallow end,

and d₂ is the depth of the deep end of the pool.

If C = 9,216 ft, l = 48 ft, w = 24 ft, and d₂ = 12 ft, then d₁  would be,

9216 = 48 × 24 × (d₁ + 12)/2

d₁ + 12 = (9216 × 2) / (48 × 24)

d₁ + 12 = 16

d₁ = 4 ft

And formula for the depth of the shallow end would be,

d₁ = (2C/lw) - d₂

Therefore, the correct statements are (a) and (d)

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The complete question is:

The capacity of a swimming pool is given by C = l × w × (d1 + d2)/2, where l is the length, w is the width, d 1 is the depth of the shallow end, and d 2 is the depth of the deep end of the pool.

Select all the correct statements.

a) The depth of the shallow end is given by d1 = 2C/lw - d2.

b) If C = 9,216 ft, l = 48 ft, w = 24 ft, and d2 = 16 ft, then d1 = 4 ft.

c) The depth of the shallow end is given by 2C - d2/lw .

d) If C = 9,216 ft, l = 48 ft, w = 24 ft, and d2 = 12 ft, then d1 = 4 ft.

Answer:

Area of parallelogram:

8 × 5 = 40 square centimeters

Perimeter of parallelogram:

2(8 + 6) = 2 × 14 = 28 centimeters

The value of sin 75 without using a calculator is 1/4(√2 +√6)

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

sin(75)

This can be expanded as

sin(75) = sin(45 + 30)

Using the sine rule, we have

sin(75) = sin(45)sin(30) + cos(45)cos(30)

Evaluate the trigonometry ratios

So, we have

sin(75) = √2/2 * 1/2 + √2/2 * √3/2

So, we have

sin(75) = √2/4 + √6/4

Evaluate the sum

sin(75) = 1/4(√2 +√6)

Hence, the value is sin(75) = 1/4(√2 +√6)

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Answer:

Step-by-step explanation:

To determine the minimum area of the piece of fabric Jonna needs, we need to calculate the diameter of the circle after adding 2 inches to the radius.

The radius of the pillow is half its diameter, which is 15/2 = 7.5 inches.

When Jonna adds 2 inches to the radius, the new radius becomes 7.5 + 2 = 9.5 inches.

The diameter of the circle with the new radius is 2 x 9.5 = 19 inches.

Therefore, Jonna needs to cut a circular piece of fabric with a diameter of 19 inches.

To calculate the minimum area of the fabric, we need to use the formula for the area of a circle:

Area = π x (radius)^2

The radius is 9.5 inches, so:

Area = π x (9.5)^2

Area = π x 90.25

Area ≈ 283.77 square inches

Therefore, Jonna needs a piece of fabric with a minimum area of approximately 283.77 square inches.

The electricity cost for the Val's AC to run for a summer month of 30 days is $84.

Given that,

Val's whole-house central air conditioner uses 4,000 watts when running.

Val runs the AC 7 hours per summer day.

Electricity costs (10 cents)/(1 kilowatt-hour).

Total electricity used for the whole house = 4000 watts = 4 kilowatts

Number of hours that the AC runs = 7 hours

Cost of electricity = (10 cents)/(1 kilowatt-hour).

Cost of electricity for 4 kilowatts for 1 hour = 10 × 4 = 40 cents

Cost of electricity for 4 kilowatts for 7 hours = 40 × 7 = 280 cents

                                                                                       = $2.80

Cost of electricity for a summer month of 30 days = $2.80 × 30

                                                                                   = $84

Hence the total cost for the electricity is $84.

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Answer:

the expected point value is -1/5, so it is not advantageous to guess.

Step-by-step explanation:

1(1/5)+(-1/2)(4/5)

1/5-2/5

-1/5

The true statements are

To find the true statements about the graph that represents y = -2x(x - 11), we need to analyze the equation and its properties.

x-intercepts by setting y = 0 and solving for x:

form the equation we have y = -2x(x - 11)

0 = -2x(x - 11)

0 = x(x - 11)

x = 0

x = 11

The x-intercepts are at (0,0) and (11,0).

Now let's find the vertex of the parabola. The vertex is located at the x-coordinate x = -b / 2a,

y = -2x^2 + 22x

given that

a = -2,

b = 22

x coordinate of the vertex is found by

= -22 / (2 * -2)

= 22 / 4

= 5.5

so we can say that  the true statement is: The x-coordinate of its vertex is 5.5

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