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vivado [14]
3 years ago
9

Find the prime factorization for the number m (if possible) that makes each of the following true. If no number is possible, exp

lain why not.
A. 2^3 x 19^5 x 23^4 = 2^3 x 19^5 x 46 x m
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0

Answer:

Is not possible to find a prime factorization for m.

Step-by-step explanation:

if

2^3 . 19^5 . 23^4 = 2^3 . 19^5 . 46 . m

then

m=\frac{2^3. 19^5 . 23^4}{2^3 . 19^5 . 46 }=\frac{2^3. 19^5 . 23^4}{2^3 . 19^5 . 2.23 }=\frac{23^3}{2}

So m is not an integer, hence it cannot be decomposed in prime factors.

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Answer: Mark up percent = 20%

Step-by-step explanation:

Given: Cost price of each T-shirt = $5.00

Amount required = $450

Total students = 75

Market price for each T-shirt to raise the required amount = (Amount required ) ÷ 75

= $450 ÷ 75

= $ 6

Mark up percent = \dfrac{\text{Market price - Cost price}}{\text{Cost price}}\times100

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66.6 reoccurring as a fraction .
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Answer:

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Step-by-step explanation:

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Answer:

Horizontal line: y=-5

Vertical line: x = 4

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).

  • To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.

Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5

  • To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.

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