A local water park has two types of season passes. Plan A costs a one-time fee of $125 for admission plus $8 for parking every trip. Plan B costs a one-
time fee of $41 for parking plus $20 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?
O4 visits
O 14 visits
08 visits
07 visits

Answer:

c. 0.71

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of the candy after t seconds is given by the following equation:

[tex]h(t) = -16t^2 + 10t + 3[/tex]

After how many seconds will the ball be 2 feet in the air?

This is t for which [tex]h(t) = 2[/tex]

So

[tex]h(t) = -16t^2 + 10t + 3[/tex]

[tex]2 = -16t^2 + 10t + 3[/tex]

[tex]-16t^2 + 10t + 1 = 0[/tex]

So

[tex]a = -16, b = 10, c = 1[/tex]

[tex]\Delta = b^{2} - 4ac = 10^2 -4(-16)(1) = 164[/tex]

[tex]t_{1} = \frac{-10 + \sqrt{164}}{2*(-16)} = -0.09[/tex]

[tex]t_{2} = \frac{-10 - \sqrt{164}}{2*(-16)} = 0.71[/tex]

Since time is a positive measure, the answer is 0.71, which is option c.

Answer:

the answer is about 53.5

Step-by-step explanation:

Answer:

You can show the amount of money by using a model or to show equations.

Step-by-step explanation:

Answer:

740 mg of calcium is the correct answer

Answer:

y = x*$3.45 if   0 ≤ x < 4

y = x*$3.00 if   4 ≤ x

Step-by-step explanation:

A piecewise function is a function that behaves differently in diferent intervals of it's domain.

We know that 1lb of candy costs $3.45

But if you buy 4 lb or more, the cost of each lb is $3.00

Then if x represents the number of pounds of candy that you buy, we have the equation:

y = x*$3.45     if     0 ≤ x < 4

y = x*$3.00     if     4 ≤ x

Answer:

I would try saying that it is a real number

Step-by-step explanation:

Answer:

Pi is a Real or Complex number

Answer:

y=mx+b to find the slope m and y-intercept b.Slope: 2 5y-intercept: (0,−1)

Step-by-step explanation:

i hope this helped

Answer:

Answer attached

Step-by-step explanation:

Answer:

8/9 (choice b)

Step-by-step explanation:

The trigonometric ratios are based on the ratios of different sides.

If you remember SOH CAH TOA =

sine (sin) opposite hypotenuse

cosine (cos) adjacent hypotenuse

tangent (tan) opposite adjacent

__________________________

This is a nuemonic for these ratios.

the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.

So cos C = adjacent side / hypotenuse side.

Since 18 is greater than 16 and 9, 18 is the hypotenuse.

the adjacent side is the side other than the opposite side and the hypotenuse which is 16

therefore cos C = 16 / 18 = 8 / 9.

Answer: It would be 40 inches by 83 1/3 inches

Step-by-step explanation:

The dimensions on the scale drawings will be 40 inches by 83.34 inches.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that If one inch represents 6 feet. The dimensions of 240 feet by 500 feet in the scale drawing will be,

6 feet =  1 inch

1 feet = 1 / 6 inch

240 feet = ( 240 / 6 ) inches

240 feet = 40 inches

500 feet = ( 500 / 6 ) inches

500 feet = 83.34 inches

To know more about an expression follow

https://brainly.com/question/17419653

#SPJ2

uh

one third?

idunno man

Answer:

A

Step-by-step explanation:

23%×65≈14.95≈15

Answer:

15 is the answer a

Step-by-step explanation:

.23×65=14.95

Answer:

3:5

Step-by-step explanation:

divide both sides by 13

Answer:

Normally in intense thunderstorm clouds. The temperature should be below 32 degrees Fahrenheit in the clouds where the hail forms, typically there is also large water droplets and strong updrafts.

Answer: The freezing temperature of the air below the cloud causes the water droplets to freeze.

Step-by-step explanation: Weather conditions must be just right in order for hail to occur. The most important factors are dark,gray clouds alongside thunder and lightning in freezing or below freezing temperatures. When thunder is strong enough to raise water droplets up into freezing temperatures,hail is formed.

Answer:

she invested $7013.33 in stocks and she invested $2986.7 in bonds?

Step-by-step explanation:

Let the amount invested in the stock= X

Let the amount invested in the bond= Y

For quantity equation,

X + Y = 10000 ............eqn(1)

✓We are told inheritance in stocks paying 6.5% simple interest = 0.065X

✓we are told She invested the rest in bonds paying 4.25% simple interest= 0.0425Y

The interest equation can be written as

0.065X + 0.0425Y = 582.50.........eqn(2)

We can make X subject of formula from eqn(1)

X= 10000 - Y

Substitute into eqn (2)

0.065(1000-Y) + 0.0425Y= 582.50

Multiply through by 10000

650(10000 - Y) + 425Y = 5825000

6500000 - 650Y + 425Y =5825000

Y= 2986.66

If we substitute Y into (X + Y )= 10000

X+2986.66= 10000

X= 7013.33

hence, she invested $7013.33 in stocks and she invested $2986.7 in bonds?

Answer: 2.1 tan 37 = x/2.1 * 2.1. 2.1 tan 37 = x. 1.582463505 =x. To the nearest tenth. 1.6 =x.

Step-by-step explanation:

Answer:

8.1

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

area/1/2xheight

The base is the length.

8.91/1/2x2.2

=8.1 inches

Answer:

the answer is 1

Step-by-step explanation:

got it right on edge

Answer:

B.

Hope that helps!  

Step-by-step explanation:

Answer:

[tex]2x^2(2x+3)[/tex]

Step-by-step explanation:

Find the greatest common factor of both, which would be [tex]2x^2[/tex].

Then, use the distributive property to rewrite it:

[tex]4x^2 + 6x^2 = 2x^2 * 2x + 2x^2 * 3 = 2x^2(2x + 3)[/tex]

Answer:

20

Step-by-step explanation:

hope this helps

Answer:

-4

Step-by-step explanation:

when you add a negative, you are subtracting it still. the same way you get to 12 from 8 is by 4. in this situation the 4 would be negative

They would receive 4.60

Answer:

x=7.45

Step-by-step explanation:

Hey There!

For this one we are going to solve for x using trigonometry

Law of Sines to be more specific

So basically [tex]\frac{7}{sin(70)} = \frac{x}{sin(90)}[/tex]

Step on multiply each side by sin(90)

now we have

[tex]x=\frac{7*sin(90)}{sin(70)}[/tex]

7*sin90=7

[tex]\frac{7}{sin70} =7.4492944407[/tex]

Then we just round to the nearest hundredth which would make it into 7.45

Therefore x=7.45

Answer:

55 Degrees

Step-by-step explanation:

Answer:

r = 5 km

Step-by-step explanation:

Given that,

The population in a circular region = 1.15 million

The population density of the region = 18075 people per kilometer

We need to find the radius of the region.

We can find the area of circular region i.e.

[tex]A=\dfrac{P}{d}\\\\A=\dfrac{1.15\times 10^6}{18075 }\\A=63.6\ km^2[/tex]

We know that the area of a circular region is given by :

[tex]A=\pi r^2\\\\\pi r^2=63.6\\\\r=\sqrt{\dfrac{63.6}{\pi}} \\\\r=4.49\ km[/tex]

or

r = 5 km

So, the radius of the region is equal to 5 km.

Answer:

396 ft²

Step-by-step explanation:

Area of the figure = area of the rectangle + area of the triangle

= L*W + ½*bh

L = 20 ft

W = 15 ft

b = 12 ft

h = 16 ft

Area of the figure = 20*15 + ½*12*16

= 300 + 96

= 396 ft²

Answer:

x = 10; y = 20

Step-by-step explanation:

y = 2x

y = x +10

Substitute y of the second equation with 2x.

2x = x + 10

x = 10

y = 2x = 2(10)

y = 20

Answer: x = 10; y = 20

i think its 12 but i dont know