3. Arcadia, decides to offer two different options for payment.
Option 1
No admission fee
$15 admission fee
and

Option 2

$5 / game
$6/game

a. Write an equation to represent the total cost of a day spent gaming at Arcadia for Option 2.
the total cost of the day would be

Answers

Answer 1

Answer:

[tex]Total = 15 + 6 x[/tex]

Step-by-step explanation:

Given

Option 1

[tex]Admission = 0[/tex]

[tex]Rate = \$5/game[/tex]

Option 2

[tex]Admission = 15[/tex]

[tex]Rate = \$6/game[/tex]

Required

The total cost for option 2

This is calculated as:

[tex]Total = Admission + Rate * x[/tex]

Where:

[tex]x \to[/tex] games

So, we have:

[tex]Total = 15 + 6 * x[/tex]

[tex]Total = 15 + 6 x[/tex]


Related Questions

Help Pls if you want!!!!

Answers

Answer:

Its 2.5 percent ladd enjoy

Step-by-step explanation:

Answer:

2 per team and 2 left

Step-by-step explanation:

10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.

4*2 = 8

10-8 = 2

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. b BA ∩ LC = K ∆BLK ≅ ∆ ______ by _______. PLZ ANSWER FAST!!!!!!!!

Answers

Answer:

Cannot be determined.

Step-by-step explanation:

The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.

Solve the inequality 8 + n > 4.

Answers

Answer:

n>-4

Step-by-step explanation:

8+n>4

n>4-8

n>-4

Answer:

-4

Step-by-step explanation

Subtract 8 from 4 to get -4.

N = -4

God Bless.

quadrilateral abcd is symmetric with respect to the y axis. the coordinates of point a are (-2,2), and the coordinates of point c are (2, 1). if b is in the first quadrant, what are the coordinates of b?​

Answers

Answer:

The coordinate of b = (2, 2)

Step-by-step explanation:

The details of the quadrilateral abcd are;

The quadrilateral is symmetric about the y-axis (the line x = 0)

The coordinates of the vertices are; a(-2, 2), c(2, 1)

The location of the vertex, b = The first quadrant

We have;

The line [tex]\overline {ab}[/tex] is perpendicular to the line [tex]\overline {bc}[/tex]

Let (x, y) represent the coordinate of the vertex b, we have;

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

(y - 2)·(y - 1) = -(x + 2)·(x - 2)

y² + x² - 3·y - 2 = 0...(1)

y² + x² = 3·y + 2

Also we have;

(y - 2)² + (x - 1)² + (y - 2)² + (x - (-2))² = (2 - 1)² + (2 - (-2))² = 17

Therefore;

2·y² + 2·x² - 8·y + 2·x + 13 = 17

2·(3·y + 2) - 8·y + 2·x + 13 = 17

Using an online tool, we have;

x = y

From equation (1), we have;

2·y² - 3·y - 2 = 0

∴ y = 2, or y = -1/2

Where y = 2, we have;

x = y = 2

Therefore, the point b = (2, 2).

A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70. calculate the hire purchase price​

Answers

Step-by-step explanation:

Marie has decided to start saving for a down payment on her home. If she puts $1,000 every quarter for five years into a GIC earning 6% compounded monthly she will have $20,979.12. She will make her first deposit three months from now.

Laroquette Holdings needs a new $10 million warehouse. Starting today the company will put aside $139,239.72 every month for five years into an annuity earning 7% compounded semi-annually.

Brenda will lease a $25,000 car at 3.9%

The required amount that is paid on hire price is $190.

Given that,
A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total price = $850
Total paid = 200 + 70×12
Total paid = $1040
Total extra pay = 1040 - 850 = $190.

Thus, the required amount that is paid on hire price is $190.

Learn more about arithmetic here:

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Today, the members of the cabinet Group of answer choices are an informal group of presidential advisers. are limited to the heads of the fifteen executive departments. include fourteen department secretaries and the attorney general, plus other top officials chosen by the president. include only the heads of the Departments of State, Justice, Defense, and Treasury, plus the heads of the EPA, CIA, and FBI. are a subset of any six executive department heads, chosen by the president.

Answers

Answer:

include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.

Step-by-step explanation:

The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.

It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.

Express 12 000 iin standard form?​

Answers

Answer:

the answer will be

1.2x10⁴

hope it helps

Answer:

We have been provided the number, 3430000. Therefore, the standard form is, 3430000=3.43×106, here, we have moved 6 places to the left. Hence, the standard form of 3430000 is 3.43×106. Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form.

Which is the right answer?

Answers

Answer:

b the answer

Step-by-step explanation:

The mean age of the students in this class is 15.75. The standard deviation is 1.55. Determine the number of standard deviations from the mean required to include
of the ages listed.
13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13, 15, 17, 17

Answers

Answer:

1.774 standard deviations

Step-by-step explanation:

From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.

The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.75/1.55 = 1.774.

So, the number of standard deviations to contain the value 13 is 1.774σ

Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.25/1.55 = 1.452.

So, the number of standard deviations to contain the value 18 is 1.452σ

Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is  1.774 standard deviations.

im stuck between B and D please help

Answers

Answer:

maybe it's D ( not sure tho)

Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them

Answers

Answer:

Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)

Step-by-step explanation:

Using a cosine function, where time is measured in hours past high

tide:  y=4cos30x + 10

Using a cosine function, where time is measured in hours past low

tide:  y = 4cos[30(x-6)]+10

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have. (Hint: one is the other simplified)

Answers

Answer:

Step-by-step explanation:

Total amount in cents (unsimplified): 5N +17(10-N)

Simplified: 170-5N

Nyasia had 16 M&M’s on her desk. She had 2 groups of M&M’s

with x amount in each, and another group with 4 M&M’s. How

many M&M’s were in the identical groups?

Answers

Answer:

7

Step-by-step explanation:

total mnm 16

group 1= 4 mnm

group 2= x mnm

group 3= x mnm

group 1+ group 2+ group 3= 16

4+ x+x=16

2x= 16-4

x= 14/2

x=7

Luiza earned a total of 604 points playing a skee-ball game. Different points are awarded depending on which hole the ball goes through. When the ball goes in the smallest hole, it is worth 100 points. When it goes in the bigger hole, it is worth 10 points, and when it does not go in either hole, it is worth 1 point.

Which combination could be how Luiza earned her 604 points?

4 balls in the bigger hole, and 6 balls in neither hole
4 balls in the smallest hole, and 6 balls in neither hole
4 balls in neither hole, and 6 balls in the smallest hole
4 balls in the bigger hole and 6 balls in the smallest hole

Answers

Answer:

4 balls in neither hole, and 6 balls in the smallest hole

Step-by-step explanation:

4 balls in the bigger hole, and 6 balls in neither hole

4(10) + 6(1) = 46

4 balls in the smallest hole, and 6 balls in neither hole

4*100 + 6(1) = 406

4 balls in neither hole, and 6 balls in the smallest hole

4(1) + 6(100) = 604

4 balls in the bigger hole and 6 balls in the smallest hole

4(10)+6(100) = 640

This one is really confusing me

Answers

Answer:

D) 9

Step-by-step explanation:

8 + 9 + 10 + 7 =39

48 - 39 = 9

Answer:

Last option: 9

Step-by-step explanation:

48-8-9-5-10-7=9

Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?

Answers

Answer:

[tex]B = 134^o[/tex]

Step-by-step explanation:

[tex]n = 6[/tex] --- sides

[tex]A = 170^o[/tex]

[tex]C = 107^o[/tex]

[tex]D = 102^o[/tex]

[tex]E = 117^o[/tex]

[tex]F = 90^o[/tex]

Required

The measure of B

The interior angles of a polygon is:

[tex]Angles = (n - 2) * 180[/tex]

So, we have:

[tex]Angles = (6 - 2) * 180[/tex]

[tex]Angles = 4 * 180[/tex]

[tex]Angles = 720^o[/tex]

The measure of B is calculated using:

[tex]A + B + C + D + E + F = 720[/tex]

Substitute known values

[tex]107 + B + 170 + 102 + 117 + 90 = 720[/tex]

Collect like terms

[tex]B + 107 + 170 + 102 + 117 + 90 = 720[/tex]

[tex]B + 586 = 720[/tex]

Collect like terms

[tex]B = 720 - 586[/tex]

[tex]B = 134^o[/tex]

b) If x² + 11x +k can be factored then the one value of k could be
(pls answer me?)

Answers

using the format that

b²=4ac

where b=11 a=1 c=k

(11)²=4×1×k

121=4k

k=30.25

Answer:

10, 18, 24, 28, 30

Step-by-step explanation:

Using the sum product pattern you find all numbers with factors that add up to 11. hope this helps :)

3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?

Answers

ll,,Step-by-step explanation:

{24a - 18b} =24a−18b I neeed help

Answers

0

(24a - 18b) = 24a - 18b

24a - 18b = 24a - 18b

collect like terms

24a - 24a = -18b + 18b

0 = 0

Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
A. Defined term
B. Postulate
C. Theorem
D. Undefined term

Answers

The statement if two noncollinear rays join at a common endpoint, then an angle is created is a DEFINED TERM.

A defined term is a sentence or expression used to define a concept, statement or confusing words.  

From the question shown,  we can see that a statement was created which is defined  as "If two noncollinear rays join at a common endpoint, then an angle is created". This can be said to be a defined term since there are presence of keywords that made the statement meaningful and easily understandable.

Hence we can conclude that the statement is neither postulate, theorem nor an undefined term rather we can say it is a DEFINED term.

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The person above is correct defined term :)

there are unspecified number of cows and hens in a den. if there are total of 30 heads and 80 legs in a den, find the number of cows and hens in a den.​

Answers

Let x be the number of cow.

Number of hens=180-x.

Since cows have 4 legs and hens 2,

So, 4x+2(180-x)=420.

or, 4x+360–2x=420

or, 2x=420–360

or, 2x=60

or,x=30.

So, number of cows is 30.

Step-by-step explanation:

Hope this helps you^_^ Please mark as the brainliest.

pls help. even if it’s just one question

Answers

Answer:

a, (5;1) R = [tex]\sqrt{7}[/tex]

b, (-2; 4) R = [tex]2\sqrt{2}[/tex]

c, (4;7) R = 7

d, (-3; -6) R = 7

Step-by-step explanation:

geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.


HELP ASAP!!!!
THANK YOUUUUU

Answers

Answer:

575sq. ft

Step-by-step explanation:

The diagram given can be divided into two rectangles.

Area of a rectangle = length * width

Area of the larger rectangle = 15 * (45 - 10)

Area of the larger rectangle = 15 * 35

Area of the larger rectangle = 525sq. ft

Area of the smaller rectangle = 5 * 10

Area of the smaller rectangle = 50 sq. ft

Area of the room = 525 + 50

Area of the room = 575sq. ft

Number 2 let’s see who knows???

Answers

Answer:

13-3=10

10-4=6

Step-by-step explanation:

man id hate to have to do this work literally just use your fingers or something

Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)

Answers

Answer/Step-by-step explanation:

✔️Volume of right cylinder = πr²h

Where,

π = 3.14

radius (r) = 4 cm

height (h) = 3 cm

Plug in the values into the formula

Volume of cylinder = 3.14*4²*3

= 150.72 cu cm

✔️Volume of cone = ⅓πr²h

Where,

π = 3.14

radius (r) = 5 cm

height (h) = 12 cm

Plug in the values into the formula

Volume of cylinder = ⅓*3.14*5²*12

= 314 cu cm

✔️Volume of pyramid = ⅓*Bh

Where,

Base area (B) = 16 cm²

height (h) = 30 cm

Substitute

Volume of pyramid = ⅓*16*30

= 160 cu cm

✔️Volume of square pyramid = ⅓*s²*h

Where,

Length of square base (s) = 3 cm

Height (h) = 16 cm

Substitute

Volume of square pyramid = ⅓*3²*16

= 48 cu cm

A) (x-1)^3+ 3x(x-4)+2=x^3
B) x^3 +6x +12x +8=0

Answers

Answer: I'll solve A) since there is a lot of work to be shown.

Step-by-step explanation:

A)

(x−1)³+3x(x−4)+2=x³

Use binomial theorem to expand  (x−1)³

x³- 3x² + 3x - 1 + 3x(x-4) + 2=x³

Use distributive property on 3x(x-4)

x³- 3x² + 3x - 1 + 3x²-12x + 2=x³

Add like terms

x³ −9x + 1 =x³

Subtract x³ from both sides.

x³ −9x +1 -x³ = 0

Add x³ and -x³

−9x+1=0

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

−9x=−1

Divide both sides by -9.

x= 1/9

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.

Answers

Step-by-step explanation:

[tex] \sin(x) = \frac{12}{13} [/tex]

The value of the trigonometric ratio are;  [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].

On which triangle can we apply trigonometric ratios?

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse.

Trigonometric ratio are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle suppose its measure is θ,

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

[tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex]

Therefore, The value of the trigonometric ratio are;  [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].

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PLS HELP ASAP NOW I REALLY NEED HELP ITS PYTHAGOREAN THEOREM

Answers

Answer:

a=7.14yd

Step-by-step explanation:

process same as in above question

Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?

Answers

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68

HELP.... please??????????????

Answers

Answers:

Functions

y = -x+11y = 2x^2-6x+4y = -7

Not functions

x = 3x^2+y^2 = 81y^2 = -5x-12

=======================================================

Explanation:

A function is possible if and only if any given x input leads to exactly one y output.

For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.

We have the same thing going on with y^2 = -5x-12 as well.

For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.

-----------------

In summary, we have these three non-functions:

x = 3x^2+y^2 = 81y^2 = -5x-12

Everything else is a function. You can use the vertical line test as a visual way to check.

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