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NNADVOKAT [17]
3 years ago
11

Caitlin has a movie rental card worth $175.After she rents the first movie ,the card's value is $172.25. Aftershe rents the seco

nd movie ,its value is $169.50.After she rents the third movie, the card is worth $166.75.
Assuming the pattern continues,write an equation to define A(n), the amount of money on the rental card after n rentals
Mathematics
1 answer:
dedylja [7]3 years ago
4 0
The answer to this question is 175 - n x 2.75
You might be interested in
An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are E(1)= ^9C_2 places in which the other 2 red balls can be placed.

A red ball drawn third, there are E(3)= ^7C_2 places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are E(5)= ^5C_2 places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are E(7)= ^3C_2 places in which the other 2 red balls can be placed.

The total number of total event is S= ^{10}C_3

The probability that A selects the first red ball is

P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}

P(A \text{wins})=\frac{36+21+10+3}{120}

P(A \text{wins})=\frac{70}{120}

P(A \text{wins})=0.5833

6 0
3 years ago
What would be the order?
Oduvanchick [21]

Answer:

<em>17/2, 8.8 with bar on right 8, |-9|, sqrt(82)</em>

Step-by-step explanation:

sqrt(82) = 9.05538...

17/2 = 8.5

8.8 with bar on right 8 = 8.8888888...

|-9| = 9

In order from least to greatest: 17/2, 8.8 with bar on right 8, |-9|, sqrt(82)

3 0
3 years ago
A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video
ankoles [38]
Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54


Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.
3 0
3 years ago
What is the slope of the line that contains the point (13,-2) and (3,-2)
ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

<em><u>Solution:</u></em>

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

<em><u>The slope of line is given as:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)

<em><u>Substituting the values in formula, we get,</u></em>

m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0

Thus the slope of line is 0

3 0
3 years ago
Kiran is spending $12 on games and rides at another carnival, where a game
Alinara [238K]

Answer:

0.25x + y = 12

Step-by-step explanation:

Given

Kiran is spending $12 on games

it means that he can spend total of $12 on rides and games

number of games is represented by x

cost of 1 game = $0.25

cost of x games = $0.25*x = $0.25x

number of rides is represented by y

cost of 1 rides = $1

cost of x rides = $1*y = $y

Total cost for x games and y rides =cost of x games  + cost of y rides

Total cost for x games and y rides =  $0.25x + $y

given that Kiran is spending $12 on games

Total cost for x games and y rides will be $12

thus,

$12 = $0.25x + $y

removing dollar sign for equation formation

0.25x + y = 12

given above is the equation to represent the relationship between the dollar

amount Kiran is spending and the number of games, x, and the number of

rides, y.

3 0
2 years ago
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