An amusement park charges an admission fee of 30 dollars for each person. Let c be the cost (in dollars) of admission for p people. Write an equation relating c to p. Then use this equation to find the cost of admission for 15 people.

Answers

Answer 1
Answer:

c=30p

$450

Step-by-step explanation:

Setting up an equation lets us solve this question quickly. It also lets us create a relationship that can be used to find the cost of admission for any number of people.

Writing the Equation

As stated in the question, c will represent the total cost and p will represent the number of people admitted. Additionally, 30 will be the coefficient because it represents the cost per person. The variable p will take on the coefficient because it is the independent variable. Remember that the independent variable is the one that you can control. On the other hand, c is the dependent variable because it depends on the p variable.

This creates the equation C=30p

Solving the Equation

To solve the equation for 15 people, plug 15 in for p.

C=30(15)

Then, multiply out to solve

C=$450


Related Questions

What area is the shape?

Answers

Answer:

20 Units

Step-by-step explanation:

The question wants us to find the area of the shape.

From looking at the shape, we can easily infer that it is made of 1 square and 1 triangle.

Area of a Square/Rectangle Formula: A = W(L)

Area of a Trangle Formula: A = (1/2)(b)h

A = W(L)+(1/2)(b)h

The base of the traingle can be found by subtracting the longer length (6) from the smaller length (4).

A = 4(4)+(1/2)(2)4

A = 16+(1)4

A = 16+4

A = 20 Units

The time to complete a project varies inversely with the number of employees. If 6 people can complete the project in 4 days, how long will it take 8 people?

Answers

Answer:

3 days

Step-by-step explanation:

I WILL GIVE BRAINLIEST + 25 POINTS PLEASE HELP

Answers

Answer:

25

Step-by-step explanation:

Answer:

50.24 square yards

Step-by-step explanation:

Area of the circle

A = πr²A = 3.14 x (4)²A = 3.14 x 16A = 50.24 square yards

Suppose A and B are independent events. The probability that event A will not occur is 0.1 and the probability that event B will occur is 0.7. Find P(A), P(not B) and P(A and B).

Answers

Answer:

The probability for A  is 1-0.1 is 90%

P(A)=90%

P(NOT B)=30%

P(A AND B)=0.9+0.7/2=1.6/2=80%

p(a and b) may be a little off.

Answers:

P(A) = 0.9P(not B) = 0.3P(A and B) = 0.63

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

Work Shown:

P(A) = 1 - P(not A)

P(A) = 1 - 0.1

P(A) = 0.9

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

P(not B) = 1 - P(B)

P(not B) = 1 -0.7

P(not B) = 0.3

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

P(A and B) = P(A)*P(B) only when A and B are independent

P(A and B) = 0.9*0.7

P(A and B) = 0.63

A cylinder has a diameter of 10 decimeters. What is the length of the curved surface?
78.5 decimeters
31.4 decimeters
62.8 decimeters
15.7 decimeters

Answers

The length of the curved surface is the circumfrence of a circle with radius r = 10/2 = 5 decimeters.

Length of curved surface = 2π x 5 = 10π ≈ 31.4 decimeters.

4. Jorge has a mass of 45 kilograms and
is skateboarding with a velocity of
3 meters/second north. What is Jorge's
momentum? The units for momentum are
kg-m/s north.

Answers

Jorge's momentum given his mass and the velocity while skateboarding is 135kg-m/s north.

What is momentum?

Momentum can be described as the impetus that is gained by an object that is motion. Momentum is velocity multiplied by mass. When put simply, momentum can be described as mass in motion. Thus, when an object is moving, it has momentum.

Momentum velocity x mass

45 x 3 = 135kg-m/s north.

To learn more about momentum, please check: https://brainly.com/question/24030570

HELPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

162

Step-by-step explanation:

to find the surface area of the rectangles do base x height

5 x 10 = 50

there are 3 sides on a triangle so do 50 x 3 = 150

now we need to find the area of the triangles

the formula for the surface area would be base x height ÷ 2

3 x 4 = 12

12 ÷ 2 is 6

because there are 2 triangles you would need to multiply it by 2

6 x 2 is 12

add it all together

12 + 150 is 162

In the past year, Ann watched 14 movies that she thought were very good. She watched 50 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?

Answers

Answer:

28%

Step-by-step explanation:

Divide 14 by 50. 50 is the total and 14 is the amount she thought was good so it would be 14/50 and then divide it and you get .28 which is 28%

in addition to the diagram, which statement is necessary to prove that the two triangles are congruent by the SAS criterion?
A . AC=DE
B. m C.BC=EF
D. m

Answers

Answer:

BC = FE

Step-by-step explanation:

given ,

BA = FD and the measure of angle ABC = the measure of angle DFE

If we have BC = FE then according to the SAS criterion the two triangles are congruent

Find b given to that a= 20 angle a= 30 degrees and angle b = 45 degrees in triangle abc

Answers

Answer:

Step-by-step explanation:

helppppppp!!!!!!!!!!!!!!

Answers

Answer:

20 oz

Step-by-step explanation:

12 + 20 = 32

32 to 20 is equal to 8 to 5

If you deposit $300 in an account and it grows by 6% each year, how much money will be in your account after 1 year?

Answers

Answer:

318

Step-by-step explanation:

300 + (300 * 6%) = Answer

300 + (300 * 0.06) = 318

Of 11 possible books you plan to take 4 with you on vacation how many different collections of 6 books can you take

Answers

The number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.

What is combination?

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

Here, in the original problem, the number of book selection is6.

Of 11 possible books, one plans to take 6 with on vacation. The number of different collections of 6 books can be taken has to be found out.

The total number of books=11.The total number of selection of book=6.

Thus, the number of combination to select 6 books collection from 11 is,

[tex]^{11}C_6=\dfrac{11!}{(11-6)!6!}\\^{11}C_6=\dfrac{11\times10\times9\times8\times7\times6!}{5\times4\times3\times2\times1\times6!}\\^{11}C_6=462[/tex]

Thus, the number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.

Learn more about the combination here;

https://brainly.com/question/17139330

#SPJ1

please answer fast and you get points

Answers

Answer:

[tex]\frac{3}{6}=\frac{3*4}{6*4}=\frac{12}{24}[/tex]

Step-by-step explanation:

How may twenty-fourths equal 3/6

Well, we know that 6 * 4 = 24

So, we will be multipying the numerator and denominator with 4/4:

[tex]\frac{3}{6}=\frac{3*4}{6*4}=\frac{12}{24}[/tex]

Therefore, twelve twenty-fourths (12/24) is equivalent to three-sixths (3/6)

Hope this helps!

Cual es la formula para calcular la masa de los atomos de carbono y nitrogeno?


POR FAVOR Y DOY CORONA Y CORAZON

Answers

Answer:

La masa atómica del carbono (C) es 12 g/mol; para el oxígeno (O) es de 16 g/mol. Esto significa que 6.022 x 1023 átomos de carbono pesan 12 gramos. Según esto, el peso molecular del CO2 es: 12 g/mol [C] + 2 x 16 g/mol [O2] = 44 g/mol.

1 molécula de Nitrógeno por su masa atómica de 14.01 más 3 moléculas de Hidrógeno por su masa atómica de 1.008 = (1 * 14.01) + (3 * 1.008) = 14.01 + 3.024 = 43.038 u = 17.03 masa molecular = 17.03 g/mol de masa molar en el amoníaco.

which statement is true? A. parallel lines to form four right angles B. parallel lines will always be the same distance apart C. parallel lines intersect at no more than one point pls answer :) it would help me alot

Answers

Answer: C.

Step-by-step explanation:Parallel lines never touch so they cant be intersecting.

A central angle has its vertex on the ___________ and is _________ its intercepted arc.

Answers

Answer:

first blank:center

second blank: equal to

Step-by-step explanation:

A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image

an athletic director pays $90 for 12 visors, how much will the athletic director pay to buy 15 visors?

Answers

Answer:

sample What is the length of a rectangle if the width is

10 centimeters and the diagonal is 16 centimeters?

Step-by-step explanation:

90 divided by 12 is 7.5

7.5 x 15 is 112.50

The athletic director will pay $112.50 for 15 visors. Hope this helps and please mark brainliest!

A taxi company charges a flat fee of $3.50 per ride plus an additional $0.65 per mile. If Ian has only $10, what is the farthest he can ride?

Answers

Answer:

10 miles

Step-by-step explanation:
Before he goes anywhere there is a fee of $3.50. $10 - $3.50 = $6.50. If you divide $6.50 by $0.65 you can find how many miles he can ride. $6.50 divided by $0.65 = 10. That means Ian can ride the taxi for 10 miles.

a plane traveled 1hr and 20 min why coming back it use 80 min why?

this is a challenge guys let's do it

Answers

Answer:

one hour have 60 minutes and the plane took one hour and 20 minutes so total it used 80 minutes

Which expression is equivalent to the expression shown below?

-9.25(2n-3) - 8n

A. -18.5n + 19.75

B. 55.5n+ 27.75

C. 26.5n + 19.75

D. 27.75 -26.5n

Answers

Answer:

option D

Step-by-step explanation:

Distribute (-9.25) to 2n and (-3). When we multiply (-9.25) and 2n, we get -18.5n and when we multiply (-9.25) and (-3) we get 27.75.

-9.25(2n - 3) - 8n = -9.25*2n - (-9.25) *3 - 8n

                            = -18.50n +  27.75 -8n

                            = -18.5n - 8n + 27.75

Combine like terms. Here (-18.5n) and (-8n) are like terms

                            = -26.5n + 27.75

The elevation of Death Valley is -86 meters. Which equation shows how many meters below sea level Death Valley is located? Group of answer choices |-86| = 86 |-86| = - 86 |86| = -86 |86| = 86

Answers

Answer:

|-86| = 86

The absolute value of -86 is 86!

Tip : The absolute value is always positive.

Answer:

|-86| = 86

Step-by-step explanation:

18. Use the quadratic formula to solve 4x2-3x - 1 = 0.
O {-1,1}
O {1,1}
O {-1,-1}
O {-1}

Answers

Answer:

using quadratic formula check the attachment

Simplify the expression. Write the answer using scientific notation.

A)2.52 × 10–3
B)2.52 × 10–2
C)2.52 × 10–1
D)4.3 × 10–2

Answers

Answer:

B.

[tex]2.52 \times 10 ^{ - 2} [/tex]

I really need help with this
I will check to see if it right before giving points thank you.

Answers

Step-by-step explanation:

For the question question, since they are giving you the function you just need to find the input that matches the expected output (y) which will be the number of miles biked. So what numbers multiplied by 12 give you 12, 36, and 48?

You could substitute y into an algebraic function to find these values.

We'll use 36 miles as an example.

If 12x = y then

12x = 36

divide both sides by 12

x = 3

For the second question you are given the x value (number of guests) and just need to calculate y (cupcakes each guest is allowed) by dividing 30 by  the number of guests (x).

Find the area of the polygon

Answers

Answer:

810 m

Step-by-step explanation:

Split the polygon into two parts

(Small and Big rectangle)

SR : 18(18+3) = 378

BR : 18(3+3+18) = 432

378+432 = 810

Hope this helps :)

Mr. Alden Richards is planning to build a gazeboo whose base is a regular octadecagon. At what angle should he cut the lumber to frame the base.

Answers

A regular octagon consists of 8 interior and 8 exterior angles of which the respective sides and angles are equal. The exterior angles total 360 deg. So 360/8 = 45 and if you are cutting wood to form a 45 deg angle each cut must be 1/2 or 22.5 degrees. This will be added or subtracted from each side of the stock. Your table saw normally is set at 90 degrees, or perpendicular to the top. Subtract the 22.5 degrees from 90, and you get 67.5 degrees.
Answer: Set your blade tilt to 67.5 degrees.

Brainlisted for the correct answer! Need help due today!

Answers

Answer:

a. 21.95 or abt 22

b. Length of the ladder

Step-by-step explanation:

pythagorean theorem - a^2 + b^2 = c^2

[c is slope/hypoteneuse] [a and b are sides]

11^2 + 19^2 = c^2

121 + 361 = c^2

482 = c^2

sqrt(482) = c

c = 21.954 or abt 22

2x+2=4 solve for x please help me solve this problem

Answers

Answer:

x = 1

Step-by-step explanation:

First subtract 2 on both sides.

2x + 2 -2  = 4 - 2

2x = 2

Divide by 2 on both sides

2x/2 = 2/2

x = 1

Answer:

x=1

Step-by-step explanation:

cause it do 2 multiplied by 1 is 2 plus 2 is 4

Use the graph of the rational function to complete the following statement.

Answers

Using the graph of the function, it is found that the lateral limits of the function are as follows:

As [tex]x \rightarrow 1^{+}[/tex], [tex]f(x) \rightarrow -\infty[/tex].As [tex]x \rightarrow 1^{-}[/tex], [tex]f(x) \rightarrow \infty[/tex].

What are the lateral limits of the function at x = 1?

For [tex]x \rightarrow 1^{+}[/tex], we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence [tex]f(x) \rightarrow -\infty[/tex].

For [tex]x \rightarrow 1^{-}[/tex], we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence [tex]f(x) \rightarrow \infty[/tex].

More can be learned about lateral limits at https://brainly.com/question/26270080

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