Maria has to spend 5⅓ hours to finish her community service program in a community health clinic. Last week. she was able to spend 3 hours. Which equation can be used to determine the number of hours, h, that Maria still needs to spend to complete her service program? (1 point)
h-5 1/2=3 3/4
h-3 3/4=5 1/2
h+3 3/4=5 1/2
h+5 1/2=3 3/4
The correct equation that can be used to determine the number of hours, h, that Maria still needs to spend to complete her service program is:
h + 3 3/4 = 5 1/2
To determine the number of hours, h, that Maria still needs to spend to complete her service program, we can use the equation:
h + 3 3/4 = 5 1/2
To determine the number of hours that Maria still needs to spend to complete her service program, we can use the equation h + 3 3/4 = 5 1/2.
Here's an explanation of how to arrive at this equation:
1. Start with the total number of hours Maria needs to spend, which is 5 1/3 hours.
2. Deduct the number of hours she already spent from the total. Since she spent 3 hours last week, subtract 3 from 5 1/3. This gives us: 5 1/3 - 3 = 2 1/3.
3. Now, we need to convert 2 1/3 to a mixed number with the same denominator as the fractions in the answer choices, which is 4. To do that, we multiply both the numerator and denominator by 4, which gives us: 2 1/3 = 8/3.
4. Substitute the value of 8/3 into the equation h + 3 3/4 = 5 1/2. This gives us: h + 3 3/4 = 5 1/2.
Therefore, the equation that can be used to determine the number of hours, h, that Maria still needs to spend to complete her service program is h + 3 3/4 = 5 1/2.