Convert the decimal expansion 0.291666... to a fraction.
2 answers:
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Answer:
Read the explanation!
Step-by-step explanation:
<em>Let the "certain number" be </em><em>. </em>
( is a symbol for multiplication).
<em>Create a few equations and expressions:</em>
The sum of 12 and a certain number:
The product of 3 and the number:
The sum of 12 and a certain number is equal to the product of 3 and the number:
=
Solve!
12=3x-x
12=2x
x=6
Answer:
B and C
Step-by-step explanation:
Rearrange each equation into slope- intercept form
A
3x - 2y = 4 ( subtract 3x from both sides )
- 2y = - 3x + 4 ( divide all terms by - 2 )
y = x - 2 ← not equivalent
B
2x - 3y = 12 ( subtract 2x from both sides )
- 3y = - 2x + 12 ( divide all terms by - 2 )
y = x - 4 ← equivalent
C
- 4(2x - 3y ) = - 48 ( divide both sides by - 4 )
2x - 3y = 12 ← same as B ⇒ equivalent
D
2(x + 6) = 3y
3y = 2x + 12 ( divide all terms by 3 )
y = x + 4 ← not equivalent
E
2x - 3y = 4 ( subtract 2x from both sides )
- 3y = - 2x + 4 ( divide all terms by - 3 )
y = x -
← not equivalent