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Reika [66]
3 years ago
8

(3x-4)/(14)=(9)/(10) Solve the proportion. Round to the tenths

Mathematics
1 answer:
____ [38]3 years ago
3 0

The value of "x" is 5.5

<em><u>Solution:</u></em>

Given that we have to solve the proportion

\frac{3x - 4}{14} = \frac{9}{10}

We can solve the above given proportion for "x" by cross multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable "x"

\rightarrow \frac{3x - 4}{14} = \frac{9}{10}\\\\\rightarrow 10(3x - 4) = 14 \times 9\\\\\rightarrow 30x - 40 = 126\\\\\rightarrow 30x = 126 + 40\\\\\rightarrow 30x = 166\\\\\rightarrow x = 5.533

On rounding to nearest tenth we get 5.5

Thus value of "x" is 5.5

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