Two arcades charge an entrance fee and a fee per game. At Arcade A, the total cosi y (in dollars) of playing 2 games is represented
by the linear function y=0.75.2 + 2. The table shows the total cost for playing I games at Arcade B. Determine which arcade is
described by each phrase below.
Number of Games,
0
4
8
12
Total Cost (dollars), y
8
10
12
14
Arcade A
Arcade B

higher fee per game
higher entrance fee
higher total cost for 8 games

Answers

Answer 1

Answer:

Part a) Higher fee per game Arcade A

Part b) Higher entrance fee Arcade B

Part c) Higher total cost for 8 games Arcade B

Step-by-step explanation:

Let

x------> the number of games

Arcade A

we have that the linear equation is

[tex]y=0.75x+2[/tex]

The fee per game is $0.75

The entrance fee is $2

The cost for 8 games is equal to

[tex]y=0.75(8)+2=\$8[/tex]

Arcade B

Find the linear equation

Let

[tex]A(0,8),B(4,10)[/tex]

Find the slope of the line (fee per game)

[tex]m=\frac{10-8}{4-0}=0.50[/tex]

The point A is the y-intercept

The linear equation is

[tex]y=0.50x+8[/tex]

so

The fee per game is $0.50

The entrance fee is $8

The cost for 8 games is equal to

[tex]y=0.50(8)+8=\$12[/tex]

therefore

Part a) Higher fee per game Arcade A

Part b) Higher entrance fee Arcade B

Part c) Higher total cost for 8 games Arcade B


Related Questions

How much more is the rate of change of function to then the rate of change of function one? 40 points HELP ME PLEASE

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

It would be 5

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Rhonda has 3 different color shorts, red, blue, and green ---- and a pair of blue jeans and a pair of white jeans. She randomly chooses a t shirt and a pair of jeans. What are all the possible outcomes? What is the probability that she will pair the red t shirt with the white jeans?

Answers

Answer:

there are 6 possible outcomes with a 1/6 chance of a red shirt with white jeans

Step-by-step explanation:

I'm listing them in shirt the jeans and the letter corresponds to the color of them

r w

r b

b w

b b

g w

g b

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

since there are two colors of jeans that is a .5 ( or 1/2) chance of grabbing it and three different shirts which is a .33 (or 1/3)

1/3 x 1/2 = 1/6

hope this helps for the third time lol

may somebody help me please

Answers

B is correct. 7*-1= -7. -2*1=-2 -7+2= -5

Answer:

The correct answer is D because both ordered pair when substituted to the equation, both sides of the equation didn't equal to each other.

Explanation:

All you do is substitute. (x,y)

A:

Substitute

7(1) - 2(5) = -5

Multiply the number inside the parentheses by the number outside.

7 - 10 = -5

Subtract the numbers.

-3 = -5

This is not the solution to the equation because the numbers on both sides don't equal to each other.

B:

Substitute

7(-1) - 2(1) = -5

Multiply the number inside the parentheses by the number outside.

-7 - 2 = -5

Subtract the numbers.

-9 = -5

This also not the solution to the equation because the numbers on both sides don't equal to each other.

C:

They both are not the solution to the equation because the numbers on both sides don't equal.

For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile is 78, and the third quartile is 102. Select all of the answers that create a true statement.

Approximately 25 students in the sample send

more than 90 text messages.
less than 90 text messages.
more than 78 text messages.
more than 102 text messages.
between 90 and 102 text messages.
less than 78 text messages.
between 78 and 102 text messages.

Answers



Approximately 25 students send
Less than 78 text messages
More than 102 text messages

Answer with explanation:

[tex]Q={\text{Median}}=90\\\\Q_{1}=78\\\\Q_{3}=102[/tex]

There are 100 students in the group.

If we divide 100 students into groups

→First quartile =25.5

means, first quartile of students has median value ≤ 78.

→Median =50.5

Most of the students sends ,90 messages a day.

→Third Quartile=75.5

Students lying above the third Quartile ,sends ≥102 messages per day.

First Quartile means, approximately 0- 25 students in the group , sends 78 messages.

[tex]Q_{1}\leq 78[/tex]

Third Quartile means, 75-100 , students in the group, sends 102 messages .

[tex]Q_{3}\geq 102[/tex]

Approximately 25 students in the sample send

1. more than 102 text messages.

2.less than 78 text messages.

(2a^2 + a + 3) ÷ (a - 1)

Answers

Answer:

2a + 3 Remainder 6

Step-by-step explanation:

Find the attachment bellow for a step by step explanation.

Answer:

2a + 3

Step-by-step explanation:

We are given the following two terms and we are to divide them:

[tex] \frac { 2 a ^ 2 + a + 3 } { a - 1 } [/tex]

We will start by divide the highest order term in the dividend  [tex]2a^2[/tex] by the highest order term in divisor  [tex]a[/tex]:

[tex]\frac{2a^2 + a + 3}{a-1}=2a[/tex]

Then we multiply the new quotient term by the divisor where [tex]-2a^2+2a[/tex] is subtracted by [tex]2a^2+a[/tex].

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend to get:

[tex]2a+3[/tex] as the quotient and [tex]6[/tex] as the remainder.

A credit card company charges a customer $18 interest on a $90 purchase. What is the interest rate?

Answers

Final answer:

The interest rate charged by the credit card company for a $90 purchase with an $18 interest charge is calculated to be 20%.

Explanation:

To calculate the interest rate charged by the credit card company on a $90 purchase with an $18 interest charge, we need to use the formula for interest rate:

Interest Rate = (Interest / Principal) × 100

Applying the given values:

Interest Rate = ($18 / $90) × 100

Interest Rate = 0.2 × 100

Interest Rate = 20%

The interest rate the credit card company charged on the purchase is 20%.

Clayton surveyed a random sample of 90 registered voters in his hometown. He asked them if they were in favor of building a new park. The results are shown below:
In favor-63
Not in favor-27
Based on these results, about how many people out of the 15,500 registered voters would be expected to vote in favor of a new park?
PLEASE HELP!

Answers

10850 would be I'm favor of building the park and 4650 would not

what is the volume of a sphere whose radius is 6 ft

Answers

the volume is 904.78

formula for sphere

[tex] \frac{4}{3} \pi{r}^{2} [/tex]

Explaining the volume of a sphere with a radius of 6 feet using the formula V = (4/3)πr³.

The volume of a sphere with a radius of 6 feet can be calculated using the formula:

V = (4/3)πr³

Given r = 6 feet, substituting the value, we get:

V = (4/3)π(6)³ = (4/3)π(216) = 288π cubic feet

3/4(x-12)=12
3/4y - 12=12
What is x? What is Y?

Answers

Answer:

x = 28y = 32

Step-by-step explanation:

3/4(x-12)=12

3/4x - 3/4(12) = 12

3/4x - 9 = 12

3/4x = 12 + 9

3/4x = 21

1/4x = 7

x = 28

3/4y - 12=12

3/4y = 12 + 12

3/4y = 24

1/4y = 8

y = 32

PLEASE HELP! 22 POINTS!! ASAP

Answers

Answer: D

Step-by-step explanation: Based on the chart, we can tell that both the median (The line inside the box) and the interquartile range (the box itself) is bigger on Friday than it is on Saturday.

simplify pleaseeeeeeeeeee

Answers

Answer:

D is your answer

Step-by-step explanation:

What you do to figure this out is you take the 3^15 and make it to where there is 15 3's.

3, 3, 3, 3, 3, 3, 3, 3, 3 ,3, 3, 3 ,3, 3, 3.

You will then put them in groups of 2 to get them out of the Square root.

3,3    3,3    3,3    3,3    3,3    3,3    3,3    3.

There are 7 groups where the 3 can come out of the Square root.

So your answer is 3^7sqrt3. D is your answer.

Answer:

d. 3⁷√3

Step-by-step explanation:

√(3¹⁵) can be written as √(3¹⁴ₓ 3)

=√(3¹⁴)ₓ√3

To find the the square root of the number in index form, we divide the index by 2.

√(3¹⁴)=3⁷

let √3 remain in surd form, then we shall have the solution as 3⁷×√3

=3⁷√3

{System: I am having a bit of trouble calculating this. Will you help me out? Thank you!}

Answers

Answer:

1 3/15

Step-by-step explanation:

Take 18 divided by 15, make it a fraction which is 18/15 then divide (how many 15's go into 18?) since 1 15 goes into 18 you put a 1 in the whole number place, and the remainder is 3/15.

Answer:

D

Step-by-step explanation:

B is not correct.

Convention says that the number after the divide sign must be in the denominator. In plain English, that means you must have 18 on the top and 15 on the bottom like this

18

===

15

Since that is not one of your answers you have to break it down

18 can be divided by 15 once.  That means that  A is not right either.

So all you have left is C and D

There's 3 left over when you divide 18 by 15.

Only one answer is possible

1 3/15 which is D

Helppppppp pleaseeeeeeee

Answers

it is 4 1/2 inches long

The right end of the board lines up with the mark halfway between 4 and 5, which means the mark is at 4.5 inches.

Since the board ends at the mark, the length of the board is 4.5 inches.

The length of the board in the image is 4.5 inches.

We can determine this by looking at the scale on the ruler in the image. The scale is marked in inches, and the right end of the board lines up with the mark halfway between 4 and 5.

This means that the mark is at 4.5 inches, and since the board ends at the mark, the length of the board is 4.5 inches.

Another way to think about this is to imagine that you are measuring the board with a ruler.

If you place the ruler at the left end of the board and line up the zero mark with the left end of the board, then the right end of the board will be at the 4.5-inch mark on the ruler.

Here is a more creative way to answer your question:

The board in the image is 4.5 inches long, or as long as a half-dollar coin laid on its side.

Imagine that you have a half-dollar coin. If you place the coin on its side next to the board, you will see that the coin is exactly the same length as the board. This is a fun and easy way to remember the length of the board without having to use a ruler.  

For similar question on board lines.

https://brainly.com/question/499332

#SPJ3

HelP mE pLEAsE I wOulD ApPreCiaTe iT

Answers

Answers are on attached sheet! :)

Miguel is multiplying 58 by 12. Use the drop-down menu to complete the statement.

Answers

58×13=696!!!!!!!!!!!!!!!!!!!!

Answer:

[tex]58\times 12=696[/tex]

Step-by-step explanation:

We have to multiply 58 and 12.

This could be done by distributive property of multiplication over addition which is:

[tex]a\times b\\=a\times (c+d)\\=(a\times c) + (a\times d)[/tex]

Evaluation of [tex]58\times 12[/tex]

[tex]58\times 12\\=58\times (10 + 2)\\=(58\times 10) + (58\times 2)\\=580 + 116\\=696[/tex]

Distributive property makes us easy to calculate complicated product by dividing the number into smaller parts.

Mariah purchased a car for $8,599. If the rate of depreciation is 2.5%, what will the value of the car be after 4 years? Round your answer to the nearest hundredth.

Answers

Answer:

[tex]\$7,770.81[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$8,599\\r=2.5\%=0.025\\x=4\ years[/tex]

substitute

[tex]V=\$8,599(1-0.025)^{4}=\$7,770.81[/tex]  

Final answer:

After 4 years, Mariah's car will depreciate to approximately $7,761.66, following a 2.5% annual depreciation rate.

Explanation:

To calculate the depreciated value of a car, we can use the formula for exponential decay, which is:

V = P[tex](1 - r)^t[/tex]

where V is the final value of the car after time t, P is the initial purchase price of the car, r is the rate of depreciation per year, and t is the number of years.

For Mariah's car, the initial purchase price (P) is $8,599, the rate of depreciation (r) is 2.5%, or 0.025 when expressed as a decimal, and the time period in question (t) is 4 years.

Now we can perform the calculation:

V = $8,599[tex](1 - 0.025)^4[/tex]
V = $8,599[tex](0.975)^4[/tex]
V = $8,599(0.9025)
V ≈ $7,761.66

So, after 4 years, the value of the car will approximately be $7,761.66, when rounded to the nearest hundredth.

35 POINTS! PLEASE HELP MEEE!!! HURRY PLEASE IM RUNNING OUT OF TIME!!!!!!!!!!!!!!!!!

ALSO, THE MEASUREMENTS FOR THE LAST ONE IS 1.5m, 4m, 6m, 2.5m



Find the surface area of each figure to the nearest tenth show your work.

Answers

Answer:

CYLINDER

Surface Area = 471.2 cm^2

TRIANGULAR PRISM

Surface Area = 60.75 m^2

Step-by-step explanation:

CYLINDER

The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )

FORMULA:

π x 5 x 2 x 15

WORK:

π x 5 = 15.7

15.7 x 2 = 31.4

31.4 x 15 = 471

TRIANGULAR PRISM

The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.

FORMULA:

2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)

WORK:

(2.5 x 1.5) = 3.75/2 = 1.875

1.875 x 2 = 3.75

(6 x 4) = 24

(6 x 4) = 24

(6 x 1.5) = 9

3.75 + 24 + 24 + 9 = 60.75

I've already done the first one for you, but here's the second one: (its in the attached sheet)

A student answers 80% of the questions on a math exam correctly. If she
answers 48 questions​ correctly, how many questions are on the​ exam?

Answers

Answer:

38

Step-by-step explanation:

Step-by-step explanation:

Set up an equation. 80 percent equals 0.8

0.8x=48

since 80 percent of x, the amount of questions on the exam equals to 48 questions correct.

Divide both sides by 0.8 to get 60

6) Find the surface area of the square pyramid.
8 cm
5 cm

Answers

Answer:

the formula for surface area of a triangle is s=1/2ph=b

Step-by-step explanation:

p = perimeter of pyramid

h = height of each triangular face

BIG B = Area of base of pyramid

Solve!

i hope this helped im only in the 8th grade, so i am just learning this

A box contains 20 DVDs, 4 of which are defective If two DVDs are selected at random (with replacement) from this box, what is the probability that both are defective?

Answers

Answer:

1/25

Step-by-step explanation:

Total number of DVD's in the box = 20

Number of defective DVD's = 4

The probability of picking up a defective DVD = [tex]\frac{4}{20}=\frac{1}{5}[/tex]

This DVD is being replaced back. So this does not change the total number of DVD's in the box and the number of defective DVD's in the box.

So again the probability of picking up the second defective DVD = [tex]\frac{4}{20}=\frac{1}{5}[/tex]

The probability that both DVD's are defective will be the product of probabilities of individual events i.e.

[tex]\frac{1}{5} \times \frac{1}{5}  = \frac{1}{25}[/tex]

Thus, the probability that both DVDs are defective is 1/25

Final answer:

The probability of selecting two defective DVDs from a box containing 20 DVDs with 4 defective ones, with replacement, is 1/25.

Explanation:

To find the probability that both DVDs are defective, we need to consider the probability of selecting a defective DVD on each trial.

Since the DVDs are selected with replacement, the probability remains constant.

There are 20 DVDs in total, with 4 of them being defective.

So the probability of selecting a defective DVD on the first trial is 4/20 = 1/5.

Similarly, the probability of selecting a defective DVD on the second trial is also 1/5.

To find the probability that both DVDs are defective, we multiply these probabilities together:

Probability = (1/5) * (1/5) = 1/25

Determine which postulate or there and can be used to prove that triangle SEA is congruent to triangle PEN

Answers

Answer:

The answer is ASA!

Step-by-step explanation:

Answer:

asa

Step-by-step explanation:

how to solve equations​

Answers

Answer:

It really depends on what type of equation you are solving.

However, if you're working with an equation that contains variables, it's advised that you should get rid of the variables first before the whole numbers/integers.

Step-by-step explanation:

A square with sides of 15 cm is enlarged in a ratio 3:4. What is the area of the resulting square?​

Answers

Final answer:

When a square with 15 cm sides is enlarged by a ratio of 3:4, the resulting square has a side length of 20 cm, and consequently, an area of 400 cm².

Explanation:

If a square with sides of 15 cm is enlarged in a ratio of 3:4, we first need to determine the new length for the sides of the resulting square. To do this, we take the original side length (15 cm) and multiply it by the scale ratio.

The scale ratio is 3:4 which means for every 3 units of the original, the new square will have 4 units. Therefore, we calculate the new side length as follows:

Original side length = 15 cmScale factor = 3:4New side length = (15 cm) × (4/3) = 20 cm

Now, to find the area of the resulting square, we square the new side length:

Area = side × side = 20 cm × 20 cm = 400 cm²

So, the area of the resulting square is 400 cm².

Explanation please!​

Answers

Answer:

The slope is 3/2

Step-by-step explanation:

Slope is calculated by rise over run so there are three points for you. You start from a point that hits the line then you go up 3 units and across 2 units and you hit the next point. That means the slope is 3/2

Hope this helps and I tried my best on explaining it's hard without being able to show it to you!

Answer:

The slope of given line = 2/3

Step-by-step explanation:

Let (x₁, y₁) and (x₂, y₂) be the two points on a line, the slope of the line is given by,

Slope = (y₂ - y₁)/(x₂ - x₁)

Form the figure we get some coordinates points

(2, 3),  (4,6) , (6, 9)

To find the slope of  line

Consider two points

(x₁, y₁)  = (2, 3) and  (x₂, y₂) = (4, 6)

Slope = (y₂ - y₁)/(x₂ - x₁) = (4 - 2)/(6 - 3) = 2/3

Therefore the slope of given line = 2/3

which is the best estimate of the solution to this system of equations?​

Answers

Answer:

Option 3. (23, 14)

Step-by-step explanation:

In this figure, solution of the system of equations is the point of intersection of the equations representing two lines.

Or common points lying on both the lines will be the solutions of the system of equations.

In the given graph approximate value of x - coordinates = 23

and approximate value of y - coordinates = 14

Therefore, solution of the system is (23, 14).

3rd option (23, 14) is the answer.

Answer:

Option 3. (23, 14)

Step-by-step explanation:

Plz help!!!!!!!!!!!!!!

Answers

Answer:   c) 28

Step-by-step explanation:

x² - 7x + 10   ; x = -2

replace x with -2:

(-2)² - 7(-2) + 10

= 4 -  -14 + 10

= 4 + 14 + 10

=    18    + 10

=        28

Can anybody help me please

Answers

Answer: x  /  y

              0  /  4

              4  /  0

            -10  /  6

Step-by-step explanation:

Answer:

x          y

0          4

20       0

-10       6

Step-by-step explanation:

x + 5y = 20

5y = -x + 20

 y = -1/5 x + 4

so

when x = 0,

y = -1/5 (0) + 4

y = 4

when y = 0 then

0 = -1/5 x + 4

-4 = -1/5 x

x = (-4) (-5)

x = 20

when y = 6 then

6 = -1/5 x + 4

2 = -1/5 x

x = 2 * (-5)

x = -10

between what two consecutive numbers is the square root of 20

Answers

4 annnnnndddddddd 5 is the answer

you want to go on an “Around the world cruise” two travel agents are offering cruise packages for $20,000. the agents have unusual finance offers. with each agent, you are charged interest over time, but rather than making monthly payments, you are expected to pay the cruise off (principle plus interest) in a single lump sum payment at a date of your choosing. you will need at least a year after purchasing the cruise to save enough money to pay it off. Agent A: this plan comes with a 12% interest per year charge. Agent B: This plan charges 1% interest per month decide which is better

Answers

Answer:

theyre both the same rate.

Step-by-step explanation:

12months at 1% turns into 12% a year

There are 13 possible toppings at the local ice cream store you have three toppings on a large Sunday how many combinations of ice cream toppings are possible

Answers

Answer:

286

Step-by-step explanation:

Since we are looking for the number of combination, we use the formula:

[tex]_{n}C_{r}=\dfrac{n!}{(n-r)!r!}[/tex]

n = 13

r = 3

[tex]_{13}C_{3}=\dfrac{13!}{(13-3)!3!}[/tex]

[tex]_{13}C_{3}=\dfrac{13!}{10!3!}[/tex]

[tex]_{13}C_{3}=286[/tex]

So there are 286 possible combinations of 13 toppings at 3 toppings on a large sundae.

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