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Which is the solution to the equation #8.25+1/4w= 10.75#?

Answer 1

#w = 10#

First, isolate the #w# term on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

#8.25 - color(red)(8.25) + 1/4w = 10.75 - color(red)(8.25)#

0 + 1/4w = 2.5#

#1/4w = 2.5#

Next, solve for #w# while keeping the equation balanced:

#color(red)(4) xx 1/4w = color(red)(4) xx 2.5#

#4/4w = 10#

#1w = 10#

#w = 10#

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Answer 2

Isaiah Anthony

To solve the equation 8.25 + (1/4)w = 10.75, you would first subtract 8.25 from both sides to isolate the term with "w" on one side of the equation. Then, you would multiply both sides by 4 to eliminate the fraction. Finally, divide both sides by the coefficient of "w" to solve for "w". The solution is w = 9.5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.