Maria has to spend 5 1/2 hours to finish her community service program in a community health clinic. Last week, she was able to spend 3 3/4 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 1/2h
h − 5 1/2 = 3 3/4
The equation that can be used to determine the number of hours Maria still needs to spend to complete her service program is:
h + 3 3/4 = 5 1/2
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
To determine the number of hours Maria still needs to spend to complete her service program, you can use the equation:
h = (total hours) - (hours already spent)
In this case, the total hours Maria needs to spend is 5 1/2 hours, and she has already spent 3 3/4 hours. Plugging these values into the equation, we have:
h = 5 1/2 - 3 3/4
Now, let's simplify the equation to get the answer. First, we need to convert the mixed numbers to improper fractions:
5 1/2 = 11/2
3 3/4 = 15/4
Now, subtracting the fractions:
h = 11/2 - 15/4
To subtract these fractions, we need a common denominator. The least common denominator of 2 and 4 is 4. Thus, we convert the fractions:
h = (11/2)(2/2) - (15/4)(1/1)
h = 22/4 - 15/4
Now, subtracting the numerators and keeping the common denominator:
h = (22 - 15)/4
h = 7/4
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 = 7/4
The correct option is h = 7/4.