Let's solve the given mathematical operations step-by-step. We have two main tasks:
1. Solve for [tex]\( x \)[/tex] in the equation [tex]\( 65.6 \div x = 6.56 \)[/tex].
2. Find the value for [tex]\( y \)[/tex] in the equation [tex]\( y \times 100 = 5680 \)[/tex].
### Step 1: Solve for [tex]\( x \)[/tex]
The given equation is:
[tex]\[
65.6 \div x = 6.56
\][/tex]
This can be rewritten as:
[tex]\[
65.6 = 6.56 \times x
\][/tex]
To find [tex]\( x \)[/tex], we divide both sides of the equation by 6.56:
[tex]\[
x = \frac{65.6}{6.56}
\][/tex]
Performing this division will give the value of [tex]\( x \)[/tex]. According to our solution, [tex]\( x \)[/tex]:
[tex]\[
x = 10.0
\][/tex]
### Step 2: Solve for [tex]\( y \)[/tex]
The given equation is:
[tex]\[
y \times 100 = 5680
\][/tex]
To isolate [tex]\( y \)[/tex], we divide both sides by 100:
[tex]\[
y = \frac{5680}{100}
\][/tex]
Performing this division will give the value of [tex]\( y \)[/tex]. According to our solution, [tex]\( y \)[/tex]:
[tex]\[
y = 56.8
\][/tex]
### Summary
After solving the equations step-by-step, we find:
[tex]\[
x = 10.0
\][/tex]
and
[tex]\[
y = 56.8
\][/tex]
Thus, we have successfully determined the values of [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
