Mark sold 445 tickets for the school play. Student tickets cost $3 and adult tickets

cost $5. Mark's total income for the event was $1871. How any adult tickets did he

sell?

Answer:

6s + 2r = 21

Step-by-step explanation:

Please kindly see the attached file for explanaion

The correct equation showing the relationship between s and r is 6s + r = 21

To derive this equation, we consider the total time Diego spends on the competition, which is the sum of the time he spends spinning and the time he spends running.

Since Diego spins around in a circle six times and each spin takes time s, the total time spent spinning is 6s

After spinning, he runs to the tree, which takes time r.

Therefore, the total time from the start of the spinning until Diego reaches the tree is the sum of the time spent spinning and running.

 Given that Diego reaches the tree 21 seconds after he starts spinning, we can set up the following equation to represent this relationship:

6s + r = 21

 This equation states that six times the time spent on each spin plus the time spent running equals 21 seconds.

Solving this equation for either s or r would give us the time spent on each activity, provided we know the total time of 21 seconds.

Answer:

5n

Step-by-step explanation:

They are charging 5 dollars per person and n is the number of students.  You would multiply 5 by n (the number of students) to see how much money they raised.

Answer:

10th term: 40

11th term: 45

12th term: 50

Step-by-step explanation:

Substitute 10, 11 and 12 as n and solve the equation.

Answer:

all work is pictured and shown

The cost of a ticket for an adult is $12 while for children it is $10.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's assume that cost for adults is A while for children it is C

Now,

2 adults and 4 children spend $64.

2A + 4C = 64

1 adult and 3 children spend $42.

A + 3C = 42

Multiply by 2

2A + 6C = 84

By subtracting equations

6C - 4C = 84 - 64

2C = 20

C = 10

A = 42 - 3(10)

A = 12

Hence "The cost of a ticket for an adult is $12 while for children it is $10".

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Answer:

Step-by-step explanation:

It means there is no solution and the lines are parallel. It is called an inconsistent system.

I hope this helps

The system has no solution. Thus, the lines are parallel to each other.

The system of the equation has no solution. The expression leads to the value that is 0=4, which means you concluded the final result as 0=4.

Do you think practically it is possible, never, it is not possible to equate zero with four, same in the solutions of the system in the lines, this kind of results will not be taken by the intersecting lines.

Hence, the above expression is the condition for "No Solution"

If we try to evaluate the solution of the system that has no solution or an infinite number of solutions, then the variables are canceled out and only the constant values are left that are not equal.

Therefore, The lines are parallel and the system of the equation has no solution.

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Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

Given

5x(a - b) - 2y(a - b) ← factor out (a - b) from each term

= (a - b)(5x - 2y) ← in factored form

The polynomial 5x(a-b)-2y(a-b) can be factored into (a-b)(5x-2y). This is achieved by taking out the common factor of (a-b) from both terms.

To factor the polynomial

5x(a-b)-2y(a-b)

, you first notice that the terms have a common factor, (a-b). Factoring is a process where you write the expression as a product of its factors. In this case, you can pull out the common factor from both terms. This leaves you with

(a-b)(5x-2y)

. So, the factored form of the given polynomial is (a-b)(5x-2y). By applying the distributive property, you can check your work: (a-b)*5x gives the first term and (a-b)*(-2y) gives the second term, confirming the factored form is correct.

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Answer:

y=4x

Step-by-step explanation:

First, find the slope

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

We know 2 points, (2,8) and (12,48).

(2,8) can be (x1, y1)

(12,48) can be (x2, y2)

We can say that y2 is 48, y1 is 8, x2 is 12, and x1 is 2. Substitute them in

[tex]m=\frac{48-8}{12-2}[/tex]

[tex]m=\frac{40}{10}[/tex]

m=4

Now, we can use the point slope formula, since we have a point and the slope

[tex]y-y_{1} =m(x-x_{1})[/tex]

We know m, the slope is 4. We also know a point (2,8), which is (x1, y1). Substitute them in

y-8=4(x-2)

Distribute the 4

y-8=4*x-2*4

y-8=4x-8

Add 8 to both sides

y=4x

Answer:

y=4x

Step-by-step explanation:

You are given 3 points that are on this line. (0,0) which is the origin, (2,8) and (12,48)

Find the slope with (2,8) and (12,48)

Remember the slope formula:

(y2-y1) / (x2 - x1)

So:

(48 - 8) / (12 - 2)

40/10 = 4

And the y- intercept is 0 because the line goes through the origin.

So the equation is:

y=4x

Hope this helps!!

Answer:

1. Payment History

2. Amount of Debt he or she owes

3. Credit Age/History

4. Credit Inquiries

Step-by-step explanation:

Answer:

A on edgen.

Step-by-step explanation:

so the right answer is -1.

Look at the attached picture⤴

Hope it will help u..

Answer:

-1

Step-by-step explanation:

p-3=-4

Answer:

The answer is D What is your overall point, and how do you support it?

Step-by-step explanation:

Answer:

What are the reasons you question the author's professionalism?

Step-by-step explanation:

AP3X

Answer:

Option B

7/64

Step-by-step explanation:

Since the she bought 7/8 of a pound of grapes, the amount of grapes that Timothy's mum will be sharing is only 7/8 of a pound

Total number of kids = 6

To get the amount that each kid will get, we will have to divide 7/8 by 6

Hence we have

[tex]\frac{7}{8} \times \frac{1}{6}= \frac{7}{64}[/tex]

Hence, each child will get 7/64 of a pound of grapes, if the grapes are shared equally.

Answer:

B. 7/64

Step-by-step explanation:

Since Timothy's mom bought 7/8 of a pound of grapes, the amount of grapes that she will split between 8 kids will be:

7/8 ÷ 1/8 = 7/64

Therefore, each kid will get 7/64 of a pound of grapes, if the grapes are splitted equally.

Answer:

[tex]5[/tex]

Step-by-step explanation:

add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

[tex] \frac{6 + 9 + 4 + 1 + 7 + 3}{6} [/tex]

[tex] \frac{30}{6} = 5[/tex]

Answer: I got 2/7

Step-by-step explanation:

The required probability of the sheep being male is 2/7 or 0.286 or 28%.

Given that,
Tabulated data has been given in the image for cow, sheep, horse chicken, and pigs for their male and female frequencies.
Probability for sheep in males to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events. Probability = Favorable Events / Total outcomes

Total number of male S(n) = 14
Number of male sheep E(n) = 4
Probability for sheep in males = E(n) / S(n)
                                                  = 4 /14
                                                  = 2 / 7

Thus, the required probability of the sheep being male is 2/7 or 0.286 or 28%.

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Answer:

x = 1, -5

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Then, you solve for x by using this term to complete the square.

Answer:

(1, -5)

Step-by-step explanation:

x² + 4x - 5 = 0

(x - 1)(x + 5)

x - 1 = 0

x = 1

x + 5 = 0

x = -5

The amount of discount is always subtracted by the original price to find the sale price.

The formula is SP=MP-Discount

for eg: If MP is $5000 and discount given is $ 1000 then we have to find SP by using the formula:SP=MP-Discount

So it results to $4000.

Hope it will help u and make u understand...

Answer:

a) (3a² + 1) - (4 + 2a²) =

3a² + 1 - 4 - 2a² =

a² - 3

b) (5p² - 3) + (2p² - 3p³) =

5p² - 3 + 2p² - 3p³ =

-3p³ + 7p² - 3

c) (5a + 4) - (5a + 3) =

5a + 4 - 5a - 3 = 1

d) (9r³ + 5r² + 11r) + (-2r³ + 9r - 8r²) =

9r³ + 5r² + 11r - 2r³ + 9r - 8r² =

7r³ - 3r² + 20r

Answer:

tkae j ad by f then subtracr the u then add the c then multply k then say u

Step-by-step explanation:

Answer:

Half 43.5

The same 87

Twice as much 174

Step-by-step explanation:

The arc measure is approximately [tex]\(1.518 \pi\)[/tex] times the central angle. So, it's larger. The answer is B.

To find the measure of the arc corresponding to a central angle, you can use the formula:

[tex]\[ \text{Arc measure} = \frac{\text{Central angle}}{360^\circ} \times \text{circumference of the circle} \][/tex]

Since a full circle has a circumference of [tex]\( 2\pi \)[/tex] units, and the central angle is 87 degrees, you can substitute these values into the formula:

[tex]\[ \text{Arc measure} = \frac{87^\circ}{360^\circ} \times 2\pi \][/tex]

[tex]\[ \text{Arc measure} = \frac{87}{360} \times 2\pi \][/tex]

[tex]\[ \text{Arc measure} \approx 0.2417 \times 2\pi \][/tex]

[tex]\[ \text{Arc measure} \approx 1.518 \pi \][/tex]

Now, compare the result to the central angle. Since the arc measure is approximately [tex]\(1.518 \pi\)[/tex], and the central angle is 87 degrees, it's clear that the arc is larger than the central angle. So the correct answer is:

B. Twice as much

Complete Question:

If a central angle measures 87degree, then its arc will measure _____.

A. half as much

B. twice as much

C. the same

Answer:

Step-by-step explanation:

hello :

  Completing The Square   x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6

the vertex is : (2 , -6)

now calculate the solutions : (x-2)²-6 =0

(x-2)²= 6   means :  x-2 =√6   or   x-2 = -√6

x = 2+√6   or x =  2-√6

Answer: 478.68cm

Step-by-step explanation:

Answer: D) A =478.68

Answer:

equation d

Step-by-step explanation:

The equation that best describes the relationship between the number of students and the number of tables is N = 40t. This equation can be obtained by observing the given data points and identifying the pattern. It can be verified by substituting the values of the number of students and tables.

The equation that best describes the relationship between the number of students and the number of tables is N = 40t, where 'N' represents the number of students and 't' represents the number of tables. This equation is obtained by observing the given data points and identifying the pattern. For example, when the number of tables is 18, the number of students is 720, which can be represented as 720 = 40 * 18.

To verify this equation, let's check the other given data points. When the number of tables is 15, the number of students is 600, which can be represented as 600 = 40 * 15. Similarly, when the number of tables is 24, the number of students is 960, which can be represented as 960 = 40 * 24. Therefore, the equation N = 40t best represents the relationship between the number of students and the number of tables.

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Answer:

x=9b/7

Step-by-step explanation:

b(b/7x=9)

(7x=9b)/7

x=9b/7

Step-by-step explanation:

In a square,

we know that when diagonals bisect each other it is divided into two equal parts

so

TR = TP

So

PR = x +11 + x + 11

= 2x + 22

And

Both diagonals are equal so

QS = PR

7x - 3 = 2x + 22

7x - 2x = 22 + 3

5x = 25

x= 25 /5

x = 5

Now

PR = 2 * 5 +22= 10 +22 = 32

Answer:

PR = 34

Step-by-step explanation:

The diagonals of a square bisect each other, and are congruent, thus

QS = PR, that is

7x - 8 = x + 11 + x + 11 = 2x + 22 ( subtract 2x from both sides )

5x - 8 = 22 ( add 8 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Thus

PR = 2x + 22 = 2(6) + 22 = 12 + 22 = 34

Answer:

vbnvbnvbnvnvbnvbnvbnvbn

Step-by-step explanation:

vbnvbnvbnvbnvbn  vbn v

1. 140

2. 3

3. 9

4. 7

5. 0

6. 160

7. 30

8. 70

9. 4

10. 90

The required return for the market can be calculated using the Capital Asset Pricing Model (CAPM), which takes into account the risk-free rate, beta value, and market risk premium.

The required return for the market can be calculated using the Capital Asset Pricing Model (CAPM). The CAPM formula is:

Required Return = Risk-Free Rate + Beta * Market Risk Premium

In this case, the risk-free rate is given as 8%, and the market risk premium is given as 2%. To calculate the required return for the market, we need to know the beta value, which represents the stock's sensitivity to market movements.

Once we have the beta value, we can substitute it into the formula to find the required return for the market.

Final answer:

The required return for the market, when the risk-free rate is 8 percent and the market risk premium is 2 percent, is 10 percent according to the Capital Asset Pricing Model.

Explanation:

The student is inquiring about the concept of the required return of the market, which is a fundamental concept in finance related to the Capital Asset Pricing Model (CAPM). According to CAPM, the required return on a market portfolio (the market) is the sum of the risk-free rate and the market risk premium. In this case, with an 8 percent risk-free rate and a 2 percent market risk premium, the required return for the market would be the sum of these two figures, which equals 10 percent.

Answer:

A

Step-by-step explanation:

hope this helps:))