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leva [86]
3 years ago
10

Perform the indicated operation.

alt="x + 5 / 3" align="absmiddle" class="latex-formula"> -X - 3 / 2​
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0

Answer:

x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}

Step-by-step explanation:

Given

x + \frac{5}{3}-x - \frac{3}{2}

Required

Solve

x + \frac{5}{3}-x - \frac{3}{2}

Collect like terms

x + \frac{5}{3}-x - \frac{3}{2} = x -x+ \frac{5}{3} - \frac{3}{2}

x + \frac{5}{3}-x - \frac{3}{2} = \frac{5}{3} - \frac{3}{2}

Take LCM

x + \frac{5}{3}-x - \frac{3}{2} = \frac{10 -9}{6}

x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}

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Answer:

16 units

Step-by-step explanation:

see the attached figure to better understand the problem

Applying  the Intersecting Chords Theorem

we have that

AH*HC=DH*HB

substitute the given values

(20-x)(x)=(x+4)(12-x)

20x-x^2=12x-x^2+48-4x

Simplify

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Find out the length of segment DB

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DB=(x+4)+(12-x)=16\ units

<em>Note</em> In this problem it was not necessary to determine the value of x to calculate the DB segment.

Anyway, the calculation was done for didactic purposes.

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A cylindrical potato chip container has a diameter of 3.5 inches and a height of 12 inches what is the volume of the chip contai
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