Moira needs a total of 2 1/3 hours to finish reading a book. Yesterday, she tead for 1 * T/2 hours. Supply the comect numbers to complete the equation frut can be used to determine the number of hours, A, that Maira needs to read to finish the book.
The problem states that Moira needs a total of 2 1/3 hours to finish reading a book. To determine the number of hours, A, that Moira needs to read to finish the book, we need to subtract the time she already spent reading from the total time needed.
Let's first convert 2 1/3 hours to an improper fraction. To do this, we multiply the whole number (2) by the denominator of the fraction (3), and then add the numerator (1). This gives us (2 × 3) + 1 = 7. So, 2 1/3 hours can be written as 7/3 hours.
Now, let's denote the time Moira already spent reading as T/2 hours. We are given that "Yesterday, she read for 1 * T/2 hours". This means that T/2 hours is the time she spent yesterday.
To find the total time needed to finish the book, we need to subtract the time already spent from the total time needed.
Total time needed = Total time - Time already spent
Total time needed = 7/3 hours - T/2 hours
Thus, the equation to determine the number of hours, A, that Moira needs to read to finish the book is:
A = 7/3 - T/2
To determine the number of hours, A, that Moira needs to finish the book, we can set up the equation as follows:
Total time needed to finish the book = Time Moira read yesterday + Time Moira still needs to read
Given that Moira needs a total of 2 1/3 hours to finish the book, we can represent this as:
2 1/3 = 1 * T/2 + A
To solve this equation, we can first convert the mixed number 2 1/3 to an improper fraction:
2 1/3 = (2 * 3 + 1) / 3 = 7 / 3
Substituting this into the equation, we have:
7 / 3 = 1 * T/2 + A
To isolate A, we subtract T/2 from both sides of the equation:
7 / 3 - 1 * T/2 = A
To simplify the right side, we need to find a common denominator for 3 and 2, which is 6. Multiplying 7/3 by 2/2 and T/2 by 3/3, we get:
14/6 - 3T/6 = A
Combining the fractions on the left side gives us:
(14 - 3T) / 6 = A
Therefore, the equation that can be used to determine the number of hours, A, that Moira needs to read to finish the book is:
A = (14 - 3T) / 6
To determine the number of hours, A, that Moira needs to read to finish the book, we need to solve an equation.
Let's break down the equation given:
Moira needs a total of 2 1/3 hours to finish reading a book. We can write this as 2 + 1/3 = 7/3 hours.
Yesterday, Moira read for 1 * T/2 hours.
To set up the equation, we can represent the time Moira needs to read to finish the book (A) using the given information.
A + 1 * T/2 = 7/3
Since the equation involves fractions, we can simplify it by multiplying everything by the least common denominator (LCD), which is 6.
6 * A + 6 * (1 * T/2) = 6 * (7/3)
Simplifying further:
6A + 6 * (T/2) = 42/3
6A + 3T = 14
Now, we have the equation: 6A + 3T = 14.