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iris [78.8K]
3 years ago
14

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

eo games would then only cost $2.50 each to rent. 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.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

24

Step-by-step explanation:

Cost of membership + game = 2.50x + 54

Cost of just games = 4.75x

The catch is, how do we make up the 54 dollars?

So equate the 2 costs

4.75x = 2.50x + 54      Subtract 2.50

4.75x - 2.50x = 54       Combine

2.25x = 54                    Divide by 2.25

x = 54/2.25

x = 24

That means that 24 is the break even point.

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3 years ago
Carlos had 7¾ cups of cheese. After making 5 pizzas, he now only has 2 cups of cheese. How much cheese did Carlos use?
Musya8 [376]

Answer:

5 3/4 cups of cheese used for the pizza

Step-by-step explanation:

7 3/4 = 31/4 cups cheese to start

Two cups of cheese remaining.  2 = 8/4 cups

31/4 cups - 8/4 cups = 23/4 cups used for the pizza.

23/4 = 5 3/4 cups of cheese used for the pizza

4 0
2 years ago
A student claims that only one operation is needed to calculate the length of the subtended arc when given the measure of a cent
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Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression

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4 0
3 years ago
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. Write an algebraic e
tester [92]

Answer:

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The equation will equal his current amount, $41.

6 0
2 years ago
Given r(x) = startfraction 11 over (x minus 4) squared endfraction , which represents a domain restriction on r(x) and the corre
Dmitry_Shevchenko [17]

The domain and inverse of the function

r(x) = \frac{11}{(x - 4)^2} is

Domain = \mathbb{R} - \{4\},

r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

The given function is

r(x) = \frac{11}{(x - 4)^2}

r(x) is not defined if x - 4 = 0

r(x) is not defined for x = 4

Domain = \mathbb{R} - \{4\},

Where \mathbb{R} is the set of all real number

Let r(x) = y

\frac{11}{(x-4)^2} = y\\(x - 4)^2 = \frac{11}{y}\\x - 4 = \pm \sqrt{\frac{11}{y}}\\x = \pm\sqrt{\frac{11}{y}}  +4

<em />r^{-1}(x) = \pm \sqrt{\frac{11}{x}} + 4

To learn more about function, refer to the link:

brainly.com/question/22340031

#SPJ4

3 0
1 year ago
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