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36=4/9d what does d equal

User Le Garcon
by
4.6k points

2 Answers

3 votes

Answer: d=81

Explanation:

Given

36=4/9 d

Divide both sides by 4/9 (division property of equality)

d=36 ÷ (4/9)

Turn division of fraction into multiplication of its reciprocal

d=36 × (9/4)

Simplify

d=81

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User Yspreen
by
4.1k points
3 votes

Answer:

d = 81

Explanation:

Solve for d:

36 = (4 d)/9

Hint: | Reverse the equality in 36 = (4 d)/9 in order to isolate d to the left hand side.

36 = (4 d)/9 is equivalent to (4 d)/9 = 36:

(4 d)/9 = 36

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (4 d)/9 = 36 by 9/4:

(9×4 d)/(4×9) = 9/4×36

Hint: | Express 9/4×4/9 as a single fraction.

9/4×4/9 = (9×4)/(4×9):

(9×4)/(4×9) d = 9/4×36

Hint: | Express 9/4×36 as a single fraction.

9/4×36 = (9×36)/4:

(9×4 d)/(4×9) = (9×36)/4

Hint: | Cancel common terms in the numerator and denominator of (9×4 d)/(4×9).

(9×4 d)/(4×9) = (4×9)/(4×9)×d = d:

d = (9×36)/4

Hint: | In (9×36)/4, divide 36 in the numerator by 4 in the denominator.

36/4 = (4×9)/4 = 9:

d = 9×9

Hint: | Multiply 9 and 9 together.

9×9 = 81:

Answer: d = 81

User SourceVisor
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4.6k points