1. A drama club earned $662.50 from a production where 85 adult tickets were sold and 65
student tickets were sold. An adult ticket costs $2.50 more than a student ticket. Which
system of equations can be used to find a, the cost of an adult ticket, and s, the cost of a
student ticket?

Answer:

------------------------

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

Answer:

It is (a)

\(g(x) = ( { \frac{1}{4} x})^{2} \)

Step-by-step explanation:

I hope that is useful for you :)

None of the given options are correct.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.

We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.

One possible equation for g(x) that meets this condition is:

g(x) = a(x - 4)² + 1

where a is some constant that we need to determine.

Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:

g(4) = a(4 - 4)² + 1 = 1

Simplifying this equation, we get:

a = 0

Therefore, the equation for g(x) is:

g(x) = 1

So the correct answer is (none of the above), because none of the given choices matches this result.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ7

Answer:

x=20

Step-by-step explanation:

x/24 = 30/36 simplify

x/24 = 5/6 divide 24 by 6 and multiply it to 5

x = 20

The solution to the equation x/24 = 30/36 is x = 20.

Option A is the correct answer.

We have,

To solve the equation x/24 = 30/36, we can cross-multiply and solve for x.

Cross-multiplying gives us:

36x = 24 * 30

Simplifying further:

36x = 720

Now, we can divide both sides of the equation by 36 to isolate x:

x = 720/36

Simplifying the right side:

x = 20

Therefore,

The solution to the equation x/24 = 30/36 is x = 20.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Answer:

2 2/9

Step-by-step explanation:

6-4=2

1/3 is equal to 3/9

3/9-1/9=2/9

Combine them

2 2/9

Hope it Helps!

The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.

Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:

P(full) = Number of full trains / Total number of trains observed

P(full) = 14 / 20

Simplifying the fraction, we get:

P(full) = 7 / 10

Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

Answer:

\(60%\)%

Step-by-step explanation:

\(17+23=40\)\(, 40\) in total.

\(10+14=24\), 24 students trying out.

24 of 40 as a percent\(=60\)

Answer:

60%

Step-by-step explanation:

According to formula if finding percent, given number(10+14)divide by total number(17+23) multiply 100% which is 24/40*100= 60%

Answer:

8. 24.5

9. 29.6

Step-by-step explanation:

Answer:

8. 24.5

9. 29.6

Step-by-step explanation:

FRACTION. 24.5 as a Fraction in simplest form   24 1/2

29.6 as a fraction is 29 3/5

plz mark brainly

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer:

which class wuestion??

Answer:

1/8, 2/8, 3/8, 4/8, 5/8, 6/8

Step-by-step explanation:

If i have interpreted correct. You want to know a fraction with a denonminator of 8 that is less than 5/6

5/6=0.8333

Multiple Answers

1/8, 2/8, 3/8, 4/8, 5/8, 6/8

Answer:

B. 2

Explanation:

If the point (3, 9) lies on the circle, we can replace the value of x by 3 and the value of y by 9 and solve the initial equation for r, so:

(x - 1)² + (y - 9)² = r²

(3 - 1)² + (9 - 9)² = r²

2² + 0² = r²

2² = r²

2 = r

Therefore, the length of the radius of circle A is 2.

An event that is impossible has a probability of 0.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

The probability of an event that is impossible is 0. This means that there is no chance or likelihood of it occurring.

In probability, 0 represents the complete absence of any possibility of an event happening, while 1 represents a certain or guaranteed event.

All other values between 0 and 1 represent varying levels of uncertainty or likelihood.

Hence, An event that is impossible has a probability of 0.

To learn more about the probability visit,

https://brainly.com/question/251701

#SPJ1

Answer:

It can be written in interval notation as [-5,5)

The percentage of change from 16.5 grams to 24.8 grams is 8.3

The percentage of an item's final value versus its starting value is its percent change. By dividing the difference in data by the starting value, you can get the percent change.

In order to compare an initial value or old value to the outcome of a change in a new value or final value, two different forms of percentage change are used: increase and decrease.

A quantity's percentage change is equal to the ratio of the quantity's change to its starting value multiplied by 100.

In order to calculate a percentage increase, subtract the starting value from the final value of a quantity, divide by the initial value, and then multiply by 100%. This results in the formula:

Percentage Increase = (Final Value - Initial Value) / (Initial Value) x 100%

Therefore, the percentage of change from 16.5 grams to 24.8 grams is 8.3

To learn more about percentage change refer to:

https://brainly.com/question/11712455

#SPJ1

Answer:

$4,515.14

Step-by-step explanation:

First we need to get the amount after 25 years on $400,000 at 5% interest

Using the compound interest formula

A = P(1+r)^n

A = 400,000(1+0.05)^25

A = 400,000(1.05)^25

A = 400,000(3.3864)

A = $1,354,541.98

Since 25years = (25*12)months

25 years = 300months

Amount to be able to pull out each month = $1,354,541.98/300

Amount to be able to pull out each month = $4,515.14

Hence you will be able to pull out $4,515.14 each month

Answer:

\(Length = 10ft\)

\(Width = 15ft\)

Step-by-step explanation:

Given

\(W= Width\\ L = Length\)

\(Area = 150\)

\(W=2*L- 5\)

Required

Determine the dimension

Area is calculated as:

\(Area = L * W\)

So, we have:

\(L * W = 150\)

Substitute: \(W=2*L- 5\)

\(L * (2*L-5) = 150\)

\(L * (2L-5) = 150\)

Open bracket

\(2L^2 - 5L = 150\)

Rewrite as:

\(2L^2 - 5L - 150=0\)

Expand

\(2L^2 -20L + 15L - 150 = 0\)

Factorize:

\(2L(L -10) + 15(L - 10) = 0\)

\((2L + 15) (L - 10) = 0\)

Split

\(2L + 15=0\) or \(L -10 = 0\)

Solve for L

\(2L =-15\) or \(L = 10\)

L cannot be negative

So:

\(L = 10\)

Substitute \(L = 10\) in \(W=2*L- 5\)

\(W = 2 * 10 - 5\)

\(W = 20 - 5\)

\(W = 15\)

Hence:

\(Length = 10ft\)

\(Width = 15ft\)

Answer:

4 1/6

Step-by-step explanation:

If you divide 25 (Miles) by 6 (Days) then you get:  

4.1666666666666666666666666666667‬.

But, when you make it a fraction you get 4 1/6.

Answer:

4 1/6

Step-by-step explanation:

25/6

Hope this helps! Good Luck!

The equivalent of the radical  expression √(100p⁴z⁸) is

10p²z⁴

The given expression √(100p⁴z⁸) is first rewritten in exponents form

Writing in exponents form

= √(100p⁴z⁸)

= (100p⁴z⁸)^1/2

multiplying through

= 100^1/2 * p^(4 * 1/2) * z^(8 * 1/2)

noting that √100 = 100^1/2 = 10

= 10 * p^(2) * z^(4)

= 10p²z⁴

Learn more on exponents here:

https://brainly.com/question/28939682

#SPJ1

Answer:

Step-by-step explanation:

the answer is 4

Answer:

11,990

9% of 5500 is 495

(495+5500) [one year] x 2 [two years] = $11,990

At the end of 2 years, Aldo will owe $11,990.

Hope it helps

Answer:

Enter date and time information at "From:"

Select a month and a day. Enter a year.

The year entered must be a positive number. Not zero (0).

Enter hours and minutes. Select am or pm.

The hours entered must be a positive number between 1 and 12 or zero (0).

The minutes entered must be a positive number between 1 and 59 or zero (0).

Add or Subtract Line

Enter number of days, hours and minutes

Select "add" or "subtract"

If you type "ghblxz", in the year box the computer will print "0"

If you type "1.9e2", the computer will use "190" to calculate the answer.

If you select "February 31", the computer will print "Not a Day"

Click "Click to Calculate" button. The calculated date and time will appear.

NaN = not a number

To clear the entry boxes click "Reset

Answer:

19.6

Step-by-step explanation:

35^2-29^2=384

sqrt 384=19.6

Answer: 5.3125

Step-by-step explanation: To convert a mixed number to a decimal, first you’ll have to drop the 5. Next, convert 5/16 to a decimal by dividing 5.000 by 16, which is 0.3125. Lastly, add 5 and 0.3125 to get a final answer of 5.3125.

Step-by-step explanation:

Given equation is

6x -2y= 32.........i)

Slope of line I) is

\(m1 = \frac{ - x \: coefficient}{y \: coefficient} \\ = \frac{ - 6}{ - 2} \\ = 3\)

Now

As it is said that the lines are parallel so slope, m1 = m2

So the slope of a line parallel to line I) is

= 3

Hope it will help :)❤