Answer :
Sure, let's break down the steps to find the relationship between 40%, [tex]\( x \)[/tex], and 35.9.
1. Understanding the question: We want to express a relationship where 40% of a number [tex]\( x \)[/tex] equals 35.9.
2. Setting up the equation: To express this relationship as an equation, we can write:
[tex]\[
0.40 \times x = 35.9
\][/tex]
Here, 0.40 represents 40% converted to a decimal.
3. Finding [tex]\( x \)[/tex]: To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We do this by dividing both sides by 0.40:
[tex]\[
x = \frac{35.9}{0.40}
\][/tex]
4. Solution: Perform the division to find the value of [tex]\( x \)[/tex]:
[tex]\[
x = 89.75
\][/tex]
So, the equation that shows the relationship of 40%, [tex]\( x \)[/tex], and 35.9 is [tex]\( 0.40 \times x = 35.9 \)[/tex], and solving for [tex]\( x \)[/tex] gives [tex]\( x = 89.75 \)[/tex].
1. Understanding the question: We want to express a relationship where 40% of a number [tex]\( x \)[/tex] equals 35.9.
2. Setting up the equation: To express this relationship as an equation, we can write:
[tex]\[
0.40 \times x = 35.9
\][/tex]
Here, 0.40 represents 40% converted to a decimal.
3. Finding [tex]\( x \)[/tex]: To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We do this by dividing both sides by 0.40:
[tex]\[
x = \frac{35.9}{0.40}
\][/tex]
4. Solution: Perform the division to find the value of [tex]\( x \)[/tex]:
[tex]\[
x = 89.75
\][/tex]
So, the equation that shows the relationship of 40%, [tex]\( x \)[/tex], and 35.9 is [tex]\( 0.40 \times x = 35.9 \)[/tex], and solving for [tex]\( x \)[/tex] gives [tex]\( x = 89.75 \)[/tex].
