The price of an all access ticket to the fair is $42.99 before tax. Roland bought the all access ticket for 40% off. He then paid 7% sales tax on the discounted price. How much did Roland pay in sales tax?What is the total amount that Roland paid for the ticket?

Answer: A.) 10

Step-by-step explanation:

Answer:

i'm thinking it's c

Step-by-step explanation:i'm jus built different

The  scale factor of the dilation is 30:1.

We have,

A superhero action figure has a volume of 1500 cm³.

The volume of the dilated figure is 45,000 cm³

Now, the scale factor should be

= 45000/ 1500

= 30 /1

Thus, the scale factor of the dilation is 30:1.

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Answer:

-6

Step-by-step explanation:

(3 x 6) - (3 x 14)

= 18 - 42

= -24

-24/4

= -6

Answer:

You will pay 81.25

Step-by-step explanation:

If the cost is 35% off, you will need to pay 100% - 35% = 65%

125 * 65 %

125 *.65

81.25

You will pay 81.25

Answer:

A(3,-1) and B( -2,1)

Step-by-step explanation:

2x+5y=1. , or. y=(1–2x)/5………….(1)

x^2+5xy-4y^2+10=0…………………..(2)

Putting y=(1–2x)/5 from eqn. (1)

x^2+5x.(1–2x)/5–4/25.(1–2x)^2 +10=0

or. 25x^2+25x.(1–2x)-4.(1+4x^2–4x)+250 = 0

or. 25x^2+25x-50x^2–4–16x^2+16x+250=0

or. 41x^2–41x-246=0

or x^2– x - 6=0

or. (x-3).(x+2)=0

=> x= 3 or -2

But y=(1–2x)/5

=> y= (1–6)/5 or. (1+4)/5

hence, y= -1. or. 1

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Answer:

Step-by-step explanation:

The company breaks even, meaning the profits are $0, only when it sells 10,000 boxes.

The value of x for a height 1 foot below the starting point will be the negative 2.76.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

A water ride with heights above and below the starting point can be modeled by the function is given below.

y = 3 sin⁡ (π / 2 (x + 3) − 2), Within the interval 0 < x < 5

We know that π / 2 = 90°

Then the value of x for a height 1 foot below the starting point will be

           1 = 3 sin⁡ (90 (x + 3) − 2)

        1/3 = sin⁡ (90 (x + 3) − 2)

   19.47 = 90 (x + 3) − 2

   21.47 = 90 (x + 3)

0.2385 = x + 3

          x = -2.76

Then the value of x will be the negative 2.76.

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Answer:

-2 ≤ x ≤ 14

Step-by-step explanation:

x - 6 + 7 ≥ -1

x + 1 ≥ -1

x ≥ -2

-(x - 6) + 7 ≥ -1

-x + 6 + 7 ≥ -1

-x + 13 ≥ -1

-x ≥ -14

x ≤ 14

Answer:

total= 180

Step-by-step explanation:

c t J=180

c=J+50

J+50+J=180

  25+50=180

  2J=130

  J=65

c=65+50

   c=115

Answer:

12/16 or 3/4

Step-by-step explanation:

If  we want to choose 6 objects, without replacement, from 8 distinct objects then total number of ways are 20160 (8x7x6x5x4x3).We can use the concept of permutation to find number of ways.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply put, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Combination and permutation are part of the accounting discipline's mathematical branch. Combinations are used in business decision-making to choose from among the available objects. In contrast, the arrangement of such objects that are chosen through combinations uses permutations.

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A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

If A = 136 when \(b_{1}\) = 7 and h = 16, find \(b_{2}\)

We are given the equation that we are working with:

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

We are given certain values that the variables, in this case, are equal to:

A = 136

\(b_{1}\) = 7

h = 16

Substitute the given variables in the given equation for the corresponding numbers:

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))

We know all the values in the equation except  \(b_{2}\). In order to find  \(b_{2}\) we must isolate it on one side of the equation

136 = 8 (7 + \(b_{2}\))

\(\frac{136}{8}\) = \(\frac{8 (7 + b_{2}) }{8}\)

17 = 7 + \(b_{2}\)

17 - 7 = 7 - 7 + \(b_{2}\)

10 =   \(b_{2}\)

If   \(b_{2}\) is equal to 10 then if we plug it back into the given equation both sides of the equation should equal each other. Remember to use PEMDAS

136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))

136 = \(\frac{1}{2}\) * 16 (7 + 10)

136 = \(\frac{1}{2}\) * 16 (17)

136 = 8 (17)

136 = 136

\(b_{2}\) = 10

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

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Answer:

15000(1.003425)^12t ;

4.11%

4.188%

Step-by-step explanation:

Given that:

Loan amount = principal = $15000

Interest rate, r = 4.11% = 0.0411

n = number of times compounded per period, monthly = 12 (number of months in a year)

Total amount, F owed, after t years in college ;

F(t) = P(1 + r/n)^nt

F(t) = 15000(1 + 0.0411/12)^12t

F(t) = 15000(1.003425)^12t

2.) The annual percentage rate is the interest rate without compounding = 4.11%

3.)

The APY

APY = (1 + APR/n)^n - 1

APY = (1 + 0.0411/12)^12 - 1

APY = (1.003425)^12 - 1

APY = 1.04188 - 1

APY = 0.04188

APY = 0.04188 * 100% = 4.188%

Answer: Yes

Step-by-step explanation:

Example : 4 x 2 = 8

8 = 4×4

Thus proven YES.

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Yes , the product of 4 and any number can always be written as a sum of two equal addends

What is an Equation?

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.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the product of 4 and number a be = P

Let the number to be multiplied be in set A = { 1 , 2 , 3 , 4 , 5 }

Now , the first number = 4

So , the equation will be

The product of 4 and any number a or any number in set A can be written as

a)

The product is P = 4 x a

Product P = 4 x 1

P = 4

It can be written as sum of two equal addends

P = 2 + 2

b)

The product is P = 4 x a

Product P = 4 x 2

P = 8

It can be written as sum of two equal addends

P = 4 + 4

c)

The product is P = 4 x a

Product P = 4 x 3

P = 12

It can be written as sum of two equal addends

P = 6 + 6

d)

The product is P = 4 x a

Product P = 4 x 4

P = 16

It can be written as sum of two equal addends

P = 8 + 8

e)

The product is P = 4 x a

Product P = 4 x 5

P = 20

It can be written as sum of two equal addends

P = 10 + 10

f)

The product is P = 4 x a

Product P = 4 x 6

P = 24

It can be written as sum of two equal addends

P = 12 + 12

Hence , Yes , the product of 4 and any number can always be written as a sum of two equal addends

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Answer:

\(P=\dfrac{\pi r^2+2800}{r} $ ft\)

Step-by-step explanation:

Let the length of the rectangular part =l

The width will be equal to the diameter of the semicircles.

Area of the Skating Rink= \(2(\frac{\pi r^2}{2})+(lX2r)\)

Therefore:

\(\pi r^2+2lr=2800\\2lr=2800-\pi r^2\\$Divide both sides by 2r\\l=\dfrac{2800-\pi r^2}{2r}\)

Perimeter of the Shape =Perimeter of two Semicircles + 2l

\(=2\pi r+2\left(\dfrac{2800-\pi r^2}{2r}\right)\\=2\pi r+\dfrac{2800-\pi r^2}{r}\\=\dfrac{2\pi r^2+2800-\pi r^2}{r}\\=\dfrac{\pi r^2+2800}{r}\)

The perimeter of the rink is given as:

\(P=\dfrac{\pi r^2+2800}{r} $ ft\)

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

the intersection points is where both equations' graph meet, or namely where one equation equals the other, or for this case when y = y, so

\(\begin{cases} y = 4x - 5\\ y = 2x^2-5x-10 \end{cases}\qquad \stackrel{y}{4x-5}~~ = ~~\stackrel{y}{2x^2-5x-10} \\\\\\ -5=2x^2-9x-10\implies 0=2x^2-9x-5 \\\\\\ 0=(x-5)(2x+1)\implies \begin{cases} 0 = x-5\\ 5 = x\\[-0.5em] \hrulefill\\ 0 = 2x+1\\ -1=2x\\ -\frac{1}{2}=x \end{cases}\)

well, we know what "x" is at those point, to get the "y" value, we can use either of the equations and substitute our "x" in it, hmmmm let's use the 1st equation for that

\(y = 4(\stackrel{x}{5})-5\implies y = 20-5\implies y = 15 \\\\\\ y = 4\stackrel{x}{\left( -\frac{1}{2} \right)}-5\implies y = -2-5\implies y = -7 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{intersection points}}{(5~~,~~15)\qquad \left(-\frac{1}{2}~~,~-7 \right)}~\hfill\)

The intersection points of the given system would be at the point:

\((5, 15) (-1/2, -7)\)

The two equations,

\(y=4x-5\)        \(...(i)\)

\(y=2x^2-5x-10\)     \(...(ii)\)

so,

\(-5 = 2x^2 - 9x - 10\) ⇒ \(0 = 2x^2 - 9x - 5\)

we get,

\((x - 5) (2x + 1) = 0\)

∵ \(x = 5 and x = -1/2\)

Now solving for \(y\) by putting the value of \(x\) in equation (i),

\(y = 4(5) - 5\)

∵ \(y = 15\)

\(y = 4(-1/2)^2 - 5\)

∵ \(y = -7\)

Thus, the values are \((5, 15) (-1/2, -7)\)

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Answer:

-5/2

Step-by-step explanation:

x= -b/2a

x= -6/4= -3/2

y=2×(9/4)+6(-3/2)+2= -5/2

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Answer:

21

Step-by-step explanation:

15-15=0

17-(-4)=21

sqrt(0^2+21^2)=21

a) The formula that describes the geometric sequence is of:

\(a_n = 20\left(\frac{7}{9}\right)^{n - 1}\)

b) The maximum height on the 6th bounce is of: 5.69 feet.

The definition of a geometric sequence is given by the equation presented as follows:

\(a_n = a_1(r)^{n - 1}\)

Which is used to calculate the nth term of the sequence.

In which the parameters of the equation are given as follows:

From the description in the text, the first term and the common ratio of the sequence are given as follows:

\(a_1 = 20, r = \frac{7}{9}\)

Then the formula that defines the sequence is given as follows:

\(a_n = 20\left(\frac{7}{9}\right)^{n - 1}\)

The maximum height, in feet, after the 6th bounce is given as follows:

\(a_6 = 20\left(\frac{7}{9}\right)^{6 - 1} = 5.69\)

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y = 6x

y = (8.9) (9.8)

y = 6x (8.9)

y = 8.9x

Answer:

When two shapes are similar but not congruent, the sequence of steps showing the similarity usually has a single dilation and then the rest of the steps are rigid transformations. The dilation can come at any time.

Step-by-step explanation:

When two shapes are similar but not congruent, the sequence of steps showing the similarity usually has a single dilation and then the rest of the steps are rigid transformations. The dilation can come at any time.

Answer:

Step-by-step explanation:  If you roll the die twice, the probability of getting a even number both times is (1/2)(1/2) ... A probability experiment consists of rolling a 6 sided die

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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