Let's break down the solution step-by-step:
### 10. Convert [tex]\( 78\% \)[/tex] to a decimal.
To convert a percentage to a decimal, divide the percentage by 100.
[tex]\[ 78\% = \frac{78}{100} = 0.78 \][/tex]
So, [tex]\( 78\% \)[/tex] as a decimal is [tex]\( 0.78 \)[/tex].
### 11. Convert [tex]\( \frac{3}{5} \)[/tex] into a percent.
To convert a fraction to a percentage, multiply the fraction by 100.
[tex]\[ \frac{3}{5} = 3 \div 5 = 0.6 \][/tex]
Now, multiply by 100 to get the percentage:
[tex]\[ 0.6 \times 100 = 60\% \][/tex]
So, [tex]\( \frac{3}{5} \)[/tex] as a percentage is [tex]\( 60\% \)[/tex].
### 12. Solve:
[tex]\[ 30\% \text{ of } x = 60 \][/tex]
First, convert [tex]\( 30\% \)[/tex] to a decimal:
[tex]\[ 30\% = \frac{30}{100} = 0.3 \][/tex]
Then, set up the equation:
[tex]\[ 0.3x = 60 \][/tex]
To solve for [tex]\( x \)[/tex], divide both sides by 0.3:
[tex]\[ x = \frac{60}{0.3} \][/tex]
[tex]\[ x = 200 \][/tex]
So, the value of [tex]\( x \)[/tex] is [tex]\( 200 \)[/tex].
