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?

Answers

Answer 1
Please mark Brainliest!

Plan A = 10x + 144
Plan B = 48 + 22y
Equate them
10x + 144 = 22y + 48
22y - 10x = 144 - 48
22y - 10x = 96
divide by 2
11y - 5x = 48
What I did was just use trial and error at this point.
11(8) - 5(8) = 48

8 visits must a person make for plan A to plan B.
Answer 2

The person must make 8 trips for Plan A and B to be equal.

Plan A will cost $144 and then $10 for every parking. Assuming the number of trips is x, the expression would be:

= One time fee + (Fee per parking x number of trips)

= 144 + 10x

Plan B will cost $48 then parking of $22. Expression will be:

= 48 + 22x

To find out the number of trips where the cost will be equal, equate the two:

144 + 10x = 48 + 22x

144 - 48 = 22x - 10x

96 = 12x

x = 96 / 12

x = 8 trips

The person must therefore make 8 trips for Plan A and B to be equal.

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Related Questions

Pat bought 6 shirts that were all the same price. He used a traveler's
check for $25, and then paid the difference of $86. What was the
price of each shirt?

Answers

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

Please Help ASAP!! Due today!!

Answers

Answer:

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

The equation of a line is 5x + 10y = 15

Answers

Answer:

c

Step-by-step explanation:

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

What is the length of DF?

Answers

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.

There are 2144 chickens and ducks in a farm. The total number or chickens and cows are 1456. The are 5 times as many ducks as cows. The farmer sells each chicken for 12 dollars. How much will he earn by selling all his chickens?

Answers

Answer should be 21

=

189

9

=

21

151°

116°

135°

139°

101°

136° 164°

What is the value of x? PLEASE HELP

Answers

the value of x is 130


!NOW! Bennett budgeted $6,000 to spend on food for the year. If he spent $400 each month,
which expression represents how much money Bennett had left after x months.

Answers

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.

Describe fully the transformation that maps shape a and b

Answers

Answer:

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

if you mean A onto B

What is the product?

Answers

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

Find the slope of the line that contains the points named. G(3, -2), H(7, -2)

A. 0
B. -1
C. Undefined

Answers

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

Pls help if you only know the correct answer! Thanks! :)

Answers

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.

evaluate 999^3 by using suitable identity​

Answers

The answer is:

999^3 = 997002999

Simplify -5^2 + 8|-1| + (-3).

30
-36
-20
14

Answers

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

Which of the following best describes the graph below?

Answers

Your picture is black ?
The screen is dark so i cant see it

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 22/7 for π.

Answers

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]

Leticia places a 10 foot ladder against a wall at a 70° with the
ground. Determine how far the base of the ladder is from the
wall.
O 3.42 feet
0 27.47 feet
O 9.4 feet
29.24 feet
none of these

Answers

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:

a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction​

Answers

toodoslflftlofof0488294’cijr

[tex]\text{Solve for x:}\\4x + 54 = 55\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

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

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[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]

⸻⸻⸻⸻

»»————- ★ ————-««  

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

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

[tex]\sf{4x+54=55 }[/tex]

[tex]\sf{ 4x=55-54 }[/tex]

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

[tex]\sf{x=\dfrac{1}{4} }[/tex] [tex]\sf{ }[/tex]

find the first derivative of the following:
f(x)=e^{x³}​

Answers

[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!

What percent of the data is between 25 and 30 on the number line?



a 25%

b50%

c75%

d100%

Answers

'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

What the measurements for b ? * just different problems*

Answers

If you look closely, you can see that both angles b and the 43 degree angle together make a right angle. (You can tell this by the red line.) A right angle is 90 degrees. To solve this, all you would have to do is take the 90 (both angles combined) and subtract it by the number you already have (43).

Angle b = 47 degrees.

Hope this helps :)

please help me solve
please show how you got the answer

Answers

Answer:

Step-by-step explanation:

New questions in Mathematics

In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side

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6. CDs can be manufactured for $0.19 each. The development cost is $210,000. The first 500 discs are samples and will not be sold a. Write function f…

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what is the estimate product of 345 and 34? [tex] \\ [/tex] ​

what is the estimate product of 345 and 34?​

ucas y Fernando deciden remontar, cada uno, un barrilete y cuentan con 60m de hilo cada uno. El barrilete de Lucas forma un ángulo de 45º con la hori…

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How many parallelograms are in an octagonal prism?

Tn=2n-5 write down four term in a sequence

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Find the value of angle n

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Find the value of angle y

What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi

Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.

Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a

Please help me asap!​

what is lcm of 15 and 143​

12 Here are two equations.
y = 5x - 9 and x + y = 7
a Use this graph to find an
approximate solution of
the equations.
b Use algebra to find exact
solutions of the equations,
Helpppp

Answers

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  

can someone help please

Answers

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

What is the y-coordinate of the ordered pair that satisfies the system of linear equations?
6x+4y= -14
-x - 5y=11

A. 2
B. 1
C. -1
D. -2

Answers

Answer:

D

Step-by-step explanation:

the answer is d hope this helps

Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer. ​

Answers

The equation has infinite solutions, because each side is equal to 3x + 2. Therefore, whatever variable the x replaces will give the same answer every time.

At a local university, there are 4340 students enrolled in History. The ratio of males to
females in therprogram is 3:7. How many males and females are enrolled?​

Answers

Answer:

1302 males & 3038 females

Step-by-step explanation:

3x + 7x = 4340

10x = 4340

x = 434

3(434) = 1302 males

7(434) = 3038 females

Factor completely 25x^4y^6 − 1

Answers

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).

A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?

Answers

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

PLEASE ANSWER ITS DUE IN 10 MINUTE
WRITE IN FULL SENTENCES PLEASEEEEEEE
List two ways the Sun supports life.

Answers

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.

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