Sure, let’s solve these two problems step by step.
### Problem 8: Solve for [tex]\( m \)[/tex]
Given the equation:
[tex]\[
\frac{2}{5} = \frac{m}{70}
\][/tex]
To solve for [tex]\( m \)[/tex], we can use cross-multiplication. Cross-multiplication means we multiply the numerator of one fraction by the denominator of the other fraction.
[tex]\[
2 \times 70 = 5 \times m
\][/tex]
This simplifies to:
[tex]\[
140 = 5m
\][/tex]
Next, solve for [tex]\( m \)[/tex] by dividing both sides of the equation by 5:
[tex]\[
m = \frac{140}{5}
\][/tex]
[tex]\[
m = 28
\][/tex]
So the value of [tex]\( m \)[/tex] is [tex]\( 28 \)[/tex].
### Problem 9: Convert [tex]\( 8.25\% \)[/tex] to a decimal (rounding to four decimal places)
To convert a percentage to a decimal, divide the percentage by 100:
[tex]\[
8.25\% = \frac{8.25}{100}
\][/tex]
[tex]\[
8.25\% = 0.0825
\][/tex]
The decimal equivalent of [tex]\( 8.25\% \)[/tex] is [tex]\( 0.0825 \)[/tex].
So, the results are:
1. [tex]\( m = 28 \)[/tex]
2. [tex]\( 8.25\% = 0.0825 \)[/tex] (rounded to four decimal places).
