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nirvana33 [79]
3 years ago
13

Choose the correct simplification of the expression a2 ⋅ a3. a a6 a5 a−1

Mathematics
2 answers:
KatRina [158]3 years ago
5 0

Answer:the answer would be a^5 I just took the test and got it right!

alina1380 [7]3 years ago
3 0

Answer:  The correct option is (C) a^5.

Step-by-step explanation:  We are given to choose the correct simplification for the following expression :

P=a^2.a^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following property of exponents :

x^a.x^b=x^{a+b}.

So, the simplification of expression (i) is as follows :

P\\\\=a^2.a^3\\\\=a^{2+3}\\\\=a^5.

Thus, the correct simplification of the given expression is a^5.

Option (C) is CORRECT.

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<em>The complete exercise with the answer options is as follows:</em>

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

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Thick crust             240

Stuffed crust             176

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Step-by-step explanation:

With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.

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Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

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Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas

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x= \frac{3000x240}{1040} = 692

Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas

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