Ticket prices for 3-D movies are $10 for a child and $15 for and adult .One adult spends $55 to take a group of children to the movies.Write and solve an equation to find how many children go to the movies.Show your work

Answer:

C) Less than 5

Step-by-step explanation:

First you find 11% of 35

35 x .11 = 3.85

3.85<5

Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT

The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

1101011100001

Step-by-step explanation:

i attached the calculation there. hope it's clear enough

We can write g in terms of f as: g(x) = f(x) - 3 = x² - 3

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

To write g in terms of f, we can use function composition, which involves plugging the function f(x) into g(x) wherever we see x.

So, we have:

g(x) = f(x) - 3

where f(x) = x².

Substituting f(x) into g(x), we get:

g(x) = (x²) - 3

Therefore, we can write g in terms of f as:

g(x) = f(x) - 3 = x² - 3.

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Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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Answer:

x= -3, x=7

Step-by-step explanation:

384 bc if 16 Is negative for get about the negative sign just add

The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

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Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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The area of the Shaded region, when the frame is 1 unit wide, is 20 square units.

The area of the shaded region when one rectangle is framed within another and the frame has a width of 1 unit, we need to calculate the difference between the areas of the outer rectangle and the inner rectangle.

the dimensions of the outer rectangle as length and width, and the dimensions of the inner rectangle as length' and width'. Based on the information provided, the length and width of the outer rectangle are 5 and 7 units, respectively.

The dimensions of the inner rectangle can be found by subtracting twice the width of the frame (1 unit) from the dimensions of the outer rectangle:

Length' = length - 2 * frame width = 5 - 2 * 1 = 3 units

Width' = width - 2 * frame width = 7 - 2 * 1 = 5 units

Now we can calculate the areas of the outer and inner rectangles:

Area of the outer rectangle = length * width = 5 * 7 = 35 square units

Area of the inner rectangle = length' * width' = 3 * 5 = 15 square units

Finally, to find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle:

Area of shaded region = Area of outer rectangle - Area of inner rectangle = 35 - 15 = 20 square units

Therefore, the area of the shaded region, when the frame is 1 unit wide, is 20 square units.

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Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

196

Step-by-step explanation:

196

Answer:

Step-by-step explanation:

pix

Answer:

64

Step-by-step explanation:

Let the missing side be " x "

30 /  ( 30 + 10 ) = 48 / x.

30 / 40 = 48 / x

3 / 4 = 48 / x

3 * x = 4 * 48

x = 4 * 48 / 3

  = 4 * 16

x = 64

Answer:

2cos(3ẞ/2)(sin(7ẞ/2) + cos(19ẞ/2))

Step-by-step explanation:

We can use the identity for the sum of two sines to rewrite the expression as follows

sin 4ẞ + sin 10ẞ = 2sin(7ẞ/2)cos(3ẞ/2)

Similarly, we can use the identity for the sum of two cosines to rewrite the expression as follows

22ẞ + sin 16ẞ = 2cos(19ẞ/2)cos(3ẞ/2)

Therefore, we have

sin 4ẞ + sin 10ẞ + 22ẞ + sin 16ẞ = 2sin(7ẞ/2)cos(3ẞ/2) + 2cos(19ẞ/2)cos(3ẞ/2)

Factoring out the common factor of cos(3ẞ/2), we get

sin 4ẞ + sin 10ẞ + 22ẞ + sin 16ẞ = 2cos(3ẞ/2)(sin(7ẞ/2) + cos(19ẞ/2))

Therefore, the expression can be expressed as a product of 2cos(3ẞ/2) and the sum of sin(7ẞ/2) and cos(19ẞ/2).

Answer:

your numbers are -5 and 9, since 9 * -5 = -45 but 9 + (-5) = 9 - 5 = 4

Answer:

The numbers are 9 and -5

Step-by-step explanation:

9×-5= -45

9-5 = 4

Answer:

A.

Step-by-step explanation:

Rectangle: Length * Width

       —> 12 * 2 = 24

Triangle: Base * Height * 1/2

       —> 12 * 2 * 1/2 = 12

Matches answer A.

Answer and Step-by-step explanation:

To solve for r,

You must take all the values away from r to the other side of the equal sign.  We do this using our operations: Addition, Subtraction, Multiplication, and Division.

First, we see that -3.54 isn't connected to r directly, so we can add that to both sides of the equation to get rid of -3.54 on the left side of the equation.

2.5(r - 4.4) + -3.54 + 3.54 = 6.46 + 3.54

2.5(r - 4.4) = 10

Next, we see that 2.5 is multiplying the expression (r - 4.4). We would need to divide both sides of the equation by 2.5.

\(\frac{2.5(r - 4.4)}{2.5} =\frac{10}{2.5}\)

r - 4.4 = 4

Finally, we must add 4.4 from both sides to get r by itself.

r - 4.4 + 4.4 = 4 + 4.4

r = 8.4

The answer is 8.4

I hope this helps!
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Answer:

The equation of a line can be expressed in slope-intercept form as y = mx + b, where m is the slope of the line and b is the y-intercept.

We know that the slope of the line is -1, and that the line passes through the point (4, -6).

Substituting these values into the slope-intercept form of the equation, we get:

-6 = (-1)(4) + b

Simplifying this equation, we get:

-6 = -4 + b

Adding 4 to both sides, we get:

-2 = b

So the y-intercept of the line is -2, and the equation of the line in slope-intercept form is:

y = -x - 2

Alternatively, we could use the point-slope form of the equation of a line, which states that the equation of a line passing through the point (x1, y1) with slope m is given by:

y - y1 = m(x - x1)

Substituting the values of the point and slope, we get:

y - (-6) = -1(x - 4)

Simplifying this equation, we get:

y + 6 = -x + 4

Subtracting 6 from both sides, we get:

y = -x - 2

So we get the same equation as before.

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

Answer:

y>-3

Step-by-step explanation:

Distributive property

18y-21>-75

18y-21>-75

    +21>+21

18y>-54

Divide each side by 18

y>-3

For the given function, we have:

Domain:  (-∞, ∞)

Range: [-2, ∞)

Remember that for a function the domain is the set of the possible inputs while the range is the set of the outputs.

On the graph, we can see a quadratic equation, remember that for every polynomial the domain is the set of all the real values, the same is for this case, so we conclude that the domain is:

D: (-∞, ∞)

The range will be the set of all values larger than the minimum of the parabola, which is at the vertex.

On the graph, we can see that the minimum is y = -2, then the range is:

R: [-2, ∞)

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Answer:

The probability that at least 13 flights arrive late is 2.5196 \(\times 10^{-6}\).

Step-by-step explanation:

We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.

A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.

The above situation can be represented through binomial distribution;

\(P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........\)

where, n = number of trials (samples) taken = 18 Southwest flights

           r = number of success = at least 13 flights arrive late

          p = probability of success which in our question is probability that

                flights arrive late, i.e. p = 1 - 0.80 = 20%

Let X = Number of flights that arrive late.

So, X ~ Binom(n = 18, p = 0.20)

Now, the probability that at least 13 flights arrive late is given by = P(X \(\geq\) 13)

P(X \(\geq\) 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)

= \(\binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}\)

= \(\binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}\)

= 2.5196 \(\times 10^{-6}\).

Answer:

1/2 * 3/5 = 3/15 = 1/5

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

If lines l and m are parallel, then using the corresponding angles theorem, the angle that forms a linear pair with angle \(x\) is \(110^{\circ}\).

This means that \(x=70\).

Answer:

1. s=gfcgj sdgc

gzgixxhcxc

vxtuixzdfhvxxgjknn

jfhujhgcxvjkmvcghj

mvhuiknbb5542698755

8423675369

8823

Answer:

16

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

8 : 1/2 = 16

2/5(4) + 2/5(10y)

8/5 +20y/5

8/5 + 4y

Answer:

8/5 + 4y

Step-by-step explanation:

\(\frac{2}{5}(4)=\frac{8}{5}\\\\\frac{2}{5}(10y)=4y\\\\\frac{8}{5}+4y\)

Based on the information given, the length of fabric that's needed will be 288 inches.

From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:

= 72 inches × 4

= 288 inches.

Therefore, the length of fabric that's needed will be 288 inches.

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For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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