An amusement park charges an admission fee of 40 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following.
C=40 p
What is the cost of admission for a group of 4 people?
_____dollars

Given

Find

Factorize the expression

Explanation

now , we use the identity :

so ,

Final Answer

Hence , the required factor is

Answer:

t = 6

Step-by-step explanation:

First, add 13.6 (inverse operation)

18 = 3t (divide by 3)

6 = t

sub in to check

Answer:

t=6

Step-by-step explanation:

4.4=-13.6+3t [add -13.6 to both sides]

18=3t [divide 3 from 18]

t=6

Answer:

try to find the c's in the o's how many are there?

Step-by-step explanation:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

A company did a study on the physical activity level and weight gain of its employees. Age was not considered, so it might be an example of a confounding variable.

A confounding variable is an unmeasured third variable that influences, or confounds, the relationship between an independent and a dependent variable. For example, in a study looking at the relationship between smoking and lung cancer, age may be a confounding variable because people who smoke tend to be older than those who do not.

This would mean that age is influencing both smoking and the risk of lung cancer, so the true effect of smoking on the risk of lung cancer cannot be determined without taking age into account. The presence of a confounding variable can distort the results of an experiment and lead to inaccurate conclusions.

Learn more about confounding variable:

https://brainly.com/question/10863424

#SPJ4

The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

Learn more about x-intercept click;

https://brainly.com/question/14180189

#SPJ1

Answer:

12

Step-by-step explanation:

To have an even integer the number's endian has to be an even number. Consider the 2-digit positive number like _ _ and place the number of possible options out of four total options in each blank space. We have 3 even options, so we can fill the endian blank like this _ 3

Since the first digit can be any number, therefor, we have 4 options for the first blank space 4 3. Just multiply the two numbers and you have the answer.

22, 24, 28, 42, 44, 48, 52, 54, 58, 82, 84, 88

Answer: k=7

Step-by-step explanation:

i just did the assiment

Answer:

23/6

Step-by-step explanation:

Given fractions

4 3/5 to 1 1/5

Write 4 3/5 as improper fraction= 23/5

Write 1 1/5 as improper fraction= 6/5

Then find the ratio

23/5 : 6/5

Ratio is finding division of two terms

(23/5) / (6/5)

= 23/5 × 5/6

5 at the denominator cancel out 5 at numerator then we have

= 23/6

Hence, fraction in lowest terms here is

23/6

Answer:

y=3

Step-by-step explanation:

x=-3y+3

(-3y+3)-3y=-15

-6y=-18

y=3

Answer:

Step-by-step explanation:

Seven  more than 9 is my denominator:

\(7+9=16\)

One less than my denominator is my numerator :

\(16-1=15\)

What fraction am I :

\(\frac{15}{16}\)

Answer:

\( \frac{15}{16} \)

Step-by-step explanation:

Sorry if wrong :( .

Follow me? FollowBack ^^ .

9514 1404 393

Answer:

  0, 1, 2, 3

Step-by-step explanation:

The set of absolute values of integers is the set of non-negative integers. The four smallest values of the set are ...

  0, 1, 2, 3

Answer: -0.455F

Step-by-step explanation:

The mean temperature of the freezer over the four days will be gotten by adding the total temperature and then dividing by 4. This will be:

= (-2.36 + 1.68F + -1.81F + 0.67F) / 4

= -1.82F/4

= -0.455F

The mean temperature is -0.455F

Check the picture below.

Answer:

143

Step-by-step explanation:

Let's call the number we're trying to find "x".

According to the problem, we know that:

5/13 of x = 55

To solve for x, we can start by multiplying both sides by the reciprocal of 5/13, which is 13/5:

(13/5) * (5/13) * x = (13/5) * 55

Simplifying, we get:

x = 143

Therefore, the number we're looking for is 143.

A triangle will be produced from the intersection of the vertical plane and pyramid. The correct options are triangles and trapezoid.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

Given that a vertical plane passes through a pyramid that has a horizontal base. Therefore, when the vertical plane and the pyramid meets or intersect the two dimensional figure that will be produced when the two intersect is triangle. It can also be trapezoid if the vertical plane does not intersect exactly in mid of the pyramid.

Hence, a triangle or a trapezoid will be produced from the intersection of the vertical plane and pyramid.

Learn more about Triangle here:

https://brainly.com/question/2773823

#SPJ1

Answer: x= 108°, y=36°, and z= 30°

Step-by-step explanation: 72 and 3y make a supplementary angle which is equal to 180°.

(3z+18) and x are corresponding angles so they're equal to each other.

Answer:

$4,000

Step-by-step explanation:

.15x = $600

.15x = $600.  divide both sides by .15

.15.       .15

x = $4,000

Answer:

24 millimeters  B) Area of one side= 4*4

=16

Total number of faces= 6

Then total area= area of one side* number of sides

=16*6

=96 square cm

Step-by-step explanation:

Answer:

Domain:(∞,-∞)

Step-by-step explanation:

Well, I think this is correct because (-3,3) defines the limit. The parabola shows that there are infinite ranges of values within it. It is pretty much straightforward. All values must fit in from (-3,∞) to (-∞,3)
let me know if im wrong im just refreshing my thinking process at this moment.

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

for more such question on integers visit

https://brainly.com/question/929808

#SPJ8

Answer:

\(\boxed{\mathrm \quad {4177.4 \: cm^3}\quad }\)

Step-by-step explanation:

Volume of a right circular cone with radius r and height  =is  given by the formula

\(V = \dfrac{1}{3} \pi r^2 h\\\\\text {We are given}\\\\r = 16.2 \;cm\\h = 15.2\;cm\\\\V = \dfrac{1}{3} \times \pi \times (16.2)^2 \times 15.2\\\\= \dfrac{1}{3} \times \pi \times 262.44 \times 15.2\\\\= 1329.696 \pi cm^3\\\\= 4177.36318 \;cm^3\\\\= 4177.4 \;cm^3 \text{ when rounded to the nearest tenth}\)

Answer:

6

Step-by-step explanation:

Answer:

Answer is 131 square ft

Step-by-step explanation:

You need to split the shape into two

12 times 8 equals 96

7 times 5 equals 35

Add together and get answer of 131

Hope I could help! Have a great day!

Answer:

C) =

Step-by-step explanation:

-10/4 simplifies to -2.5 which is also equal to -2.50.

The value of the equation f(x) = 2.5x - 10.5 and g(x) = 64(0.5x) are calculated as x = 2: f(x) = 2.5(2) - 10.5 = -5.5 and g(x) = 64(0.5(2)) = 64.

The substitution method is a quick and easy way to identify the variables' solutions to a set of linear equations. It entails, as the name implies, determining the value of the x-variable in terms of the y-variable from the first equation, and then substituting or replacing the value of the x-variable in the second equation. So, we may solve the equation and determine the value of the y-variable. Finally, we can use any of the above equations with the value of y to determine x. It is also possible to solve for x first, then for y, in the opposite order.

The given equation are f(x) = 2.5x - 10.5 and g(x) = 64(0.5x).

Substituting the value of x we have the value in the table as follows:

x = 2:

f(x) = 2.5(2) - 10.5 and g(x) = 64(0.5(2))

f(x) = -5.5                     g(x) = 64

For x = 3:

f(x) = 2.5(3) - 10.5 and g(x) = 64(0.5(3))

f(x) = -3                         g(x) = 96

For x = 4:

f(x) = 2.5(4) - 10.5 and g(x) = 64(0.5(4))

f(x) = -0.5                     g(x) = 128

For x = 5:

f(x) = 2.5(5) - 10.5 and g(x) = 64(0.5(5))

f(x) = 2                          g(x) = 160

For x = 6:

f(x) = 2.5(6) - 10.5 and g(x) = 64(0.5(6))

f(x) = 4.5                       g(x) = 192

Hence, the value of the equation f(x) = 2.5x - 10.5 and g(x) = 64(0.5x) are calculated as x = 2: f(x) = 2.5(2) - 10.5 = -5.5 and g(x) = 64(0.5(2)) = 64.

Learn more about substitution method here:

https://brainly.com/question/14619835

#SPJ1

Answer:

The solutions to the quadratic equation using the quadratic formula will be:

\(x=\frac{1}{2},\:x=\frac{1}{4}\)

Step-by-step explanation:

Given the equation

\(8x^2-6x+1=0\)

solving with the quadratic formula

\(\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\)

\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)

\(\mathrm{For\:}\quad a=8,\:b=-6,\:c=1\)

\(x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}}{2\cdot \:8}\)

as

\(\sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}=2\)

so

\(x_{1,\:2}=\frac{-\left(-6\right)\pm \:2}{2\cdot \:8}\)

Separating the solution

\(x_1=\frac{-\left(-6\right)+2}{2\cdot \:8},\:x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}\)

solving

\(x_1=\frac{-\left(-6\right)+2}{2\cdot \:\:8}\)

    \(=\frac{6+2}{2\cdot \:8}\)

   \(=\frac{8}{16}\)

   \(=\frac{1}{2}\)

and

\(x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}\)

   \(=\frac{6-2}{2\cdot \:\:\:8}\)

    \(=\frac{4}{16}\)

    \(=\frac{1}{4}\)

Therefore, the solutions to the quadratic equation using the quadratic formula will be:

\(x=\frac{1}{2},\:x=\frac{1}{4}\)

Answer:

1/4 1/2

Step-by-step explanation:

Answer:

11 buses

Step-by-step explanation: