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NISA [10]
2 years ago
9

A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video

games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal...
equation:
solutionx(games):
Mathematics
1 answer:
ankoles [38]2 years ago
3 0
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.
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Hi there! :)

\large\boxed{c = 3}

6c - (3 - 3c) = 24

Distribute the negative sign with terms inside the parenthesis;

6c - (3) - (-3c) = 24

6c - 3 + 3c = 24

Combine like terms:

9c - 3 = 24

Add 3 to both sides:

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Divide both sides by 9:

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Step-by-step explanation:

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3 years ago
how many 3.25 oz cups of pudding does it take to fill a 5x5x2.5 hottub? have to show work with answer.
inna [77]

Answer:

  1534 pudding cups

Step-by-step explanation:

The volume of the tub with dimensions 5 ft × 5 ft × 2.5 inches is ...

  (5×12 in)×(5×12 in)×(2.5 in) = 9000 in³

The volume of 3.25 fluid ounces is (231/128)×3.25 in³, so the number of pudding cups required to fill the "hot tub" is ...

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If the tub is 2.5 ft deep, not 2.5 inches, then the number of pudding cups required is 12 times this amount, or ...

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3 years ago
Manufacturers don’t like defective products because it can give their brands a bad reputation. However, no production line is pe
Elena-2011 [213]

Answer:

0.99804932311

Step-by-step explanation:

We solve this using binomial probability

Binomial probability formula

= nCx × p^x × q^n - x

= n!/(n - x)! x!

Where n = Number of trials = 25 samples

x = Number of successes = 23

p = probability of success = 99% = 0.99

q = probability of failure = 1 - p

= 1 - 0.99

= 0.01

Hence,

p(at least 23 are properly filled) = p(X ≥ x)

= [25!/(25 - 23)! × 23! × 0.99^23 × 0.01^25 - 23 ]+ [25!/(25 - 24)! × 24! × 0.99^24 × 0.01^25 - 24 ]+ [25!/(25 - 25)! × 23! × 0.99^25 × 0.01^25 - 25]

= [300 × 0.99 ^23 × 0.01^2] + [25 × 0.99^24 × 0.01^1] + [1 × 0.99^25 + 0.01^0]

= 0.0238084285 + 0.1964195352 + 0.7778213594

= 0.99804932311

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