Beth is selling tickets for a dinner at her school.
* Adult's tickets cost $6.00 each
Children's tickets cost $4.50 each
* Beth sold a total of 520 tickets
* Beth's ticket sales totaled $2,707.50.
How many tickets of each type were sold?
A. 245 children's tickets, 275 adult's tickets
B. 257 children's tickets, 263 adult's tickets
C. 260 children's tickets, 260 adult's tickets
D. 275 children's tickets, 245 adult's tickets

Answer:

Example 2:

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

The maximum number of people Eddy can invite is 37.

The equation is simply used to show the relationship between the variables given.

In this case, it is going to cost him $150 to cater the party, plus $4 per person for drinks and he only has $300 to spend.

Let the number of persons be represented by p

The equation will be:

150 + (4 × p) = 300

150 + 4p = 300

Collect like terms

4p = 300 - 150

4p = 150

Divide

p = 150 / 4

p = 37.5

The maximum number is 37.

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Answer:

Height of the empire building = 1505.57 ft

Step-by-step explanation:

Jada is visiting new York city to see the empire state building . She is 100 ft away when the she spots it. To see the top she has to look at an angle of 86.2° . The illustration forms a right angle triangle.

The height of the empire can be gotten below.

the adjacent side of the triangle formed  = 100 ft

The side we are looking for is the opposite side which is the height of the empire state building. The angle formed is the angle of elevation from the ground to the top which is 86.2°

Using SOHCAHTOA principle the height can be gotten with the tangential degree.

tan 86.2° = opposite/adjacent

tan 86.2° = a/100

a = 100 tan 86.2

a = 100 × 15.0557227245

a = 1505.57227245

a ≈ 1505.57 ft

Height of the empire building = 1505.57 ft

Answer:

51.0feet

Step-by-step explanation:

To get the length of the given diagonal, we will use pythagoras theorem as shown;

First we need to get the diagonal of the  base;

d² = 40²+30²

d² = 1600+900

d² = 2500

d = √2500

d = 50ft

The diagonal of the base is 50ft

Get the required diagonal

Let the required diagonal be x

x² = 10²+50²

x² = 100+2500

x² = 2600

x = √2600

x = 50.99feet

Hence the distance of the red line is 51.0feet to the nearest tenth

5. The line that contains the circumcenter in ΔABC is: line k.

6. The line that contains the orthocenter in ΔABC is: line m.

7. The line that contains the centroid in ΔABC is: line l.

8. The line that contains the centroid in ΔABC is: line n.

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

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Answer:

D

Step-by-step explanation:

Edge 2020 :)

Answer:

the answer is D

Step-by-step explanation:

Answer:

For a it's 1, for b, it's 9

Step-by-step explanation:

1 is equal to 7/7. 9/1 is equal to 9.

Hope this helps! If it does, please mark me brainliest. Thank you! ;)

On average, approximately 3.152 customers will be waiting in the queue at the stadium.

To calculate the average number of customers waiting in the queue, we can use the queuing theory formulas. The arrival rate of customers is given as 180 per minute, which means the arrival rate is λ = 180/60 = 3 customers per second. The service time is given as an average of 21 seconds per customer, so the service rate is μ = 1/21 customers per second.

To calculate the utilization factor (ρ), we divide the arrival rate by the service rate: ρ = λ/μ. In this case, ρ = 3/1/21 = 9.857.

Next, we calculate the coefficient of variation for arrival time (C_a) and service time (C_s) using the given values. C_a = 13% = 0.13 and C_s = 13% = 0.13.

Using the queuing theory formula for the average number of customers waiting in the queue (L_q), we have L_q = ρ^2 / (1 - ρ) * \((C_{a}^2 + C_{s}^2)\) / 2.

Plugging in the values, L_q = \((9.857^2) / (1 - 9.857) * (0.13^2 + 0.13^2) / 2 = 3.152\).

Therefore, on average, approximately 3.152 customers will be waiting in the queue at the stadium.

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The solution of the given question is ,the confidence level for the interval is approximately 95%.

Probability is  branch of mathematic that deals with study of random events or phenomena. It involves the measurement of the likelihood of the occurrence of  event, which is expressed as  number between 0 and 1, where 0 represents an impossible event and 1 represents  certain event.

To determine the confidence level for the interval μ ≤ x + 2.00σ/√n, we can use the standard normal distribution and the fact that the area under the curve to the left of 2.00 is approximately 0.9772. Therefore, the probability of a random sample mean being less than or equal to x + 2.00σ/√n is 0.9772. This means that the confidence level for the interval is approximately 97.72%.

To determine the confidence level for the interval x - 1.96σ/√n ≤ μ, we can again use the standard normal distribution and the fact that the area under the curve between -1.96 and 1.96 is approximately 0.95. Therefore, the probability of a random sample mean falling within 1.96 standard deviations of the true population mean is 0.95. This means that the confidence level for the interval is approximately 95%.

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Answer:

Shape ABCDEF is a hexagon.

The length of side BC is 5 units.

The length of side ED is 5 units.

You can find the length of side FA by counting.

are your answers

Step-by-step explanation:

Answer:The guy is correct

Have a great day!

ps its 2021 edguinty

Step-by-step explanation:

(a) The graph of N versus t over the first 1200 days follows a logistic function with an initial value of 1000 and an exponential growth factor. The graph starts at N = 1000 and gradually increases, leveling off as t increases.

(b) To determine the number of days it takes for the tumor to reach 100 times its size at the time of diagnosis, we need to solve the equation 1000(1 + 999e^(-0.0126t)) = 100, where t represents the number of days. By solving this equation, we can find the value of t.

(a) To plot the graph of N versus t over the first 1200 days, we use the logistic function N = 1000 / (1 + 999e^(-0.0126t)). We plug in different values of t from 0 to 1200 and calculate the corresponding values of N. The resulting graph will start at N = 1000 and gradually increase, approaching an upper limit as t increases.

(b) To find the number of days it takes for the tumor to reach 100 times its size at the time of diagnosis, we solve the equation 1000(1 + 999e^(-0.0126t)) = 100. Simplifying this equation gives 1 + 999e^(-0.0126t) = 0.1. By isolating the exponential term, we have e^(-0.0126t) = 0.1/999. Taking the natural logarithm of both sides, we get -0.0126t = ln(0.1/999). Finally, solving for t, we find t ≈ -ln(0.1/999)/0.0126 ≈ 1260.4 days. Rounded to one decimal place, the tumor takes approximately 1260.4 days after diagnosis to reach 100 times its size at the time of diagnosis.

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first off let's notice a few things on that function.

the graph "passes" -5, that's a root, the graph "touches" 3 and goes back up, that's another root, but that's a root with an "even multiplicity", the heck does that mean? well, it means there are at least two roots, could be 4 or 6 or 18, so long is even, but we're shooting for the least degree, so we'll settle for 2.

now hmm, let's reword that

what's the equation of a function with roots at -5 and 3 twice, that it passes through (0 , 9)?

\(\begin{cases} x = -5 &\implies x +5=0\\ x = 3 &\implies x -3=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +5 )( x -3 )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=0\\ y=9 \end{cases} \\\\\\ a ( 0 +5 )( 0 -3 )( 0 -3 ) = 9\implies 45a=9\implies a=\cfrac{9}{45}\implies a=\cfrac{1}{5} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{1}{5}(x+5)(x-3)^2=y\implies \cfrac{1}{5}(x+5)(x^2-6x+9)=y \\\\\\ \cfrac{1}{5}(x^3-x^2-21x+45)=y\implies {\Large \begin{array}{llll} \cfrac{x^3}{5}-\cfrac{x^2}{5}-\cfrac{21x}{5}+9=y \end{array}}\)

Check the picture below.

9 people can be seated at a round table is 8! = 40,320.

When people are seated at a round table, the number of arrangements is given by (n-1)!, where n is the number of people. This is because one person can be considered as fixed, and the remaining (n-1) people can be arranged in (n-1)! ways. So for 9 people, the number of arrangements is (9-1)! = 8! = 40,320.

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The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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We will need 2 different planes for 6 points in space.

Given is to find -

"How many different planes determine 6 points in space, if there are never more than 3 in the same plane."

There cannot be never more than 3 points in the same plane. So, we will need 2 different planes for 6 points in space.

Therefore, we will need 2 different planes for 6 points in space.

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{Question in english -

How many different planes determine 6 points in space, if there are never more than 3 in the same plane? (Note : three points determine a plane)}

Answer:

I don't know rjdjdjjdjddjidis

The computer equipment was acquired at a cost of $73,700 with an estimated residual value of $34,600 and a useful life of 5 years. The depreciable cost of the equipment is $39,100. The straight-line rate is 20%, and therefore, the annual straight-line depreciation for the computer equipment is $7,820.

a. To determine the depreciable cost, we subtract the estimated residual value from the initial cost: $73,700 - $34,600 = $39,100.

b. The straight-line rate is calculated by dividing 100% by the estimated useful life of the equipment. In this case, the straight-line rate is 100% / 5 = 20% per year.

c. The annual straight-line depreciation is found by multiplying the depreciable cost by the straight-line rate. Thus, the annual depreciation is $39,100 * 20% = $7,820 per year.

By following these calculations, we can determine that the depreciable cost of the computer equipment is $39,100, the straight-line rate is 20%, and the annual straight-line depreciation amounts to $7,820.

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The Annual Percentage Yield (APY) in this situation is approximately 2.454%.

To find the Annual Percentage Yield (APY) in this situation, use the formula:

\(APY = (1 + r/n)^n - 1\)

where:

- r is the annual interest rate (APR) expressed as a decimal,

- n is the number of compounding periods per year.

In this case, the APR is 2.42% or 0.0242 (expressed as a decimal), and the interest is compounded monthly, so there are 12 compounding periods per year (n = 12).

Substituting these values into the formula,

\(APY = (1 + 0.0242/12)^{12} - 1\)

Calculating this expression:

\(APY = (1 + 0.002017)^{12} - 1\)

  \(= (1.002017)^{12} - 1\)

   ≈ 0.02454 or 2.454%

Therefore, the Annual Percentage Yield (APY) in this situation is approximately 2.454%.

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Answer:

\(4p^2-3\)

Step-by-step explanation:

Answer:

im sorry i dont know good luck

Step-by-step explanation:

Answer:

\(\large\boxed{\tt x = 2}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for x in the given equation.}\)

\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)

\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{How is this possible?}}\)

\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)

\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)

\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)

\(\textsf{of once.}\)

\(\large\underline{\textsf{For our problem;}}\)

\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)

\(\textsf{Property of Equality;}/tex]

\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)

\(\tt - x^{3} = 8\)

\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)

\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)

\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)

\(\underline{\textsf{Evaluate;}}\)

\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)

\(\textsf{*Note;}\)

\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)

\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)

\(\underline{\textsf{We should have;}}\)

\(\tt -x=2\)

\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)

\(\large\boxed{\tt x = 2}\)

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

\(y=5/6\approx0.83\)

Step-by-step explanation:

So we have the equation:

\(5(2y+1)=4y+10\)

First, let's distribute the left side of our equation:

\(5(2y)+5(1)=4y+10\)

Multiply:

\(10y+5=4y+10\)

Now, let's isolate the y-variable. Subtract 4y from both sides:

\((10y+5)-4y=(4y+10)-4y\)

The right side cancels. Subtract on the left. So:

\(6y+5=10\)

Now, subtract 5 from both sides:

\((6y+5)-5=(10)-5\)

The left side cancels. Subtract on the right:

\(6y=5\)

Now, divide both sides by 6. So:

\(\frac{6y}{6}=\frac{5}{6}\)

The left will cancel. Therefore:

\(y=5/6\approx0.83\)

And we're done!

Answer: 8.42 x 10^2

Step-by-step explanation: (8 x 109) - (3 x 10) = 842

Scientific Notation has to be between 1 -10 so the it has to be 8.42 and

8.42 x 100 = 842 and 10 x 10 = 100 so you'd need 10^2 which makes the answer 8.42 x 10^2.

Answer:

The answer is 842

Step-by-step explanation:

8.42 X 10^2=842

Answer:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

Step-by-step explanation:

Swap f(x) and x position of the function, thus:

\(\displaystyle{x=7f(x)+3}\)

Then solve for f(x), subtract 3 both sides and then divide both by 7:

\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)

Since the function has been inverted, therefore:

\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)

And we can prove the answer by substituting x = 1 in f(x) which results in:

\(\displaystyle{f(1)=7(1)+3 = 10}\)

The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):

\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)

The input is 1. Hence, the solution is true.

Answer:

first give options it is very hard to do