A local water park has two types of season passes. Plan A costs a one-time fee of $144 for admission plus $10 for parking every trip. Plan B costs a one-time fee of $48 for parking plus $22 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Hi there!  

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I believe your answer is:  

[tex]x = \frac{1}{4}[/tex]

»»————-　★　————-««  

Here’s why:

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[tex]\boxed{\text{Solving the equation for x...}}\\\\4x + 54 = 55\\----------\\\rightarrow 4x + 54 - 54 = 55 - 54\\\\\rightarrow 4x = 1\\\\\rightarrow \frac{4x=1}{4}\\\\\rightarrow \boxed{x=\frac{1}{4}}[/tex]

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»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

[tex]answer = 3 {x}^{2} {e}^{ {x}^{3} } [/tex]

Answer:

[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]

Step-by-step explanation:

we would like to figure out the first derivative of the following:

[tex] \displaystyle f(x) = {e}^{x ^{3} } [/tex]

to do so take derivative In both sides:

[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{x ^{3} } [/tex]

to differentiate the above we can consider composite function derivation given by

[tex] \rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dx} f'(g(x)) \times \frac{d}{dx} g'(x)[/tex]

let

g(x)=u

so we obtain:

[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{u} \times \frac{d}{dx} u[/tex]

substitute back:

[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{ {x}^{3} } \times \frac{d}{dx} {x}^{3} [/tex]

by using derivation rule we acquire:

[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]

and we are done!

Answer:

A. -3/5 B. 1/5. C. 0.8.

Step-by-step explanation:

Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.

Answer:

isn't it b i remember doing something almost the same as this

Answer:

24

Step-by-step explanation:

f(4) means you plug the 4 into the equation so 4 x 4= 16

then 3(4)= 12

16+12-4=24

Answer:

(5x2y3+1)(5x2y3−1)

Step-by-step explanation:

In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)

Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).

Answer:

1302 males & 3038 females

Step-by-step explanation:

3x + 7x = 4340

10x = 4340

x = 434

3(434) = 1302 males

7(434) = 3038 females

Answer:

Each shirt costs $18.50

Step-by-step explanation:

Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.

First, read the information carefully and then summarize what you are given in short sentences. Pat bought  6  shirts.  He paid using a check and cash.

The total amount paid was  $ 25  +  $ 86  =  $ 111

The shirts all cost the same price.

The cost of each shirt was:  111  ÷  6  =  $ 18.50

Answer:

Each shirt was 18.50

Step-by-step explanation:

The total cost of the 6 shirts was 25+86 = 111

Divide the total by 6 to find the cost of each shirt

111/6 =18.5

Each shirt was 18.50

'Option A' is the correct answer....

The solution is Option A.

The percentage of the data in the number line is 25 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Let the number line be represented as A

Now , the percentage of the data between 25 and 30 on the number line be P

And , the equation will be

The data on the number line stretches from 30 to 50 with 4 equal parts

So , Since there are 4 equal parts , and each part equals 25 %

And , the percentage of data between 25 and 30 is a part

So ,

The percentage will be 25 %

Hence , the percentage of data is 25 %

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ2

Answer:

Rotate 90' clockwise Centre (-2, -2)

if you mean A onto B

Answer:

D

Step-by-step explanation:

Answer:

The Sun warms our seas, stirs our atmosphere , generates our weather patterns, and gives energy to the growing green plants that provide the food and oxygen for life on Earth.

Answer:

c

Step-by-step explanation:

I don't think I understand this one try graphs n diagram

Answer:

0.167π

Step-by-step explanation:

r = 0.5

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 0.5^{3} = 0.167\pi[/tex]

A. 0

Answer:

Solution given

(x1,y1)=G(3, -2),

(x2,y2)=H(7, -2)

now

slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0

Answer:

0

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

 = ( -2 - -2)/ ( 7-3)

   = (-2+2)/(7-3)

   = 0/4

Answer:

Step-by-step explanation:

You can do this in two steps.

4s * (5s^2 + 10s + 3)                   Remove the brackets

20s^3 + 40s^2 + 12 s

2(5s^2 + 10s + 3)  

10s^2 + 20s + 6

Now add them

20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6

Rearrange them so the like terms are together.

20s^3 + 40s^2 + 10s^2 +12s + 20s + 6

20s^3 + 50s^2 + 32s + 6

Answer:

Y=6000-400x

Step-by-step explanation:

Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.

Answer:

Step-by-step explanation:

Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.

Answer:

Step-by-step explanation:

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The answer is:

999^3 = 997002999

Answer:

-4 equals p=2 and a and R are at point Y downwards.

Answer:

-20

lmk if u need a step-by-step explaination id be glad to help you <3

Answer:

-20

Step-by-step explanation:

-5 ^ 2 is -25

|-1| is the same as 1

so this will be

-25 + 8 - 3

- 20

Answer should be 21

=

189

9

=

21

Answer:x=8/3  ; y=13/3

Step-by-step explanation: to find the intersection point or the solution of the graph, you need to equate these equations  1) y=5x-9   2) x+y=7 =>  y=7-x x                                                                  equating the equations       5x-9=7-x  => 6x=16 => x=8/3  ; y=13/3  

Answer:

To solve this problem you must apply the procedure shown below:

1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.

2. Therefore, you have:

Sinα=opposite/hypotenuse

α=70°

opposite=x

hypotenuse=10

3. When you substitute the values, you obtain:

Sin(70°)=x/10

4. Now, solve for x, as following:

x=(10)(Sin(70°)

x=9.39 feet

Therefore, the answer is: 9.39 feet.

Step-by-step explanation:

Answer:

19.62N

Step-by-step explanation:

Given data

Mass =2kg

Force =10N

The applied force is

F=mg

F=2*9.81

F=19.62N

Hence the applied force is 19.62N