A school sold 461 tickets for the school play. Student tickets cost $3 and adult tickets cost $4. Ticket sales totaled $1624.

Part A. Write and solve a system of equations to model this situation.

Part B. Then explain the meaning of your solution.

The rate of change of the area is 3868.48 cm2/min

What in math is a rate?

A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. This ratio compares two dissimilar units: ounces and cents

A = A(r) (r)

r = r(t) (t)

A = A(r(t))

The chain rule can be used to resolve this kind of issue.

Rate of area change:

(dA/dr)(dr/dt) = dA/dt

A=r2 dA/dr = 2r

dr/dt [given] = 7 cm/min

(2r)(7 cm/min) = (dA/dt)

If r = 88 cm,

dA/dt = 2π (88 cm) (7 cm/min) ≅ 3868.48 cm2/min

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Answer:

25

64

Step-by-step explanation:

x^2

5^2

25

(X+3)^2

(5+3)^2

8^2

64

Hopes this helps please mark brainliest

Answer:

a) x = 25

b) 16

Step-by-step explanation:

a) x^2 = 5^2 = 25

b) (x + 3)2 = (5 + 3)2= (8)2 = 16

The function representing the graph is f(x) = (x + 5)²(x - 3)². The correct option is (a).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The given graph of the function cuts x axis at (-5,0) and (3,0) and y axis at (0,225) respectively.

Since the zeros of a function is the point at which it cuts the x-axis, the zeros at of the given functions are -5 and 3.

Which implies that the factors are (x + 5) and (x - 3) respectively.

The given factors are valid for options (a) and (d).

Now, at x = 0 f(x) should be 225.

It can be checked for both the options as follows,

(a) f(x) = (x + 5)²(x - 3)²

=> f(0) = (0 + 5)²(0 - 3)²

           = 5² × -3²

           = 225

Hence, the function that represents the given graph is f(x) = (x + 5)²(x - 3)².

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The roster form of the set P is; {-2, -1, 0, 1}

The builder notation of the set P is; {x : x ∈ I, −2 < x ≤ 1}

We are told that P is the set of integers that are greater than -3 and less than or equal to 1.

Roster form of sets is done by listing the elements of the set, separated by commas, inside a set of curly brackets.

Since P is the set of integers that are greater than -3 and less than or equal to 1, then the possible numbers are; (-2, -1, 0, 1)

The roster form is; {-2, -1, 0, 1}

The builder notation of this set is;

{x : x ∈ I, −2 < x ≤ 1}

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In linear equation, The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Patrick walks 9/10 miles to the gym.

Then the number of miles that he walked when he was covered 2/3 of the distance to the gym will be

⇒ 9 / 10 - 2 / 3

⇒ (27 - 20) / 30

⇒ 7 / 30

The number of miles that he walked when he was covered and 2/3 of the distance to the gym will be 7/30 miles.

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Answer:

107 degrees

Step-by-step explanation:

The four angles of a parallelogram add up to 360 degrees. Any two adjacent angles of a parallelogram add up to 180 degrees. So y is equal to 180 degrees minus 73 degrees, which is equal to 107 degrees.

Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.

An algebraic equation is a linear equation. Each term in a linear equation is either a constant or the result of a constant plus one variable. In the case of a linear equation with two variables, the graph is a straight line.

Here,

A) From the given  we can find the price per ticket

which is => y/x

=> 60/5

=>12

Therefore the price per ticket is $12

B)The equation can be used to represent the graph is

y= 12x

C) The theater were to sell 328 tickets they would make

=> 328*12=3936

Therefore the money would they make is $3936

D)The relationship proportional as we can see from the graph

Therefore , the price per ticket is $12,the equation used is y=12x, the theatre made $3936 by selling 328 ticket and the relationship is proportional.

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Answer: 3/7

Step-by-step explanation:

1. We know that 2/4 + 2/4 is 1.
2. 1 can also be expressed as 7/7, because its easier to subtract 7/7 and 4/7 because they have the same denominator

3. 7/7-4/7=3/7

Answer:

3/7

Step-by-step explanation:

x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = [tex]2^{x}[/tex],

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = [tex]2^{x}[/tex]

Taking log on both sides:

                 ln8 = ln[tex]2^{x}[/tex]

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

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Number is the equivalent of the one written in scientific notation is

3. 21 × 104 kg = kg 2. 0 × 10-5 l = l

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 108 in scientific notation.

we have the number,

[tex]$0.000013$we know that$0.000013=\frac{13}{1000,000}=\frac{13}{10^6}=13 * 10^{-6}=1.3 * 10^{-5}$[/tex]

[tex]thereforethe answer is$1.3 * 10^{-5}$[/tex]

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.

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Answer:

C

Step-by-step explanation:

x² + 6x - 7 = 0 ( add 7 to both sides )

x² + 6x = 7

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 7 + 9

(x + 3)² = 16

Answer:

d=24

Step-by-step explanation:

The value of the given expression is 15% of $28 = (15×28)/100 = $4.2, 20% of $74 = (20×74)/100 = $14.8, 18% of $128 = (18×128)/100 = $23.04

What is an expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Here, we have

Given the following expression and we have to find the values of given expressions.

15% of $28 = (15×28)/100 = $4.2

20% of $74 = (20×74)/100 = $14.8

18% of $128 = (18×128)/100 = $23.04

Hence, the value of the given expression is 15% of $28 = (15×28)/100 = $4.2, 20% of $74 = (20×74)/100 = $14.8, 18% of $128 = (18×128)/100 = $23.04

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Part a

This represents a translation of 2 units to the right. So, the points are [tex](6, -3), (0,0), (8, -15)[/tex].

Part b

This represents a translation of 9 units up. So, the points are [tex](4,6), (-2,9), (-10,-6)[/tex].

Part c

This represents a translation of 3 units left and 1 unit down. So, the points are [tex](1, -4), (-5, -1), (-13, -16)[/tex].

Answer: The answer is 121

Step-by-step explanation:

The answer is

[tex] \frac{1}{ab} [/tex]

because

[tex] \frac{1}{a(a + b)} + \frac{1}{b(a + b)} = \frac{1}{ab} [/tex]

Thank yuo give brainlist

The equation of line is given below:

a) m = 2 , b = -3

b) m = -3/2 , b = -2

c) m = not defined , b = none

d) m = 0 , b = -8

e) m = [tex]\frac{2}{3}[/tex] , b = -4

What do you mean by equation of line?

A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. A number of points that together form a line of axes, represented as a set of variables x,y, form an algebraic equation called the line equation.

Slope intercept form of the line is y = mx - b where m is the slope of the line and b is the x-intercept

a) y = 2x + 3

On comparing the equation with y = mx - b, we get m = 2 , b = -3

b) 2y = -3x -4

⇒ y = ( -3x -4 )/2

⇒ y = [tex]\frac{-3x}{2}[/tex] - 2

On comparing the equation with y = mx - b, we get m = -3/2 , b = -2

c) x = -10

⇒ x + 10 =  0

On comparing the equation with y = mx - b, we get m = not defined , b = none

d) y= 8

On comparing the equation with y = mx - b, we get m = 0 , b = -8

e) 3y = 2x + 12

⇒ y = (2x + 12)/3

⇒ y = [tex]\frac{2x}{3}[/tex] + 4

On comparing the equation with y = mx - b, we get m = [tex]\frac{2}{3}[/tex] , b = -4

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Answer: 5 trust me

Step-by-step explanation: trust me

Answer: 40 in2

Step-by-step explanation:

Area of a triangle = 1/2 (base)(height)

Side AB is common to both triangles

BC = 5(BD)

Area ABD = 8, therefore Area ABC = 5(8) = 40

The output will be if Input (x) = a number is y = 3x - 8, so option D is correct.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

Input (x) = a number,

Output (y) = 8 less than 3 times x.

Assume a number x which is an input,

3 times of x  = 3x,

8 less than 3 times of x = 3x - 8

Therefore, the output will be if Input (x) = a number is y = 3x - 8.

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Answer:

Hope this help :)

Step-by-step explanation:

A number plus1/5 of the number can be expressed as n + 1/5n .

A number is defined as it is an arithmetic value which is used to represent the given quantity or in making calculations. Hence, a number is a mathematical concept which is used to count, measure, and label it . Thus, we can say that numbers form the basis of mathematics.

n = number

A number in which we plus 1/5 of the number then it can be expressed as;

1 + 1/5 n

6/5 + n

n + 1/5 n

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Answer:

-62272

Step-by-step explanation:

Multiplication on a piece of paper also a positive multiplied by a negative is negative so -556 * 112 = -66272.

The required type of p-value would she want to obtain is small p-value.

Hypothesis testing is a type of measurable surmising that utilizes information from an example to make inferences about a populace boundary or a populace probability distribution. Initial, a speculative supposition that is made about the boundary or dispersion.

P-value  shows that the outcomes are genuinely huge.

P-value  in Measurements assists with performing speculation test and it assists with deciding the meaning of the outcomes.

A little P-value  commonly (P<0.05) demonstrates solid proof against the invalid speculation in this way, we reject the invalid speculation, on opposite when P-esteem is enormous we can't dismiss the invalid speculation.

Thus, required answer is small p-value.

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Answer: Sam

Step-by-step explanation: I am pretty sure. Hope you find it helpful!

The value of the sixth term of the sequence will be negative 64.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

If the first term (a₁) is 2 and the relation is aₙ = -2aₙ₋₁.

The second term is given as,

a₂ = -2a₂₋₁

a₂ = -2a₁

a₂ = -2 x 2

a₂ = - 4

The third term is given as,

a₃ = -2a₃₋₁

a₃ = -2a₂

a₃ = -2 x ( - 4)

a₃ = 8

The fourth term is given as,

a₄ = -2a₄₋₁

a₄ = -2a₃

a₄ = -2 x 8

a₄ = - 16

The fifth term is given as,

a₅ = -2a₅₋₁

a₅ = -2a₄

a₅ = -2 x (- 16)

a₅ = 32

The sixth term is given as,

a₆ = -2a₆₋₁

a₆ = -2a₅

a₆ = -2 x 32

a₆ = - 64

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Answer: -64

Step-by-step explanation:

The five requirements that a person should know about their pet before owning one are shown below.

An animal that you keep as a pet in your home is for your entertainment and company.

There are 5 requirements that a person should know about their pet before owning one.

Freedom from thirst and hunger All canines and felines have to have quick access to food and clean water.

Liberation from discomfort.

Freedom from discomfort, harm, or illness.

Having the ability to act normally.

Freedom from anxiety and pain.

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The given inequality in the graph is represented by the inequality y < x - 2. The correct option is C.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that the graph is attached to the question and shows one of the inequalities from the options.

When the inequalities are plotted on the desmos graph it is observed that the inequality which represents the graph is y < x − 2.

Therefore, the given inequality in the graph is represented by the inequality y < x - 2. The correct option is C.

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