The theater sells two types of tickets: adult tickets for $8 and child tickets for $4.
Last night, the theater sold a total of 291 tickets for a total of $1900. How many adult tickets did the theater sell last night?

Answer:

15,460

Step-by-step explanation:

38460-23000= 15460

Answer:

Whether lending or borrowing, sharing a car can have its risks. ... Whether it's a friend in a jam or a family member visiting from out of state, drivers ... Customs officers are often on the lookout for stolen cars, so you may want to provide the driver with a ... Our daughter is off at college and sometimes barrows a friends car.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

A function is when x does NOT repeat

Answer:

y = 5x + 2

Step-by-step explanation:

slope intercept form is y = mx+ b

the y- intercept is 0,2 so 2 is your b.

for m you do rise over run aka y/x. for every 5 rise up the x runs one so your slope(m) = 5

 so y=5x+2

The division is performed by dividing the dividend by the divisor. This helps to find the quotient and remainder.

Along with addition, subtraction, and multiplication, the fourth main operation in mathematics is division. There are five main division techniques used in arithmetic calculations: long division, short division, dividing fractions, dividing exponents, and dividing decimals.

For example, to divide 500 by 5 we use the following steps using short division. Here, the divisor is 5 and the dividend is 500.  Doing the division we get, the quotient is 100, and the remainder is 0. This is represented in the attached image. Here, the answer for the division of 500 by 5 is 100.

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Based on the calculations, the length of LM is equal to 1.10 units.

Given the following data:

Scale factor = 0.5.

Length of AB = 2.20 units.

In Mathematics, there are different types of transformation and these include the following:

Since polygon A'B'C'D'E' is dilated by using a scale factor of 0.5 about D', so as to form polygon LMNOP. Thus, the length of LM is given by:

LM = A'B' × scale factor

LM = 2.20 × 0.5

LM = 1.10 units.

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Answer:

Yes

Step-by-step explanation:

When you substitute

y: 11

x: -2

Substitute:

y=x+13

11=-2+13

11=11

This is always true.

the Θ-intercepts of the graph of f are π/2 and 3π/2. We know this because these are the values of Θ where f(Θ) = 0 and where the graph intersects the Θ-axis.

The Θ-intercepts of a graph of a function f are the values of Θ where the graph intersects the Θ-axis, i.e., where f(Θ) = 0.

In the case of f(Θ) = tan(Θ), we know that the function has vertical asymptotes at Θ = π/2, 3π/2, etc., where the function is undefined. Therefore, the graph of f will intersect the Θ-axis at these values of Θ, since the function is negative for Θ between π/2 and 3π/2 and positive for Θ outside of that interval.

Thus, the Θ-intercepts of the graph of f are π/2 and 3π/2. We know this because these are the values of Θ where f(Θ) = 0 and where the graph intersects the Θ-axis.

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Answer:

Step-by-step explanation:

3444

Answer:

b = \(\frac{a}{c}\)

Step-by-step explanation:

\(\frac{a}{b}\) = c ( multiply both sides by b )

a = bc ( isolate b by dividing both sides by c )

\(\frac{a}{c}\) = b

The measurement of CE is 18 units.

We are given that;

The circle with radius= 30

Now,

CD^2 + DA^2 = FA^2. Plugging in the given values, we get CD^2 + 18^2 = 18^2. Simplifying, we get CD = 0. This means that C and D are the same point on the circle.

Since C and D are the same point on the circle, CE and DE are both radii of the circle and have the same length of 18 units.

Therefore, by the given circle the answer will be 18 units.

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The angle at which the airplane is climbing is; 15.95°

Let θ be the angle at which the airplane is climbing.

We are told that it has reached an altitude of 4 km and that the plane has traveled a horizontal distance of 14 km. Thus, we can say that;

Δx = 14 Km

Δy = 4 Km

Now, according to trigonometric ratios, we know that;

tan θ = Δy/Δx

Thus;

tan θ = = 4/14

θ = tan⁻¹(0.2857)

θ = 15.95°

The angle at which the airplane is climbing is; 15.95°

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The height of the hot air ballon can be modeled with the linear equation:

y = 300 + 900*x

Remember that a linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Let's define the variables that we need to use for this problem:

y = height of the hot air balloon.

x = time in minutes.

We know that initially, the height of the balloon is at a height of 300 feet, and then it ascends at a constant rate of 900 feet per minute,

So after x minutes, the height will be modeled by the linear equation:

y = 300 + 900*x

Where the y-intercept is 300, the initial height, and the slope is 900, the rate of change.

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Answer:

64\ units^{3}

Step-by-step explanation:

we have

V=s^{3}

This is the formula to calculate the volume of a cube

where

s is the length side of the cube

In this problem we have

s=4\ units

substitute

V=4^{3}=64\ units^{3}

Refer to the diagram below. We need to find the areas of the green and blue regions, then subtract to get the area of the orange track only.

The larger green region is composed of a rectangle of dimensions 200 meters by 4+42+4 = 50 meters, along with two semicircles that combine to make a full circle. This circle has radius 25 meters.

The green rectangle has area 200*50 = 10000 square meters. The green semicircles combine to form an area of pi*r^2 = pi*25^2 = 625pi square meters. In total, the full green area is 10000+625pi square meters. I'm leaving things in terms of pi for now. The approximation will come later.

The blue area is the same story, but smaller dimensions. The blue rectangle has dimensions 200 meters by 42 meters, so its area is 200*42 = 8400 square meters. The blue semicircular pieces combine to a circle with area pi*r^2 = pi*21^2 = 441pi square meters. In total, the blue region has area 8400+441pi square meters.

After we figure out the green and blue areas, we subtract to get the orange region's area, which is the area of the track only.

orange area = (green) - (blue)

track area = (10000+625pi) - (8400+441pi)

track area = 10000+625pi - 8400-441pi

track area = (10000-8400) + (625pi - 441pi)

track area = 184pi + 1600 is the exact area in terms of pi

track area = 2178.05304826052 is the approximate area when you use the pi constant built into your calculator. If you use pi = 3.14 instead, then you'll get 2177.76 as the approximate answer. I think its better to use the more accurate version of pi. Of course, be sure to listen/follow your teachers instructions.

Answer:

cake 90

Step-by-step explanation:

8×5×2=90

length ×width ×height

Answer:

a) 2x + 1, 4x + 7

b) L = 19 cm, W = 7 cm, A = 133 cm^2

Step-by-step explanation:

8x^2 + 18x + 7

ax^2 + bx + c

ac = 8 * 7 = 56

56 = 4 * 14

8x^2 + 18x + 7 =

= 8x^2 + 14x + 4x + 7

= 2x(4x + 7) + 1(4x + 7)

= (2x + 1)(4x + 7)

a) 2x + 1, 4x + 7

b)

2(3) + 1 = 7

4(3) + 7 = 19

A = LW = 19(7) = 133

The amplitude of a sine or cosine function is the vertical stretch or compression factor of the function. In this case, the function f(x) = sin(x) has been stretched vertically by a factor of 3. Therefore, the amplitude of the function g(x) is A = 3.

The function g(x) = 3sin(12x) + (-5)

Annie loved the first novel she read by Danielle Steel. Ms. Steel has just published a new novel, and it got great reviews. Therefore, it is likely that Annie would like that novel too which means that the argument is inductive and it is a weak one.

This is a type of argument which is characterized by the arguer believing that the truth of the premises provides only good reasons to believe the conclusion is probably true.

In this scenario since Annie liked the author's previous books and the new one had great reviews then it is probably true that she would also like it and it is a weak one because assuming the premises are true,then it is probable for the conclusion to be false.

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Answer:

x = 3.2

Explanation:

when y = 1

1 = x²-2x-3

x²-2x-3-1 = 0

x²-2x-4 = 0

                                      \(x = \frac{ 2 \pm \sqrt{(-2)^2 - 4(1)(-4)}}{2*1}\)

                                               \(x = 1 + \sqrt{5}\)

                                                 x = 3.236

                                                 x = 3.24 in 2 decimal places

                                                 x = 3.2  in nearest tenth

Answer:  A x=11

Step-by-step explanation:

We are assuming the lines are parallel so the angles would be equal from transverse line rules.

7x + 13 = 90                    >Subtract 13 from both sides

7x = 77                            >divide both sides by 7

x = 11                              

The coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).Given that the glide reflection determined by the slide arrow OẢ, where O is the origin and A(0,2), and the line of reflection is the y-axis.

The maxima and minima of a function are its maximum and minimum points within or across a certain range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the greatest or least of anything (multi-extremum). Local maxima (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.

Now, we need to find the image of any point (x, y) under this glide reflection in terms of x and y.

a) Image of any point (x, y) under this glide reflection is given by,(x, y) → (x′, y′)= reflection(y-axis) [ translation(OA) (reflection(y-axis))]

Now, reflecting the point (x, y) on y-axis, we get(-x, y).

Now, translating the point (-x, y) by the distance vector OA, we get(x - 0, y - 2) = (x, y - 2)

Therefore, the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)

b) Given that (3, 5) is the image of a point P under the glide reflection. We need to find the coordinates of P.

Now, we know that the image of any point (x, y) under this glide reflection is (x, y) → (x, y - 2)So, (x, y - 2) → (3, 5)On comparing the x-coordinates, we getx = 3On comparing the y-coordinates, we gety - 2 = 5⟹ y = 7

Therefore, the coordinates of P are (x, y) = (3, 7).Hence, the required coordinates of the point P are (3, 7).

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Answer:

true

Step-by-step explanation:

Answer:

The answer is yes.

Step-by-step explanation:

This is dependent because whichever color marble she picks out, is dependent on how many marbles of that color are in the bag. For example, since their are 25 blue marbles, there is a higher probability that she will pick a blue marble that any of the other colors.

Given:

The equation of the parallel line is

\(y=-\dfrac{5}{2}x+7\)

The required line passes through the point (-4,1).

To find:

The equation of line in slope slope intercept form.

Solution:

The slope intercept form of a linear function is

\(y=mx+b\)

Where m is slope and b is y-intercept.

On comparing the equation \(y=-\dfrac{5}{2}x+7\) with slope intercept form, we get

\(m=-\dfrac{5}{2}\)

We know that the slopes of parallel lines are always same. So, the slope of the required line is \(m=-\dfrac{5}{2}\).

The line passes through the point (-4,1) with slope \(m=-\dfrac{5}{2}\). So, the equation of line is

\(y-y_1=m(x-x_1)\)

\(y-(1)=-\dfrac{5}{2}(x-(-4))\)

\(y-1=-\dfrac{5}{2}(x+4)\)

\(y-1=-\dfrac{5}{2}x-10\)

Adding 1 on both sides, we get

\(y=-\dfrac{5}{2}x-10+1\)

\(y=-\dfrac{5}{2}x-9\)

Therefore, the correct option is C.

Answer: 29,692.5 gallons of water

Step-by-step explanation: first i multiplied 7.5 and 107 and got 802.5 and since it wanted to know about 37 days i multiplied 802.5 by 37 and got 29,692.5

The state income tax owed on a $70,000 per year salary is $ $3,684.

To compute the state income tax payable on a $70,000 per year wage, we must first estimate how much of the salary falls into each progressive tax band and then calculate the tax owed for each range.

The first $2,000 in earnings is taxed at 2%:

This portion's tax = $2,000 x 0.02 = $40

The following $7,000 in earnings (from $2,001 to $9,000) is taxed at 5%:

This portion's tax = $7,000 x 0.05 = $350

The remainder of your income beyond $9,000 is taxed at 5.4%:

This portion's tax = ($70,000 - $9,000) x 0.054

= $61,000  x 0.054

= $ 3294

Now, the total amount of tax owed = 40 + 350 + 3294

= $ 3,684.

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Correct question:

A certain state uses the following progressive tax rate for calculating individual income tax:

Income Range ($)          Progressive Tax Rate

0-2000                                   2%

2001-9000                               5%

9001 and up                         5.4%

Calculate the state income tax owed on a $70,000 per year salary.

tax = $[?]

Round your answer to the nearest whole dollar amount

The ratio shows how ever many time s one value is Container contned in anoteer's r value.Calories:  25  50  75  200servings:  1/3  2/3  1    4/3

Ratio is a mathematical expression that is representing the relationship between the two numbers. It is a comparison of to the size or value of one quantity to the size or value of another quantity. Ratios are commonly used in mathematics, business, engineering, and many other fields.

Example:

There are 3 apple's ls's  and 2 ornnges ges in a basket.

The ratio of Apples ples to orangees s s is 3:2 or 3/2.

We have,

Calories:  25

servings:  1/3

This means,

25 calories can serve 1 out of 3.

25 calories = 1/3 servings ______(1)

Multiply 2 on both sides of (1).

50 calories = 2/3 servings

Multiply 3 on both sides (1).

75 calories = 1 serving.

Multiply 4 on both sides of (1).

200 calories = 4/3 servings.

Thus,

Calories: 25  50  75  200

servings:  1/3  2/3  1    4/3


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The ratio shows how ever many time s one value is Container contned in anoteer's r value.Calories:  25  50  75  200servings:  1/3  2/3  1    4/3

Ratio is a mathematical expression that is representing the relationship between the two numbers. It is a comparison of to the size or value of one quantity to the size or value of another quantity. Ratios are commonly used in mathematics, business, engineering, and many other fields.

Example:

There are 3 apple's ls's  and 2 ornnges ges in a basket.

The ratio of Apples ples to orangees s s is 3:2 or 3/2.

We have,

Calories:  25

servings:  1/3

This means,

25 calories can serve 1 out of 3.

25 calories = 1/3 servings ______(1)

Multiply 2 on both sides of (1).

50 calories = 2/3 servings

Multiply 3 on both sides (1).

75 calories = 1 serving.

Multiply 4 on both sides of (1).

200 calories = 4/3 servings.

Thus,

Calories: 25  50  75  200

servings:  1/3  2/3  1    4/3


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The connection test is performed prior to making any ends in view of the tests for the primary impacts. The effect of one factor on the population mean when two factors interact is determined by the specific value or level of the other factor.

Before drawing any conclusions based on the tests for the main effects, the interaction test is carried out. The effect of one factor on the population mean when two factors interact is determined by the specific value or level of the other factor.

There may be an interaction if the plot's lines don't line up in the same direction. A collaboration demonstrates that the method for the Y information at the levels of the main X variable are different at each level of the second X variable. The interaction's strength increases with the number of nonparallel lines.

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