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attashe74 [19]
3 years ago
10

Avery paid a $5.00 entrance fee to the carnival

Mathematics
1 answer:
Anna007 [38]3 years ago
3 0
Let’s start off by subtracting 5 from 10 leaving 5 dollars

if 6 tickets cost 3 dollars she can only buy 6 tickets because she will only have 2 dollars left
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Hi there! Sorry to bother you, but can someone help me out with this?
Rudik [331]

Problem 6

<h3>Answer: A) Conjecture</h3>

Explanation:

We can rule out choices B through D because they are valid items to use in any proof. A definition is a statement (or set of statements) set up in a logical fashion that is very clear and unambiguous. This means there cannot be any contradiction to the definition. An example of a definition is a line is defined by 2 points (aka a line goes through 2 points).

A postulate is a term that refers to a basic concept that doesn't need much proof to see why it's true. An example would be the segment addition postulate which says we can break up a segment into smaller pieces only to glue those pieces back together and get the original segment back.

A theorem is more rigorous involving items B and C to make a chain of statements leading from a hypothesis to a conclusion. You usually would see theorems in the form "if this, then that". Where "this" and "that" are logical statements of some kind. One theorem example is the SSS congruence theorem that says "if two triangles have three pairs of congruent corresponding sides, then the triangles are congruent". Chaining previously proven/established theorems is often done to form new theorems. So math builds on itself.

A conjecture is basically a guess. You cannot just blindly guess and have it be valid in a proof. You can have a hypothesis and have it lead to a conclusion (whether true or false) but simply blindly guessing isn't going to cut it. So that's why conjectures aren't a good idea in a proof.

==========================================================

Problem 7

<h3>Answer: Choice A) A theorem does not require proof</h3>

Explanation:

As mentioned in the section above (paragraph 3), a theorem does require proof. It's like having a friend come up to you and make a claim, only to not back it up at all. Do you trust your friend? What if they might be lying? Now consider that instead of a friend, but now it's some random stranger you just met.

Of course, they may not realize they are lying but it's always a good idea to verify any claim no matter how trivial. Math tries to be as impartial as possible to have every theorem require proof. Some proofs are a few lines long (we consider these trivial) while others take up many pages, if not an entire book, depending on the complexity of the theorem.

So that's why we can rule out choice B since it's a true statement. Choices C and D sort of repeat the ideas mentioned, just phrased in different ways. As mentioned earlier, a theorem is built from fundamental building blocks of various definitions and postulates and theorems. The term "axiom" is more or less the same as "postulate" (though with slight differences).

If you wanted to go for a statement that doesn't require proof, then you'd go for an axiom or postulate. Another example of such would be something like "if two straight lines intersect, then they intersect at exactly one point".

5 0
3 years ago
Solve for x<br> Pls help
Dennis_Churaev [7]

Step-by-step explanation:

collect the like terms 12x+4=9x+8

12x-9x=8-4

3x=4

X=1.333

8 0
3 years ago
Read 2 more answers
Select the correct answer.
alex41 [277]

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function 'f' in the interval x = a and x = b is given by,

Average rate of change of change = \frac{f(b)-f(a)}{b-a}

Given function is,

g(x) = \frac{5}{x-1}+2

We have to calculate the rate of change in the interval [-4, 3],

Average rate of change = \frac{g(3)-g(-4)}{3-(-4)}

g(3) = \frac{5}{3-1}+1

       = 2.5 + 1

       = 3.5

g(-4) = \frac{5}{-4-1}+1

       = -1 + 1

       = 0

Average rate of change = \frac{3.5-0}{3+4}

                                        = \frac{3.5}{7}

                                        = \frac{1}{2}

Therefore, Option B will be the answer.

4 0
3 years ago
The population of a large city can be calculated using the function P= 227,000(.98). What can you say about the rate of change f
Natali [406]
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8 0
3 years ago
You must buy cupcakes and pizza for a party. Each cupcake costs $2.50, and each pizza pie costs $9. You know that you need at le
aivan3 [116]
In order to get 10 pizzas and about 90 cupcakes is to spend roughly 250$ but u could cut back on pizzas. 
6 0
3 years ago
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