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zhannawk [14.2K]
2 years ago
9

One month Dante rented 2 movies and 3 video games for a total of$22 . The next month he rented 4 movies and 8 video games for a

total of$57 . Find the rental cost for each movie and each video game.
Mathematics
2 answers:
lys-0071 [83]2 years ago
5 0

Answer:

your answer is in above pic

Bogdan [553]2 years ago
3 0

Answer:

x = $1.25; y = $6.50

Step-by-step explanation:

Let x be the cost of movies and y be cost of video games.

Month 1 has 2x+3y = 22

So here x = (22-3y)/2 and y = (22-2x)/3

Month 2 has 4x+8y =57

Here x = (57-8y)/4 and y = (57-4x)/8

Now you have two options: Find the y or the x. I will demo the x and you can try the y if you wish.

(22-2x)/3 = (57-4x)/8

176-16x = 171-12x

-4x = -5

x = 1.25

Now with the x found, you plug it into either of the y equations to figure out the other variable.

y = (22-2(1.25))/3

y = 6.5

And to double check:

y = (57-4(1.25))/8

y = 6.5

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Answer: A

Suppose that the last dollar that Victoria receives as income

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Step-by-step explanation:

Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.

The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed.  In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.

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if angle 1 and angle 2 are vertical angles, angle 2 and angle 3 are complementary angles and the measure of angle 3 is 56 degree
dimulka [17.4K]

Answer:

34º

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To solve this exercise we have to resolve algebraic operations following the exponent rules.

(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

(-3)¹/₃⁺ ¹/₃ ⁺ ¹/₃

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<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

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1 year ago
An animals heart beats 80 beats per minute how many minutes does it take to beat a million times?
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The key calculation in this problem is figuring out <em>how many times 80 goes into 1,000,000</em>. I'll build up in steps here.

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trasher [3.6K]

Answer:

D is the answer

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