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3 years ago

A fraction reduces to 36 if its numerator is (6x)^5 what is it’s denominator

Mathematics

1 answer:

beks73 [17]3 years ago

7 0

Set up an equation:

Numerator is the top number and denominator is the bottom number in a fraction.

(6x)^5 / d = 36

(6x)^5 can be rewritten as 6^5x^5

6^5x^5 / d = 36

Raise 6 tot he power of 5:

7776x^5 /d = 36

Multiply both sides by d:

7776x^5 = 36d

Divide both sides by 36:

d = 7776x^5 / 36

d = 216x^5

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Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 t

adell [148]

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

$D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}$

The odd multiples of 9, $m$ , in the range $2\le m \le 82$ form the set

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3 years ago

a line with the slope of -2 passes through the point (1,7) what is the closest point on the line above (1,7) which has a whole n

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The closest point above on this line is (0,9)

You can find this by using the rise over run method. Since the slope is -2, we can move to the next whole number point by observing the fraction 2/-1.

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If you start on the point (1,7) and rise two, it will bring you to (1,9), then you have to move back one space (or run) to (0,9).

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