A group of friends wants to go to the amusement park. They have no more than $555 to spend on parking and admission. Parking is $7.50, and tickets cost $39.50 per person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?

Step-by-step explanation:

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Step-by-step explanation:

Aaron (A)=30 years old currently. (Aaron's son (S)=10 years old currently)

PREMISES

3S+10=2(S+10)

ASSUMPTIONS

Let A=Aaron's “current” age (3S in terms of his son's age)

Let S=Aaron's son's “current” age (S)

CALCULATIONS

3S+10=2(S+10)

3S+10=2S+20

(3S-2S)+10=(2S-2S)+20

S+10=0+20

S+(10–10)=20–10

S+0=10

S=

10 years old

and,

if S=10 years old, then

A=3S (Aaron's “current” age in terms of his son's age)

A=3(10)

A=

30 years old

PROOF

If A=30 years old, then the equations

3S+10=2(S+10)

3(10)+10=2(10)+20

30+10=20+20 and

40=40 establish the roots (zeros) A, S={30 years old, 10 years old} of the mathematical statement 3S+10=2(S+10)

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I got it right on plato

Answer:

2nd box, and 4th box.

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

10 groups of 3 equals 30 so just add the 9 and that equals 39

Answer:

-154

Step-by-step explanation:

The formula for the sequence is: an = -11n + 22

If n equals 1 you get the first term, and so on.

For the 16th term n=16.

-11(16) + 22

-176 + 22

-154

Step-by-step explanation:

-3x + 4 > 25

-3x > 21 (subtract 4 on both sides)

x < -7. (divide -3 on both sides, flip the sign)

Answer:

d 812 821 here is the answer

Answer:

450

Step-by-step explanation:

find perimeter of bases and then the area. then find Lateral Surface area to get Surface area

Answer:

The 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Step-by-step explanation:

Consider the provided information.

The Middle Colonies, found between the New England Colonies and the Southern Colonies, were a branch of the Thirteen Colonies in British America.

The four colonies that were considered to be part of the Middle Colonies are:

New Jersey, Pennsylvania, New York and Delaware Colony

So, the 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Answer:

A=πr2

Step-by-step explanation:

Answer:

A= πr²

r = Radius

Step-by-step explanation:

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

Answer:

to answer this question i need to know what and what x together to get the area

Step-by-step explanation

Answer: C I think

Step-by-step explanation:

The functions defines (f-g)(x) is √(x-8) - 2/x + 6.

Option D is correct.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

f(x) = √(x /8) + 11

g(x) = 5 + 2/x

So, (f- g) (x)

= f(x)-  g(x)

= √(x /8) + 11 - 5 - 2/x

= √(x-8) - 2/x + 6

Thus, the value of function √(x-8) - 2/x + 6.

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Answer:

Step-by-step explanation:

cos^2θ = 1 - sin^2θ = 1 - 144/169 = 25/169

cos θ is positive in Quadrant IV

cos θ = √(25/169) = 5/13

The value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

We have: The terminal side of θ is in quadrant IV quadrant

sinθ = -12/13

cos²θ = 1 - sin²θ

cos²θ  = 1 - (-12/13)²

cos²θ = 1 - 144/169

cos²θ = 25/169

cos θ = √(25/169)

cos θ = 5/13

cos θ is positive in Quadrant IV

Thus, the value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

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Step-by-step explanation:

5p=12h

3p=?(h)

12×3=5h

36=5h

h=36/5

h=7.2 hours

Answer:

13. x = 12

Step-by-step explanation:

[tex]\frac{16}{x}=\frac{12}{9}[/tex] cross multiply

12x = 144

x = 12

Answer:

The answer to the question provided is

[tex] \frac{1}{2} [/tex]

Answer:

a)  [tex]G(x)= \sin x + 2[/tex]

b) The coordinates of P are

[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

[tex]y = \sin x[/tex]

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

a)

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

[tex]\boxed{G(x)= \sin x + 2}[/tex]

b) The coordinates of P correspond to the value of

[tex]x = \frac{3\pi}{2}[/tex]

The value of G is

[tex]\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2[/tex]

Since

[tex]\sin \frac{3\pi}{2}=-1[/tex]

[tex]\displaystyle G(\frac{3\pi}{2})= -1+ 2=1[/tex]

The coordinates of P are

[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]

Answer:

B.

Step-by-step explanation: B.

Answer:

B.

Step-by-step explanation:

Step-by-step explanation:

LHS= 1 + cot^2A/1+cosecA

=(1+cosecA + cot^2A)/1+cosecA

{By using basic trigonometric theorem cot^2A = cosec^2A - 1}

=(1+cosecA + cosec^2A - 1)/(1+cosecA)

=(cosecA + cosec^2A)/(1+cosecA)

=[cosecA (1+cosecA)]/(1+cosecA)

{Cancelling 1+cosecA}

=cosecA

Answer:

[tex]K[/tex] is equidistant from [tex]H[/tex] and [tex]J[/tex].

Step-by-step explanation:

Given that the point [tex]K[/tex] which is on the perpendicular bisector of the line segment having endpoints at [tex]H[/tex] and [tex]J[/tex].

The given situation can be represented as the diagram as attached in the answer area.

Referring to the [tex]\triangle HOK, \triangle JOK[/tex]:

[tex]\angle HOK = \angle JOK=90^\circ[/tex] (As it is the perpendicular bisector)

[tex]OH = OJ[/tex] (As it is the perpendicular bisector)

Also, the side [tex]OK[/tex] is the common side.

Therefore by [tex]S-A-S[/tex] congruence, [tex]\triangle HKO\cong \triangle JKO[/tex]

As per the properties of congruent triangles:

Side [tex]HK[/tex] = Side [tex]JK[/tex]

[tex]HK[/tex] and [tex]JK[/tex] are nothing but the distance of the point [tex]K[/tex] from the end points [tex]H[/tex] and [tex]J[/tex] which are proved to be equal to each other.

Therefore, we can conclude that:

[tex]K[/tex] is equidistant from [tex]H[/tex] and [tex]J[/tex].

Answer:72 voted for athletes

Step-by-step explanation:

Answer:

asap???

Step-by-step explanation:

Answer:

I'm pretty sure the first blank is 12 , but I am not sure about the second blank...

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

2+0<2is wrong if that's what you mean then the right answer is 2+0=2

the sign < means the number after it is bigger than the number before thus sign so its not the answer

3rd one

Step-by-step explanation:

Answer:

1. (n) 2. (r)

Step-by-step explanation

 interest compounded per year is (n),

annual interest rate is (r).

The number of times that interest is compounded per year is represented by the variable n. While the annual interest rate is represented by r.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

A = amount, P = principal, r = rate of interest, n = number of times interest is compounded per year and t = time (in years).

Therefore, the number of times that interest is compounded per year is represented by the variable n. While the annual interest rate is represented by r.

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