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How do you solve #1/2+ 4/27= t/18#?

Answer 1

Isaiah Anthony

#t=13#

To solve #1/2+4/27 = t/18 #

Begin by multiplying each of the terms by the common denominator #54#

#(54) 1/2+(54) 4/27 = (54) t/18 #

#27cancel(54) 1/cancel(2)+3cancel(54) 4/cancel(27) = 3cancel(54) t/cancel(18) #

#27+12=3t#

#39=3t#

#39/3 = t/cancel3 cancel(3)#

#13=t#

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Answer 2

Avery Alexander

To solve the equation 1/2 + 4/27 = t/18, you need to find the value of t.

First, find a common denominator for the fractions on the left side of the equation. The least common multiple of 2 and 27 is 54.

Rewrite the equation with the common denominator: 27/54 + 8/54 = t/18.

Combine the fractions on the left side: 35/54 = t/18.

To solve for t, cross-multiply: 35 * 18 = 54t.

Multiply: 630 = 54t.

Divide both sides by 54: t = 630/54.

Simplify the fraction: t = 35/3 or t = 11.67 (rounded to two decimal places).

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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.