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yawa3891 [41]
3 years ago
12

What is the value of x, if 105% of 90 is equal to 200% of x?

Mathematics
1 answer:
Brut [27]3 years ago
3 0

Answer:

Step-by-step explanation:

200% of x = 105% of 90

(200/100) * x = (105/100) * 90

2 * x = 1.05 * 90

x = \frac{1.05*90}{2}\\\\x=1.05*45\\\\

x = 47.25

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<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

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\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}      ‏‏‎      ‏‏‎‎      \mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}‏‏‎‎

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Apply the distributive property:

\mathsf{3x = 4(x-6)}

\mathsf{3x = 4(x) - 4(6)}

\mathsf{3x = 4x - 24}

Add 24 to both sides:

\mathsf{3x + 24 = 4x - 24 + 24}

\mathsf{3x + 24 = 4x}

Substract 3x to both sides

\mathsf{3x - 3x + 24 = 4x - 3x}

\mathsf{24 = 4x - 3x}

\large{\boxed{\mathsf{24 = x}}}

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<h3><u>Answer</u>. The value of x = 24.</h3>

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8 0
3 years ago
2) A big league pitching coach tries to limit his pitchers to 110
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i need help please! I think I know the answer but for some reason my brain's telling me that it's wrong so if someone could expl
Ivenika [448]

Considering the slopes of the segments, the correct option is:

D. No, because the triangle ABC doesn't have a pair of perpendicular sides.

<h3>When are lines parallel, perpendicular or neither?</h3>

The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:

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Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:

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No sides are perpendicular, hence option D is correct.

More can be learned about slopes at brainly.com/question/20847660

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