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Question

50k-18\%
Simplify the expression
50k-0.18
Evaluate
50k-18\%
\text{By definition }p\%=p \times 0.01
50k-18\times 0.01
Solution
50k-0.18
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Factor the expression
\frac{1}{50}\left(2500k-9\right)
Evaluate
50k-18\%
\text{By definition }p\%=p \times 0.01
50k-18\times 0.01
Calculate
50k-0.18
Convert the decimal into a fraction
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Evaluate
0.18
Convert the decimal into a fraction
\frac{18}{100}
Reduce the fraction
\frac{9}{50}
50k-\frac{9}{50}
Solution
\frac{1}{50}\left(2500k-9\right)
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Find the roots
k=\frac{9}{2500}
Alternative Form
k=0.0036
Evaluate
50k-18\%
To find the roots of the expression,set the expression equal to 0
50k-18\%=0
Calculate
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Simplify
50k-18\%
\text{By definition }p\%=p \times 0.01
50k-18\times 0.01
Calculate
50k-0.18
50k-0.18=0
Move the constant to the right-hand side and change its sign
50k=0+0.18
Removing 0 doesn't change the value,so remove it from the expression
50k=0.18
Divide both sides
\frac{50k}{50}=\frac{0.18}{50}
Divide the numbers
k=\frac{0.18}{50}
Solution
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Evaluate
\frac{0.18}{50}
Convert the decimal into a fraction
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Evaluate
0.18
Convert the decimal into a fraction
\frac{18}{100}
Reduce the fraction
\frac{9}{50}
\frac{\frac{9}{50}}{50}
Multiply by the reciprocal
\frac{9}{50}\times \frac{1}{50}
To multiply the fractions,multiply the numerators and denominators separately
\frac{9}{50\times 50}
Multiply the numbers
\frac{9}{2500}
k=\frac{9}{2500}
Alternative Form
k=0.0036
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