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------------------------------------------------ Which of these expressions is equivalent to [tex]$5.8 \div 1.15$[/tex]?

A. [tex]$0.58 \div 115$[/tex]
B. [tex]$5.8 \div 115$[/tex]
C. [tex]$58 \div 115$[/tex]
D. [tex]$580 \div 115$[/tex]

To find out which of the given expressions is equivalent to [tex]$5.8 \div 1.15$[/tex], let's break down the steps one by one.

1. First, calculate [tex]$5.8 \div 1.15$[/tex]:

We need to find the value of the division [tex]$ 5.8 \div 1.15 $[/tex].
[tex]\[
5.8 \div 1.15 = 5
\][/tex]

2. Now, evaluate each of the given options to find which one equals 5:

- Option 1: [tex]$ 0.58 \div 115 $[/tex]
[tex]\[
0.58 \div 115 = 0.005
\][/tex]
This does not equal 5.

- Option 2: [tex]$ 5.8 \div 115 $[/tex]
[tex]\[
5.8 \div 115 = 0.05
\][/tex]
This does not equal 5.

- Option 3: [tex]$ 58 \div 115 $[/tex]
[tex]\[
58 \div 115 = 0.5043 \approx 0.504
\][/tex]
This does not equal 5.

- Option 4: [tex]$ 580 \div 115 $[/tex]
[tex]\[
580 \div 115 = 5
\][/tex]
This equals 5.

3. Conclusion:

The expression [tex]$ 580 \div 115 $[/tex] is equivalent to [tex]$5.8 \div 1.15$[/tex].

Therefore, the correct answer is:
[tex]\[
580 \div 115
\][/tex]