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

(x^(2)+4x-12)/(x^(2)-25)-:(x+6)/(x^(2)-5x)

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Step-by-step explanation:

PS:Thas some questoin

A certain type of bacteria is growing at an exponential rate that is modeled by the equation y=aekt, where t represents the number of hours. There are 100 bacteria initially, and 500 bacteria five hours later.

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Answer:

meow meow

Step-by-step explanation:

The area of a triangle is 92 and its height is 23 what is its base?

Answers

Answer:

7.36

Step-by-step explanation:

Area=92

Height=23

Base=?

Area=1/2*base*height

92=1/2*23*height

92=12.5*height

920/125=height

7.36=height

Pleae mention unit in answer

Mark me as brainliest

Pls help me with this it's urgent!

Answers

Answer:

function is the correct answer

Answer:

an = a1 + (n - 1 ) d (Function)

Step-by-step explanation:

This is the formula that will be used when we find the general (or nth) term of an arithmetic sequence. So it is function

Which graph represents an exponential function?
On a coordinate plane, a curve decreases rapidly and then levels out.
On a coordinate plane, a curve decreases, changes directions, and then decreases again.

Answers

The first one. It is called an exponential decay curve.

Answer:

A

Step-by-step explanation:

A

Help!! Please also explain how you got your answer

Answers

Answer:

y = -½x + 4

Step-by-step explanation:

the line passes point of y-intercept (0, 4) ,

and another point (6, 1)

the slope = (1-4)/(6-0) = (-3)/6 = -½

so the Equation is y = -½x + 4

The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.

The answer should be 12. please help with explanation and calculation!!!

Answers

Answer:

AC = 10

Step-by-step explanation:

This is a right triangle

use the pythagorean theorem

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

Take the square root of both sides

10 = c

AC = 10

The correct answer is 10 not 12

Is it better to buy a used car or a new car? Why

Answers

Answer: This depends on how well the used car was taken care of if the used car has no problems wrong with it and is cheaper than the unused car you are looking to buy then the used car is best if you are wanting to save money, but if the used car has problems that cost more to fix then the car cost then you should go with the unused car.

Which of the following best describes the graph of the polynomial function
below?

Answers

Answer:

Step-by-step explanation:

The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros.  This parabolic curve opens up and has its vertex (minimum) at (-1, -1).

Answer: The graph has two zeros.

Step-by-step explanation:

The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.

y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.

You can see the height degree of the function is 2.

Therefore, there should be two zeros of the function.

According to the given graph of parabola has two zeros at x = -2 and x = 0.

The graph cross the x-axis at x = -2 and x = 0.

Hence, the graph has two zeros.

Answer is A. The graph has two zeros

Which side lengths form a right triangle?​

Answers

Answer:

answer is option B

9² +40² =41²

81+1600=1681

Answer:

B) 9 , 40, 41

............

helpppppppppppppppppppppppppppppppppp!!!!!!!!!

Answers

The answer could be expressed as 2^8 because the product is 16!

(6n-25) + (3n + 20) = 180

Answers

Answer:

n = 185/9

Step-by-step explanation:

(6n-25) + (3n + 20) = 180

Combine like terms

9n -5 = 180

Add 5 to each side

9n - 5 +5 = 180+5

9n = 185

Divide each side by 9

9n/9 = 185/9

n = 185/9

explain fully please

Answers

Answer:

whats the question..........

Write the expression using an exponent.

1·7·7·7·7·7

Answers

Answer:

7⁵

Step-by-step explanation:

An exponent indicates how many times a number multplies itself.

Examples:

2² = 2* 2

2⁴ = 2 * 2 * 2 * 2

A mechanic has a set fee for working on someone's automobile and charges by the hour for making repairs. The total cost of her services (yes she
female mechanic), is c(t) = 100t + 90. Which statement(s) about this function is true?
1. The one time fee for working on the car is $90.
II. The mechanic charges $100 per hour.
III. The number of hours the job takes is represented byt
a. I and III
b. I, II, and III
c. I and II
d. ll and III

Answers

I think it’s either b or c. But I’m leaning more towards c

simplify 2⁴
please help me with this question ​

Answers

Answer:

16

Step-by-step explanation:

2^4= 2x2x2x2 = 16

Answer:

16

Step-by-step explanation:

Raise 2 to the power of 4.

4x2x2= 16

You're rasing 2 two times so...

4x2x2= 16

determine tan(t) if cos(t) = -12/13 and sin(t) ​

Answers

Question

Determine tan(t) if cos(t) = -12/13 and sin(t) = 5/13

Answer:

tan(t) = [tex]\frac{-5}{12}[/tex]

Step-by-step explanation:

Method 1:

The sketch of the trigonometry is attached to this response.

Since cos(t) is negative and sin(t) is positive, then t should be in the second quadrant as shown in the sketch. A triangle is formed.

We know that, in a given triangle, the cosine of a given angle is the ratio of the adjacent side to the hypotenuse side.

i.e

cos (t) = adjacent / hypotenuse = - 12 / 13            

Where;

adjacent = -12                  [the adjacent side is in the -x direction]

hypotenuse = 13

Also, the sine of a given angle is the ratio of the opposite side to the hypotenuse side.

sin (t) = opposite / hypotenuse

Where;

opposite = 5

hypotenuse = 13

These sides - opposite, adjacent and hypotenuse - are labelled in the sketch.

From this triangle and the labels, the tangent can be found.

We know that the tangent of a given angle is the ratio of the opposite side to the hypotenuse side. i.e

tan (t) = opposite / adjacent

Where;

opposite = 5

adjacent = -12

Therefore,

tan (t) = [tex]\frac{-5}{12}[/tex]

Method 2:

The tangent of an angle is the ratio of the sine of that angle to the cosine of that angle. i.e

tan(t) = sin(t) / cos (t)              ---------------(i)

sin(t) = 5 / 13

cos(t) = -12 / 13

Substitute for sin(t) and cos (t) in equation (i)

tan(t) = [5 / 13] / [-12 / 13]

tan(t) = [5 / 13] x [-13 / 12]

tan(t) = [tex]\frac{5}{13} * \frac{-13}{12}[/tex]

tan(t) = [tex]\frac{-5}{12}[/tex]

the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap ❤️❤️❤️❤️❤️

Answers

Answer:

576'' squared

Step-by-step explanation:

Which values of a, b, and c correctly represent the answer in simplest form?
3
- 2
b
32
O a=38, b= 14, C = 1
O a=1,5=14, C= 38
O a=1,b=7.C= 19
O a= 19, b=7,C= 1

Answers

Answer:

The answer for this is a=1,b=7,c=19.

In order to simulate conditions near roads treated with road salt, scientists raised wood frog tadpoles in a high concentration of salt, and tadpole survival was measured. The survival rates for 5 replicates were 32, 37, 41, 45, and 50 percent. The sample mean for these values is 41 percent, and the sample variance is 48.5 percent squared. Determine the standard error of the sample mean for this data set.

Answers

Answer:

[tex]SE_{\bar x} = 0.311[/tex]

Step-by-step explanation:

Given

[tex]n=5[/tex]

[tex]\bar x = 41\%[/tex]

[tex]\sigma^2= 48.5\%[/tex] --- variance

Required

The standard error of the sample mean

This is calculated as:

[tex]SE_{\bar x} = \frac{\sigma}{\sqrt n}[/tex]

This can be rewritten as:

[tex]SE_{\bar x} = \frac{\sqrt{\sigma^2}}{\sqrt n}[/tex]

So, we have:

[tex]SE_{\bar x} = \frac{\sqrt{48.5\%}}{\sqrt 5}[/tex]

Rewrite as:

[tex]SE_{\bar x} = \sqrt{\frac{48.5\%}{5}}[/tex]

[tex]SE_{\bar x} = \sqrt{0.097}[/tex]

[tex]SE_{\bar x} = 0.311[/tex]

The equation of the line of best fit of a scatter plot is y = −8x + 3. What is the the y-intercept?

A. −8
B. −3
C. 3
D. 8

Answers

Answer:

C. 3

Step-by-step explanation:

The y intercept will always be the 'b' in the formula

y= mx+b

since your formula is y = -8x +3, and 3 is in the place of "b", your y intercept will be 3

Answer:

C.3

Step-by-step explanation:

In the equation of y = -8x +3 you can find the y - intercept by looking at number which replaces b which is a positve three. Meaning that your y - intercept would be answer choice C which is positive three.

What are the zeros of the polynomial function y = (x - 3)(2x + 1)(x - 1)? A. 1/2, 1, 3 B. -1, 1, 3 C. -1/2, 1, 3 D. -3, 1/2, -1

Answers

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

0 = (x - 3)(2x + 1)(x - 1)

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

ally and bo share 60$ how much money does bo get

Answers

Answer:

If Ally and Bo share evenly, Bo will get 30$, so will Ally. The half of 60 is 30.

Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax and he also paid a 15% tip on the original bill.

Answers

Answer:

$25.66

Step-by-step explanation:

Given data

Total Bill before tax and tip= $27.30

Tax= 9%

Tip= 15%

Let us find the tax

=9/100*27.30

=0.09*27.30

=$2.457

Let us find the tip

=15/100*27.30

=0.15*27.30

=$4.095

Therefore his bill after tax and tip is

=27.30+2.457-4.095

=$25.66

Could someone help me solve a right triangle (all sides and angles)
angle c = 90
angle b= 62
Adjacent side is 25

Answers

Regards,
ArmyCee:)

Ps: sorry for the delay

Answer:

Step-by-step explanation:

If you've any doubts feel free to ask :)

Solve 2x-5/x-2 ≤ 1

please answer fast ​

Answers

Answer:

x<=-3

Step-by-step explanation:

2x-5/x-2 <= 1

Multiply both sides by x-2

2x-5<=x-2 (anything times 1 is that number.)

add 5 to both sides

2x<=x-3

subtract x from both sides

x<=-3

Answer:

Step-by-step explanation:

[tex]\frac{2x-5}{x-2} \leq 1\\case ~1. both ~numerator~and~denominator \geq 0\\x\neq 2\\2x-5\leq x-2\\x\leq 3\\so~0\leq x<2U2<x\leq 3\\case~2.\\both~numerator~and~denominator<0\\2x-5\geq x-2\\x>3\\which~is~rejected~as~it~gives~both~2x-5~and ~x-2>0[/tex]

I don’t know where to start

Answers

Answer:

Either 90 degrees clockwise or 90 degrees counterclockwise

Step-by-step explanation:

Answer:

First the image would need to be reflexed over y = 2

Then the x values would need to be increased by 6

(x+6, y)

Step-by-step explanation:

A baker uses 20 cups of flour to make 4 loves of bread. Use this to solve the question in the picture!

Answers

Answer:

60 cups of flour

Step-by-step explanation:

Since it takes 20 cups of flour for 4 loves of bread this means we're going to need to multiply 20x3=60

Pleaseeeeeeee help me

Answers

Answer:

The answer is "The discriminant is positive"

Step-by-step explanation:

When the discriminant is positive there is two real solutions.

When the discriminant is equal to 0, there is one real solution.

When the discriminant is negative, there is no real number solutions.

Select all expressions that at equivalent to the expression 3x + 5. A. 9x − (−5 + 6x) B. 9x − (5 − 6x) C. 9x − (6x + 5) D. 9x − (6x − 5) E. 9x − (−6x + 5)

Answers

Answer:

A. 9x − (−5 + 6x)

D. 9x − (6x − 5)

Step-by-step explanation:

Select all expressions that at equivalent to the expression 3x + 5.

To get our answer, we have to solve each option

A. 9x − (−5 + 6x)

= 9x + 5 - 6x

= 9x - 6x + 5

= 3x + 5

Option A is correct

B. 9x − (5 − 6x)

= 9x - 5 + 6x

= 9x + 6x - 5

= 15x - 5

Option B is wrong

C. 9x − (6x + 5)

9x - 6x - 5

= 3x - 5

Option C is wrong

D. 9x − (6x − 5)

= 9x - 6x + 5

= 3x + 5

Option D is correct

E. 9x − (−6x + 5)

= 9x + 6x - 5

= 15x - 5

Therefore, Option A and D are the correct options with the right expressions

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