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Dafna1 [17]
3 years ago
5

How many computers must the AB Computer Company sell to break even? Let x be the number of computers.

Mathematics
1 answer:
maksim [4K]3 years ago
4 0

You break even if you spend exactly as much as you gain. In other words, if the cost and the revenue are the same:

C(x)=R(x) \iff 145+0.25x=1.5x

Subtract 0.25 from both sides:

145=1.25x

Divide both sides by 1.25:

x=\dfrac{145}{1.25}=116

So, they must sell 116 computers to break even. If they sell less, they'll lose money. If they sell more, they'll start making profit.

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Answer:

(A)x= -8

Step-by-step explanation:

One-fourth x + 2 = \frac{1}{4}x+2

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Next, we Expand the Left hand Side by multiplying each term in the bracket by 1/4

\frac{1}{4}x+\frac{2}{4}=-\frac{5}{8}x-5

Bringing terms with x to the left Hand Side i.e. collecting like terms

\frac{1}{4}x+\frac{5}{8}x=-5-2\\\\(\frac{1}{4}+\frac{5}{8})x=-7\\\\\frac{7}{8}x=-7

On Cross multiplying

7x = -7 X 8

x=-\dfrac{7*8}{7}\\

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What is the prime factorization of 240? Question options: 24 · 3 · 7 23 · 3 · 5 24 · 5 23 · 5 · 7 24 · 3 · 5
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The prime factorization of 240 is 2^{4} . 3 . 5 ⇒ last answer

Step-by-step explanation:

Prime number is the number that has only 2 factors 1 and itself

{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}

In prime factorization we use only the prime numbers

Ex: The factors of 15 are 1 , 3 , 5 , 15,

      Then the prime factors of 15 are 3 and 5 only because they are

       prime numbers

So to find the prime factors of a number do that

1. Factorize the number by divide it using prime numbers only

2. Write the number as a product of its prime factors

∵ 240 divisible by first prime number 2

∴ 240 ÷ 2 = 120

∵ 120 ÷ 2 = 60

∵ 60 ÷ 2 = 30

∵ 30 ÷ 2 = 15

- We divided the number by 2 for 4 times

∴ 2^{4} is a prime factor of 240

∵ 15 is divisible by prime number 3

∴ 15 ÷ 3 = 5

∴ 3 is a prime factor of 240

∵ 5 is divisible by prime number 5

∴ 5 ÷ 5 = 1

∴ 5 is a prime factor of 240

∴ The prime factors of 240 are 2^{4} , 3 , 5

The prime factorization of 240 is 2^{4} . 3 . 5

Learn more:

You can learn more about factors in brainly.com/question/5194236

#LearnwithBrainly

7 0
4 years ago
A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe
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Answer:

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Step-by-step explanation:

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If the width of the walkway=w

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Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

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