The table below shows the ticket rates for whale watching trips offered by Orca Magic Tours: Age Ticket Price Under 3 years free 3 to 12 years $32 Over 12 years $44 On a certain day, the company took 82 people on whale watching trips. There were 54 children aged 12 and under, of which some children were under 3 years. If x represents the number of children under three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day? (54 + x)32 + (82 − A: (54 + x)) ⋅ 44 = C

B: (54 − x)32 + (82 − 54) ⋅ 44 = C

C: (82 + x)32 + (82 − (54 + x)) ⋅ 44 = C

D: (82 − x)32 + (82 − 54) ⋅ 44 = C

@Taskmasters @Kamariasutton @Zainabdalrazzaq ShootingStar28

Answers

Answer 1
Answer: Their are 82 people. 54 are 12 and under. The rest are adults ($44 dollars each)

Cost of all people = (12 and under's cost) + (adults cost)

Adults cost = (82 - 54) * 44

Cost of children 3 - 12 = (54 - # of children under 3 or x) * 32


Cost = (54 - x) * 32 + (82 - 54) * 44

The answer is C.

Hope this helps
Answer 2
Answer:

Answer:

C

Step-by-step explanation:


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How do you calculate the circumference of a circle

Answers

2\pi r where 'r' is a radius
You need to use the following equation - 2(pi) r .    r = radius and so put the circle's radius in the equation and multiply! 

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

Answers

Answer:

The best measure of center is median = 37.50.

Step-by-step explanation:

The complete question is:

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.

{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

The best measure of center for this data set is the , and its value expressed up to one decimal place is?

Solution:

The three measures of center are:

  1. Mean
  2. Median
  3. Mode

The mean is the average value of the data set and uses all the values of the data set.

The median is the middle value of the data set.

Mode is the value of the data st with the highest frequency or number of occurrence.

Compute the mean, median and mode of the data set provided as follows:

\text{Mean}=(1)/(n)\sum X=(1)/(14)* [36+18+....+72+29]=40.57

So, the mean is 40.57.

The data set in ascending order is:

{16, 18, 28, 29, 35, 36, 37, 38, 40, 41, 44, 66, 68, 72}

There are 14 values in the data set. That is an even data set.

The median for an even data set is the average of the middle two values.

The middle two values are: 37, 38

Average of {37, 38} = (37+38)/(2)=37.50

So, the median is 37.50.

None of the values are repeating itself. Thus, the data does not have a mode.

For the provided data:

Mean > Median

Implying that the data set is right-skewed.

For a skewed distribution or data set the median is the measure of center.

Thus, the best measure of center is median = 37.50.

Do all squares have four sides

Answers

yes all squares do have four sides
Ye they do since they are part of the quadrilateral family just like rectangles..

Some the system of equationsY=2x^2 - 3
Y=3x - 1

How many real number solutions are there to the equation 0=3x^2 + x - 4?

What are the solutions of the system
Y=x + 5
Y=x^2 - x + 2

Answers

y = 2x² - 3
y = 3x - 1

                             2x² - 3 = 3x - 1
                                  + 1        + 1
                             2x² - 2 = 3x
                      2x² - 3x - 2 = 0
                2x² - 4x + x - 2 = 0
2x(x) - 2x(2) + 1(x) - 1(2) = 0
          2x(x - 2) + 1(x - 2) = 0
                 (2x + 1)(x - 2) = 0
     2x + 1 = 0    or    x - 2 = 0
           - 1 - 1              + 2 + 2
           2x = -1      or      x = 2
            2     2
             x = -0.5

      y = 3x - 1            or           y = 3x - 1
      y = 3(-0.5) - 1        or        y = 3(2) - 1
      y = -1.5 - 1          or          y = 6 - 1
      y = -2.5            or             y = 5
(x, y) = (-0.5, -2.5)    or    (x, y) = (2, 5)
————————————————————————————————
                       3x² + x - 4 = 0
              3x² - 6x + 2x - 4 = 0
3x(x) - 3x(2) + 2(x) - 2(2) = 0
           3x(x - 2) + 2(x - 2) = 0
                  (3x + 2)(x - 2) = 0
      3x + 2 = 0    or    x - 2 = 0
            - 2  - 2             + 2 + 2
            3x = -2      or      x = 2
             3      3
              x = ⁻²/₃
There are two real number solutions in the equation.
————————————————————————————————
y = x + 5
y = x² - x + 2

   x + 5 = x² - x + 2
+ x             + x
 2x + 5 = x² + 2
       - 2         - 2
 2x + 3 = x²
         0 = x² - 2x - 3
         0 = x² - 3x + x - 3
         0 = x(x) - x(3) + 1(x) - 1(3)
         0 = x(x - 3) + 1(x - 3)
         0 = (x + 1)(x - 3)
         0 = x + 1    or    0 = x - 3
       - 1       - 1         + 3      + 3
        -1 = x       or       x = 3

      y = x + 5        or        y = x + 5
      y = -1 + 5        or       y = 3 + 5
      y = 4           or           y = 8
(x, y) = (-1, 4)    or    (x, y) = (3, 8)

DVDs are on sale for $24 each Felipe write an expression to 4×24 to find the cost of buying the four DVDs how can you rewrite fully basic spreadsheet using the distributing properties

Answers

Answer:

The cost of buying the four DVDs is $96.

Step-by-step explanation:

Given  that,

Price of DVD's = $24 each

The expression is

4*24

We need to calculate the cost of buying the four DVDs

Using given data

Price of one DVD= $24

So, price\ of\ 4\ DVDs= 24*4

price\ of\ 4\ DVDs=$96

Hence, The cost of buying the four DVDs is $96.

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enough to describe the position of an object on a flat surface

Answers

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

Final answer:

Position of an object on a flat surface can be adequately described using measurements in the vertical and horizontal directions from a certain reference point. This concept is inherent in the use of vector quantities in physics which allow us to describe motion in two perpendicular directions.

Explanation:

To describe the position of an object on a flat surface, we can use two measures: the vertical and horizontal displacement from a certain reference point. This reference point is often called the origin in a Cartesian coordinate system, which is a type of frame of reference.

Let's imagine you're looking at a map. If we want to specify a location on that map, we can describe it in terms of its distance east (or west) and north (or south) from a particular point. This technique uses horizontal and vertical measurements to describe the position.

This concept is inherent in the idea of vector quantities. In two dimensions, a vector describes motion in two perpendicular directions, such as vertical and horizontal. The principle that motions along perpendicular axes are independent allows us to analyze these two directions separately. Each vector in this context has vertical and horizontal components, and the length of the vector (representing the object's total displacement) is calculated based on these two components.

Learn more about Position Measurement here:

brainly.com/question/825685

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