A total of 4500 tickets to a concert were sold and the price for each ticket was either $59 or $85. If the
amount collected was $291, 500, how many tickets were sold at each price?
O (35, 10)
O (3500, 1000)
O (1000, 2200)
O (3000, 1500)

Answer:

A. x > 20

Step-by-step explanation:

I got right

The time it would take Colleen alone to clear the yard of leaves is 40 minutes (option d). So the answer is d. 40 minutes

Let's set up the equation based on the given information:

1/24 is the rate at which Sean and Colleen work together (clearing the yard in 24 minutes).

Let's denote the time it takes Colleen to clear the yard alone as c minutes. According to the given information, it would take Sean 20 minutes longer than Colleen to clear the yard alone, so Sean's time is (c + 20) minutes.

To set up the equation, we can combine their individual rates of work:

1/c is Colleen's rate of work (clearing the yard in c minutes).

1/(c + 20) is Sean's rate of work (clearing the yard in c + 20 minutes).

Given that their combined rate is 1/24, we can set up the equation:

1/c + 1/(c + 20) = 1/24

To solve this equation and find the value of c, we can multiply both sides by the common denominator of 24c(c + 20):

24(c + 20) + 24c = c(c + 20)

Simplifying and rearranging the equation:

24c + 480 + 24c = c^2 + 20c

48c + 480 = c^2 + 20c

Rearranging the terms and setting the equation equal to zero:

c^2 - 28c - 480 = 0

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. By factoring, we find:

(c - 40)(c + 12) = 0

This gives two possible values for c: c = 40 or c = -12.

Since time cannot be negative, we discard the solution c = -12.

Therefore, the time it would take Colleen alone to clear the yard of leaves is 40 minutes (option d).So the answer is d. 40 minutes.

To learn more about  equation click here:

brainly.com/question/22849621

#SPJ11

Answer:

I dont really know  l

Step-by-step explanation:

I just want a free answer lol

6+4=10

:)

ur welcome incase u did not know the problem

Answer:

12

Step-by-step explanation:

the absolute value of any negative number is the number in positive form.

Answer:

Hello!

The value would 12 cause it is the absolute value

For example:

If the is negative 12 the absolute value would be the opposite, so it would be positive 12.

But if it was

|12| then it would stay the same

Hope this helps!

-Fishylikeswater

Answer:

Reflection over the y-axis.

Step-by-step explanation:

All the x values will change sign so its over the yaxis

Answer:

a. The graph will be reflected over the y-axis

Step-by-step explanation:

When a function is reflected over the y-axis, the x-coordinates are divded by -1, and then the new points will become reflections of the y-axis. Because x was changed to -x in this problem, we know that the graph was relfected across the y-axis.

hope this helps :)

The hοuse's valuatiοn decreased by $27,680 and the current value οf the hοuse is $318,320..

Current value, an accοunting methοd in which assets are priced accοrding tο their replacement value rather than their οriginal cοsts. Current yield, an estimate οf the annual incοme οf an investment that is based οn dividing the tοtal incοme by the current price.

The current value οf the hοuse is $318,320.

Tο calculate hοw much the hοuse's valuatiοn decreased in dοllars, we need tο find 8% οf its οriginal value:

8% οf $346,000 = 0.08 x $346,000 = $27,680

Therefοre, the hοuse's valuatiοn decreased by $27,680.

Tο find the current value οf the hοuse, we need tο subtract the decrease frοm the οriginal value:

Current value = Original value - Decrease

Current value = $346,000 - $27,680

Current value = $318,320

Therefοre, the current value οf the hοuse is $318,320.

Learn more about value

https://brainly.com/question/30145972

#SPJ1

The values of x in each equation are;

1) 128

2) 1500

Forming an equation involves expressing a mathematical relationship or statement using mathematical symbols and symbols of equality. The goal is to represent a real-life situation, a mathematical problem, or a hypothesis in a clear and concise way that can be easily analyzed and solved.

We have that;

1) let the number be x

85/100 * x = 108.8

x = 108.8 * 100/85

= 128

2) Let the number of the kettle corn be x;

6/10 * 2500 = x

x = 1500

Learn more about equation:https://brainly.com/question/29657983

#SPJ1

The incorrect statements are:
A. A diagonal matrix is a square matrix whose diagonal entries are zero.

C. To multiply a matrix by a scalar, we multiply each column of the matrix by the scalar.
F. The operation of matrix addition is not commutative.

A diagonal matrix is a square matrix where the non-diagonal entries are zero, but the diagonal entries can be any value, including non-zero values. Therefore, statement A is incorrect.

To multiply a matrix by a scalar, we multiply each element of the matrix by the scalar, not each column. So, statement C is incorrect.

Matrix addition is commutative, which means the order of adding matrices does not affect the result. In other words, A + B is equal to B + A. Therefore, statement F is incorrect.

The other statements are correct:
B. The sum of two matrices A and B, denoted A+B, is a matrix whose entries are the sums of the corresponding entries of the matrices A and B. This statement correctly describes matrix addition.
D. The operation of matrix addition, A+B, is defined when the matrices A and B have the same size. For matrix addition, it is required that the matrices have the same dimensions.
E. Two matrices are equal if and only if they have the same size. This statement is correct since matrices need to have the same dimensions for their corresponding entries to be equal.

Statements A, C, and F are not correct, while statements B, D, and E are correct.

Learn more about matrix here: brainly.com/question/29132693

#SPJ11

Answer:

Step-by-step explanation: y axis is 6units up (y=+6)

X axis is 2units to the right. (×=+2)

Among the labor rooms, combination labor and delivery rooms, and delivery rooms, the labor rooms had the highest utilization rate of 11.67% during the busy three-day period at Dahlia Medical Center.



To determine the facility with the highest utilization rate, we need to calculate the total time spent in each facility. For the labor rooms, we know that the average time spent is about a day, so the total time spent in labor rooms would be 35 (number of rooms) multiplied by 24 (hours) for each day. This gives us 840 labor room-hours.

For the combination labor and delivery rooms, the average time spent is about 24 hours. So the total time spent in these rooms would be 17 (number of rooms) multiplied by 24 (hours), resulting in 408 room-hours.For the delivery rooms, the average time spent is about one hour. Therefore, the total time spent in these rooms would be 5 (number of rooms) multiplied by 1 (hour), giving us 5 room-hours.Now we can calculate the utilization rates by dividing the total time spent in each facility by the total time available during the three-day period. The total time available is 3 (days) multiplied by 24 (hours per day), which is 72 hours.

The utilization rate for labor rooms is 840 / 72 = 11.67%.The utilization rate for combination labor and delivery rooms is 408 / 72 = 5.67%.The utilization rate for delivery rooms is 5 / 72 = 0.07%.Therefore, the labor rooms had the highest utilization rate at 11.67%.

To learn more about average click here

brainly.com/question/31796355

#SPJ11

Answer:

Let x be the numerator.

x/x+7 is the original value.

x+3/x+7-1 = 4/5

x+3/x+6 = 4/5

5x+15 = 4x+24

x = 9

9/9+7

=9/16 is the answer.

Answer:

\(y=0x+2\)

Step-by-step explanation:

Given the following question:

Point A = (3, 2) = (x1, y1)
Point B = (-6, 2) = (x2, y2)

To write the following points in slope intercept form we first need to calculate the slope by using the formula for slope or rise over run.

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{2-2}{-6-3} =\frac{0}{-9}\)
\(0\div-9=0\)
\(m=0\)

Now that we have to slope, we can now write the points in slope intercept form by using the formula y = mx + b and solve for b.

\(y=mx+b\)
\(y=2\)
\(m=0\)
\(x=3\)
\(2=0(3)+b\)
\(0\times3=0\)
\(2=0+b\)
\(2+0=2\)
\(2=b\)
\(b=2\)
\(y=0x+2\)

Your answer in slope intercept form is "y = 0x + 2."

Hope this helps.

Solution

Question 1:

Question 2:

Final Answer

Question 1:

The exponential function to model the scenario is

Question 2:

The number of rabbits that will hop out of the hat on the 13th Day is 12,288 rabbits

The number of questions on the CUNY Math Assessment Test can vary depending on the specific version of the test administered. However, typically, the CUNY Math Assessment Test consists of multiple-choice questions covering a range of math topics such as algebra, geometry, and trigonometry.

While the exact number of questions can vary, it is common for the CUNY Math Assessment Test to have around 40 to 50 questions. These questions are designed to assess your mathematical knowledge and skills in order to determine your readiness for college-level math courses.

The test is typically timed, and you will have a set amount of time to complete all the questions. It is important to manage your time effectively and pace yourself throughout the test to ensure you have enough time to answer each question.

In order to prepare for the CUNY Math Assessment Test, it is recommended to review and practice a variety of math topics, including algebraic equations, functions, graphs, geometry, and basic trigonometry concepts. Familiarizing yourself with these topics and practicing similar questions can help you become more comfortable with the content and format of the test.

Remember, it's always a good idea to consult official CUNY resources or speak with an academic advisor to get the most up-to-date and accurate information regarding the specific version of the CUNY Math Assessment Test you will be taking.

Overall, the number of questions on the CUNY Math Assessment Test can vary, but typically it consists of around 40 to 50 multiple-choice questions covering various math topics.

know more about Math Assessment Test here:

https://brainly.com/question/14985897

#SPJ11

The approximate area of the trapezoid is determined as  13.95 unit².

The approximate area of the trapezoid is calculated as follows;

Area = ¹/₂(b₁ + b₂)h

Where;

The y-coordinates of the points on the curve at x=3/2 and x=4 is calculated as follows;

y(3/2) = - (3/2)²/2 + 3/2 + 5

y(3/2) = -9/8 + 3/2 + 5

y(3/2) = 5.375

y(4) = -4²/2 + 4 + 5

y(4) = -8 + 9

y(4) = 1

h = 5.375 - 1 = 4.375

The approximate area of the trapezoid is calculated as;

Area = ¹/₂(5.375 + 1) x 4.375

Area = 13.95 unit²

Learn more about approximate area of trapezoid here: https://brainly.com/question/22357828

#SPJ1

If the confidence level were increased to 99%, the width of the confidence interval increases, when decreased to 80%, the width of the confidence interval decreases.

A confidence interval provides a range of estimated values for a population parameter's real value. A confidence level is connected to confidence intervals. The width of the confidence interval grows as the confidence level increases. The width of the confidence interval reduces as the confidence level goes down.

Since the margin of error grows as the confidence level does as well, the confidence interval will be bigger. Hence it increases for 99% and decreases for 80%.

To learn more about confidence interval refer here

https://brainly.com/question/24131141#

#SPJ4

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

Visit here to learn more about probability:

brainly.com/question/13604758

#SPJ11

Answer:

\(f(x) = - 8 \\ \\ - 7x - 1 = - 8 \\ \\ - 7x = - 8 + 1 \\ \\ - 7x = - 7 \\ \\ 7x = 7 \\ \\ x = \frac{7}{7} \\ \\ x = 1\)

The ratio of c:d:e is 1:3:2.

To find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.

A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.

You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.

It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.

Learn more on calculations for ratio here https://brainly.com/question/2328454

#SPJ1

Answer: Yes, No, No, Yes

Step-by-step explanation:

Goal: Substitute all the ordered pairs into the equation.

1) (1,-3)

5(1) + 2(-3) = -1

5 + -6 = -1

-1 = -1

Yes

2) (2,8)

5(2) + 2(8) = -1

10 + 16 = -1

25 = -1

No

3) (-4, -6)

5(-4) + 2(-6) = -1

-20 + -12 = -1

-32 = -1

No

4) (-3, 7)

5(-3) + 2(7) = -1

-15 + 14 = -1

-1 = -1

Yes

Answer:

The angle at the centre is twice the angle at the circumference.

The angle in a semicircle is a right angle.

Angles in the same segment are equal.

Opposite angles in a cyclic quadrilateral sum to 180°

Answer:

\( \boxed{ \tt{x = \frac{45}{5} = 9}}\)

We are given that the length of a rectangle is 3 inches greater than the width.

Let us draw a rectangle and label the width and length.

Part A:

Let the width of the rectangle is x inches.

Then the length of the rectangle is (x + 3) inches.

Now recall that the area of a rectangle is given by

Where L is the length and W is the width of the rectangle.

Therefore, the above polynomial represents the area of the rectangle.

Part B:

We are given that the width is 4 inches.

Substitute the width (x = 4) into the equation of the area that we found in part A.

Therefore, the area of the rectangle is 28 square inches.

Answer:

FALSE is the answer for your question

The surface area of the triangular pyramid shown is 94.6 in²

An equation is an expression that shows the relationship between two or more variables and numbers.

The surface area of the regular pyramid is given as:

Surface area = 3(0.5 * 4.3 * 13) + (0.5 * 4.3 * 5) = 94.6 in²

The surface area of the triangular pyramid shown is 94.6 in²

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

The required details for system of equations in given paragraph

To find the number of adult tickets sold and the number of student tickets sold, you can set up the following system of equations:

This can be represented by the following system of equations:

           5x + 2y = 4726

           x + y = 225

Hence, The system of equations would be x + y = 225.

To know more about system of equations visit,

https://brainly.com/question/25976025

#SPJ1

==========================================

Work Shown:

The given angles are a linear pair, so they are supplementary.

(1+5x)+(3+3x) = 180

1+5x+3+3x = 180

(5x+3x)+(1+3) = 180

8x+4 = 180

8x+4-4 = 180-4 .... subtract 4 from both sides

8x = 176

8x/8 = 176/8 ..... divide both sides by 8

x = 22

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

Extra info:

1+5x = 1+5*22 = 1+110 = 111

3+3x = 3+3*22 = 3+66 = 69

111+69 = 180, which helps confirm the answer.

Step-by-step explanation:

Hope it helps man ......

Answer:

1.6

Step-by-step explanation: